# Previous seminars at the Landau Institute scientific council

## Spectral Flow construction of N = 2 superconformal Calabi-Yau orbifolds

20 May in 11:30

__A.Belavin__

__, V.Belavin and S.Parkhomenko__

For each admissible group, we explicitly construct a special set
of primary fields of the corresponding orbifold model using
the spectral flow winding and the requirement of mutual locality.
Then we show that the OPE of the constructed fields is closed.
We also show that the mutual locality ensures the modular invariance
of the partition function of the resulting orbifold.
Using various examples of orbifolds, we construct chiral
and antichiral rings and show that they coincide with the cohomology groups
of mutually mirrored CY-manifolds.
## Peculiarities of the density of states in SN bilayers

13 May in 11:30

__Ya. V. Fominov__

*E*) in a normal-metallic (N) film contacted by a bulk superconductor (S). We assume that the system is diffusive and the SN interface is transparent. In the limit of thin N layer (compared to the coherence length), we analytically find three different types of the DoS peculiarity at energy equal to the bulk superconducting order parameter Δ

_{0}. (i) In the absence of the inverse proximity effect, the peculiarity has the check-mark form with ν(Δ

_{0})=0 as long as the thickness of the N layer is smaller than a critical value. (ii) When the inverse proximity effect comes into play, the check-mark is immediately elevated so that ν(Δ

_{0})>0. (iii) Upon further increasing of the inverse proximity effect, ν(

*E*) gradually evolves to the vertical peculiarity (with an infinite-derivative inflection point at

*E*=Δ

_{0}). This crossover is controlled by a materials-matching parameter which depends on the relative degree of disorder in the S and N materials.

arXiv:2205.06171

## Affine Yangian of gl(2) and integrable structures of superconformal field theory

29 April in 11:30

## On loop corrections to integrable 2D sigma model backgrounds

29 April in 11:30 (short)

## Folding transformations for q-Painleve equations

8 April in 11:30

Based on joint work with A. Shchechkin [arXiv:2110.15320]

## Attenuation and inflection of initially planar shock wave generated by femtosecond laser pulse

25 March in 11:30

## On the $QQ\bar q\bar q$-Quark Potential in String Models

11 March in 11:30 (short)

## High-frequency transport and zero-sound in an array of SYK quantum dots

28 January in 11:30

__A.V. Lunkin__, N/V/ Feigel'man

## Equations of state (EoS), two white spots in EoS: examples from laser ablation in liquid and from laser driven mechanics of deformable solids

21 January in 11:30

[1] N. A. Inogamov, V. V. Zhakhovsky, V. A. Khokhlov, Physical processes during laser ablation into a liquid, Pisma v ZhETP, 115(1), 20-27 (2022).

Example 2. Uncertainty of the EoS state associated with elastic-plastic phenomena in solids. It is necessary to describe both elastic characteristics and supercritical fluid at the same time.

Powerful laser exposure causes irreversible changes in the crystal structure of the target. These changes are the basis of laser shock peening (LSP) technologies. The processes determining the thickness of the residual strain layer and related residual stresses are investigated in this work. It is known that the termination of pinning is associated with the attenuation of the laser shock wave. In this work, new information was obtained concerning the transformation of the wave from elastic-plastic to elastic mode of propagation in the case of picosecond impact. The elastic wave is useless for pinning. It turns out that during the transformation, the classical configuration with the plastic jump and the elastic precursor before it disappears. In this case, the leading edge of the expanding plastic layer gradually reduces its speed below the volume speed of sound, smears inside the rarefaction wave and stops. While the elastic system of waves is very important for the modern laser opto-acoustics applications.

[2] N. A. Inogamov, E. A. Perov, V. V. Zakhovsky, V. V. Shepelev, Y. V. Petrov, S. V. Fortova, Laser Shock Wave: Plasticity, Residual Deformation Layer Thickness and Transition from Elastic-Plastic to Elastic Propagation Mode, Pisma v ZhETP, 115(2), 80-88 (2022).

## Vozmozhnosti spinovykh eksperimentov po fundamental’nym diskretnym simmetriyam na kollaidere NICA v Dubne

14 January in 11:30

## Deformed Virasoro Algebra via Vertex Operators of affine sl(2)

14 January in 11:30 (short)

## On optimization problem of array size for modern DFT libraries.

24 December 2021 in 11:30 (short)

## On the possibility of a significant increase in the storage time of ultracold neutrons in traps coated with a liquid helium film

24 December 2021 in 11:30

__P.D. Grigoriev__, A.M. Dyugaev

## Anisotropic superconductivity onset in quasi-two-dimensional conductors

24 December 2021 in 11:30 (short)

## Differential substitutions for non-Abelian equations of KdV type

17 December 2021 in 11:30 (short)

## Features of Hamiltonian dynamics in quasiperiodic potentials in the plane

17 December 2021 in 11:30 (short)

__A.Ya. Maltsev__

## Dispersionless BKP Equation, the Manakov–Santini System and Einstein–Weyl Structures

10 December 2021 in 11:30 (short)

## Matrix extension of multidimensional dispersionless integrable hierarchies

10 December 2021 in 11:30 (short)

## On S-matrix in T ̄T-like perturbed RSOS models

10 December 2021 in 11:30

__Daria Shabetnik__, Yaroslav Pugai

## Correspondence between the type of the diffraction spectrum on a subwavelength resonant grating and its profile

3 December 2021 in 11:30 (short)

__Vergeles S.S.__, Efremova E.A., Perminov S.V.

[1] Efremova, E. A., Perminov, S. V., & Vergeles, S. S. (2021). Resonance behavior of diffraction on encapsulated guided-mode grating of subwavelength thickness. Photonics and Nanostructures-Fundamentals and Applications, 46, 100953.

## The structure of coherent geostrophic vortices at a finite Rossby number and in the presence of friction on the boundary.

3 December 2021 in 11:30

__Vergeles S.S.__, Parfenyev V.M., Vointsev I.A., Skoba A.O.

[1] Vladimir Parfenyev and Sergey Vergeles. Influence of Ekman friction on the velocity profile of a coherent vortex in a three-dimensional rotating turbulent flow, Physics of Fluids 33, 115128 (2021).

[2] Parfenyev, V. M., Vointsev, I. A., Skoba, A. O., & Vergeles, S. S. (2021). Velocity profiles of cyclones and anticyclones in a rotating turbulent flow. Physics of Fluids, 33(6), 065117.

## MARANGONY CONVECTION WITHIN ELLIPSOIDAL ISOTROPIC DROPLETS FORMED IN FREE STANDING SMECTIC FILMS

19 November 2021 in 11:30

__Elena S. Pikina__, M.A. Shishkin, S.A. Pikin and B.I. Ostrovskii

In continuation of this work we have solved the general problem of the critical Marangoni convection flows within isotropic ellipsoidal drops in FSSF in Boussinesq approximation taking the axial symmetry of the system into consideration. Taking into account the small height of the drops, the gravitational force in Navier–Stokes equation (term with the convective buoyancy force) can be neglected. The series of the linearly independent exact critical solutions for Stokes stream functions in ellipsoidal coordinates (with zero-valued time increment) was determined. Accordingly, the exact solutions for the local distribution of the velocities in the drop in linear approximation over the velocity perturbations were derived. The temperature distribution in the ellipsoidal drops and the surrounding air was determined in the frame of the perturbation theory using the deviation from the initial distribution corresponding to the mechanical equilibrium; it was shown that temperature distribution within the drop corresponds to constant temperature vertical gradient. The corresponding exact solution for the temperature disturbances was derived also in linear approximation over perturbations of the velocity and temperature. In doing so we have used the standard boundary conditions of the equality of the temperatures and the heat fluxes at the drop interface. Further the boundary condition for the equality of the tangential forces at the drop surface with account to the thermocapillary force was written in the ellipsoidal coordinates. This condition can be derived for the given Marangoni number with a certain precision, in dependency on the number of terms considered in the expansion of the solution over the parameters of the critical motions. The boundary condition for the given Marangoni number was determined as a function of the parameter characterizing the ratio of the height and radius of the drop and for the different ratios of the heat conductivity of the liquid crystal and air. The main contributions to the critical thermocapillary motions in the drops for different values of the above parameters were determined. The specific feature of the system under consideration is that due to curvature of the drop interface there is always a temperature gradient along its free surface. Thus, thermocapillary convection in ellipsoidal drops is possible for any arbitrarily small Marangoni numbers – in the frame of the approximation used only the type of the convective motion is varying.

## Jet quenching in small sytems

19 November 2021 in 11:30 (short)

## Radiative $p_{\perp}$-broadening of fast partons in an expanding quark-gluon plasma

19 November 2021 in 11:30 (short)

## A note on the vacuum structure of lattice Euclidean quantum gravity: “birth” of macroscopic space-time and PT-symmetry breaking

22 October 2021 in 11:30 (short)

## Picosecond laser action on iron films: elastic, plastic and polymorphic transformations

22 October 2021 in 11:30 (short)

__Khokhlov V. A.__, Ashitkov S. I., Inogamov N. A., Komarov P. S., Mursov S. A., Struleva E. V., Zhakhovsky V. V.

## Diffraction on a Microbubble and the Morphology of the Silicon Surface Irradiated through Glycerol by a Pair of Femtosecond Laser Pulses

22 October 2021 in 11:30

__Khokhlov__, V. A.; Eganova, E. M.; E. A. Pershina & Ashitkov, S. I.

## Poisson brackets of hydrodynamic type and their generalizations

15 October 2021 in 11:30 (short)

__A.Ya. Maltsev__, S.P. Novikov

## String breaking in a cold wind as seen by string models

8 October 2021 in 11:30 (short)

arXiv:2106.14716

## Quantum mechanics of radiofrequency-driven coherent beam oscillations in storage rings

8 October 2021 in 11:30

__N.N. Nikolaev__, F. Rathmann and A. Wirzba

## Squared eigenfunction decomposition near Akhmediev breather

24 September 2021 in 11:30 (short)

__P.G. Grinevich__, P.M. Santini

## Mean-field interactions in evolutionary spatial games

24 September 2021 in 11:30 (short)

Based on paper accepted to Physical Review Research, with D. Antonov and E. Burovski, arXiv:2107.11088

## Algorithm for replica redistribution in implementation of the population annealing method on a hybrid supercomputer architecture

24 September 2021 in 11:30 (short)

Based on the paper with A. Russkov and R Chulkevich, Computer Physics Communications, 261 (2021) 107786

## Explicit construction of N = 2 superconformal orbifolds

3 September 2021 in 11:30

__S. Parkhomenko__

## Anomalous elasticity of anisotropic flexible two-dimensional materials

3 September 2021 in 11:30

## Superconducting phases and the second Josephson harmonic in tunnel junctions between diffusive superconductors

18 June 2021 in 12:30

__A.S. Osin__, Ya.V. Fominov

[1] A.S. Osin and Ya.V. Fominov, arXiv:2105.05786

## Relation between multifractality and entanglement for nonergodic extended states

18 June 2021 in 11:30

[A] G. De Tomasi, I. M. K., “Multifractality meets entanglement: relation for non-ergodic extended states”, Phys. Rev. Lett. 124, 200602 (2020) [arXiv:2001.03173]

[B] I. M. K., M. Haque, and P. McClarty, “Eigenstate Thermalization, Random Matrix Theory and Behemoths”, Phys. Rev. Lett. 122, 070601 (2019) [arXiv:1806.09631].

[C] M. Haque, P. A. McClarty, I. M. K. , “Entanglement of mid-spectrum eigenstates of chaotic many-body systems—deviation from random ensembles.” [arXiv:2008.12782].

[D] A. Bäcker, I. M. K., M. Haque,, “Multifractal dimensions for chaotic quantum maps and many-body systems”, Phys. Rev. E 100, 032117 (2019) [arxiv:1905.03099].

[E] G. De Tomasi, I. M. K. , "Ergodic Entanglement of many-body multifractal states in quadratic Hamiltonians", in preparation

## Interaction of a Neel-type skyrmion and a superconducting vortex

11 June 2021 in 11:30

__E.S. Andriyahina__, I.S. Burmistrov

[1] E.S. Andriyakhina. and I.S. Burmistrov “Interaction of a Néel–type skyrmion and a superconducting vortex” // arXiv: https://arxiv.org/abs/2102.05434.

[2] A.P. Petrović et al. “Skyrmion-(Anti)vortex coupling in a chiral magnet-superconductor heterostructure” // Phys.Rev. Lett.126, 117205 (2021).

## Vortex structure in a clean superconductor in the vicinity of a planar defect

11 June 2021 in 11:30

__U.E. Khodaeva__, M.A. Skvortsov

## Dynamical phases in Rosenzweig-Porter model with a ’multifractal’ distribution of hopping

4 June 2021 in 11:30

We also consider the extension of this RP model relaxing the symmetry inherited from the Bethe lattice and find lines of phase transitions from the exponential to the stretch exponential behavior of survival probability.

## Microwave response of a chiral Majorana interferometer

14 May 2021 in 11:30

## Two-impurity scattering in quasi-one-dimensional systems

14 May 2021 in 11:30

__N.S. Peshcherenko__

## Conductivity and thermoelectric coefficients of doped SrTiO_{3} at high temperatures

30 April 2021 in 11:30

__Kh. Nazaryan, M.V. Feigelman__

We developed a theory of electric and thermoelectric conductivity of lightly doped SrTiO3 in the non-degenerate region k_B T ≥ E_F , assuming that the major source of electron scattering is their interaction with soft transverse optical phonons present due to proximity to ferroelectric transition. We have used kinetic equation approach within relation-time approximation and we have determined energy-dependent transport relaxation time τ (E) by the iterative procedure. Using electron effective
mass m and electron-transverse phonon coupling constant λ as two fitting parameters, we are able to describe quantitatively a large set of the measured temperature dependences of resistivity R(T ) and Seebeck coefficient S(T ) for a broad range of electron densities studied experimentally in recent paper by K.Behnia and his colleagues. In addition, we calculated Nernst ratio in the linear approximation over weak magnetic field in the same temperature range.

## Multiple Equilibria and Resilience in Large Complex Systems: beyond May-Wigner model

9 April 2021 in 11:30

## Six-waves kinetic equation and its applicability to quintic NLSE

9 April 2021 in 11:30 (short)

__A.O. Korotkevich__, G. Kovacic, J. Shatah

## On coincidence of periods of the Berglund–Hübsch–Krawitz (BHK) multiple mirrors

2 April 2021 in 11:30 (short)

Alexander Belavin, Vladimir Belavin, Gleb Koshevoy, "Periods of Berglund–Hübsch–Krawitz mirrors", arXiv: hep-th-2012.03320 ; "Periods of the multiple Berglund–Hübsch–Krawitz mirrors", Letters in Mathematical Physics, 111, 93 (2021).

## On matrix Painlev\'e II equations

26 March 2021 in 11:30 (short)

__V.E. Adler__, V.V. Sokolov

## Order parameter distribution in strongly disordered superconductors: analytical theory

12 March 2021 in 11:30

__A. V. Khvalyuk__, M. V. Feigel'man

## Tail states and unusual localization transition in low-dimensional Anderson model with power-law hopping

12 March 2021 in 11:30

__M.V. Feigel'man__

## Multifractally-enhanced superconductivity in thin films

26 February 2021 in 11:30

## Remarks on Static Three-Quark Potentials and String Breaking

12 February 2021 in 11:30 (short)

## Ground state of a quantum particle in a potential field. Modeling of potentials by the inverse problem method (dedicated to the memory of A. Shabat)

18 December 2020 in 11:30

__Alexander Dyugaev__, Pavel Grigoriev

We found a wide class of potentials for which the energy of the ground state is stationary during the translations of wave function for the dimension d = 1,2,3. For dimension d = 1, these functions are known from the theory of nonlinear equations. Examples of nonlinear equations with zero ground state energy are given. Functions localized on a sphere and the crater-like potentials are investigated.

## Order parameter and heat capacity of superconducting granules

18 December 2020 in 11:30 (short)

__Alexander Dyugaev__, Pavel Grigoriev

The temperature dependence of the excess heat capacity of granules $ \Delta C = [C_S (T) -C_N (T)] / C_N (Tc) $ is determined, where $ C_S $ and $ C_N $ are the heat capacities of the superconducting and normal phases. At low T, the heat capacity of the granules does not depend on their size. At $T \rightarrow Tc \; \; \Delta C (Tc) = A (1-2 / \pi) $, where $ A $ is the jump in the heat capacity of the bulk sample. In the region $ T> Tc$, $\Delta C (T) $ depends only on the parameter $z = ln (T/Tc) / \delta^{1/2} $; for $z> 1$ $\Delta C = 3/ (2\pi ^2 z^2)$. The slow logarithmic dependence $\Delta C (T)$ can be experimentally observed at $T \sim 2Tc$.

## Dispersionless integrable systems and the Bogomolny equations on an Einstein-Weyl geometry background

11 December 2020 in 11:30 (short)

## Collective nuclear vibrations and initial state shape fluctuations in central Pb+Pb collisions: resolving the $v_2$ to $v_3$ puzzle

11 December 2020 in 11:30 (short)

B.G. Zakharov, Collective nuclear vibrations and initial state shape fluctuations in central Pb + Pb collisions: resolving the $v_2$ to $v_3$ puzzle, Письма в ЖЭТФ, 112 (7), 435-436 (2020)

## Jet quenching in heavy ion collisions at RHIC and LHC energies

11 December 2020 in 11:30

## Unstable modes for linearization of NLS near Akhmediev breather

11 December 2020 in 11:30 (short)

## Quantum breakdown of superconductivity in low-dimensional materials

4 December 2020 in 11:30

B. Sacépé, M. Feigel'man, T.M. Klapwijk, Quantum breakdown of superconductivity in low-dimensional materials, Nature Physics 16, 734-746 (2020); arXiv:2007.15870

## Reconstructions of the electron dynamics in magnetic field and the geometry of complex Fermi surfaces

20 November 2020 in 11:30 (short)

## Moutard transformation for the two-dimensional heat conductivity operator

13 November 2020 in 11:30 (short)

## Creation and annihilation of point-potentials using Moutard-type transform in spectral variable

13 November 2020 in 11:30 (short)

## Superconductivity Suppression in Disordered Films: Interplay of Two-dimensional Diffusion and Three-dimensional Ballistics

6 November 2020 in 11:30

__D.S. Antonenko__, M.A. Skvortsov

D.S. Antonenko, M.A Skvortsov,. JETP Lett. (2020). https://doi.org/10.1134/S0021364020190017

## Numerical investigation of stability of Stokes waves.

6 November 2020 in 11:30

__A.O. Korotkevich__, S.A. Dyachenko, P.M. Lushnikov, and A.A. Semenova.

## Painlev\'e type reductions in the non-Abelian Volterra lattices

30 October 2020 in 11:30 (short)

## The effect of superconducting fluctuations on the ac conductivity of a 2D electron system in the diffusive regime

23 October 2020 in 11:30 (short)

## Interaction-induced metallicity in a two-dimensional disordered non-Fermi liquid

16 October 2020 in 11:30

__Pavel Nosov__, Igor Burmistrov, Srinivas Raghu

## Spectroscopic evidence for strong correlations between local resistance and superconducting gap in ultrathin NbN films

16 October 2020 in 11:30 (short)

__M.V. Feigel'man__

## Critical behavior at the localization transition on random regular graphs

9 October 2020 in 11:30

## Conductivity of superconductors in the flux flow regime

9 October 2020 in 11:30

__M.V. Feigel'man__, and B.Z.Spivak

## Coalescence of isotropic droplets in overheated free standing smectic films

2 October 2020 in 11:30

__Elena S. Pikina__, Boris I. Ostrovskii and Sergey A. Pikin

E.S. Pikina, B.I. Ostrovskii, S.A. Pikin, Coalescence of isotropic droplets in overheated free standing smectic films, Soft Matter, 16(19), 4591-4606 (2020)

## Zeros of Riemann’s Zeta Functions in the Line z=1/2+it_{0}

25 September 2020 in 11:30

It was found that, in addition to trivial zeros in points ($ z = -2N, N = 1, 2, ... $, natural numbers), the Riemann’s zeta function $\zeta(z)$ has zeros only on the line {$z = 1/2 + i t_0$, $t_0$ is real}. All zeros are numerated, and for each number, N, the positions of the non-overlap intervals with one zero inside are found. The simple equation for the determination of centers of intervals is obtained. The analytical function $\eta(z)$), leading to the possibility fix the zeros of the zeta function $\zeta(z)$, was estimated. To perform the analysis, the well-known phenomenon, phase-slip events, is used. This phenomenon is the key ingredient for the investigation of dynamical processes in solid-state physics, for example, if we are trying to solve the TDGLE (time-dependent Ginzburg-Landau equation).

J. Supercond. Novel Magn., 32(11), 3363-3368 (2019)

## Perturbed Sachdev-Ye-Kitaev model: a polaron in the hyperbolic plane.

25 September 2020 in 11:30

__A. V. Lunkin__, A. Yu. Kitaev, and M. V. Feigel'man

## Zerkal’nye pary orbifoldov Kvintiki

18 September 2020 in 11:30 (short)

__B. Eremin__, A. Belavin

## Localized conical edge modes and laser emission in photonic liquid crystals

11 September 2020 in 11:30 (short)

1. V.A. Belyakov, S.V. Semenov, Localized conical edge modes of higher orders in photonic liquid crystals, Crystals, 9(10), 542 (2019);

2. V.A. Belyakov, Localized Conical Edge Modes in Optics of Spiral Media (First Diffraction Order), Crystals, 9(12), 674 (2019).

## Non-Abelian evolution systems with conservation laws and symmetries

11 September 2020 in 11:30

1. V. Sokolov, T. Wolf, Non-commutative generalization of integrable quadratic ODE systems, Lett. Math. Phys., 110(3), 533-553 (2020)

2. V.E. Adler, V.V. Sokolov, Non-Abelian evolution systems with conservation laws, arXiv:2008.09174

## Maxwell equations in curved space-time: non-vanishing magnetic field in pure electrostatic systems

4 September 2020 in 11:30

__S.N. Vergeles__

## Lyapunov exponent for Whitney's problem with random drive

4 September 2020 in 11:30

__Nikolai A. Stepanov__, Mikhail A. Skvortsov

## Inverted pendulum driven by a horizontal random force: statistics of the non-falling trajectory and supersymmetry

5 June 2020 in 11:30

__Nikolay Stepanov__, Mikhail Skvortsov

We derive the specific boundary conditions that correspond to the non-falling trajectory. Our results for the distribution function of the angle and its velocity at the non-falling trajectory are in perfect agreement with direct numerical simulations of the stochastic pendulum equation. In the limit of very strong noise, an exact analytical solution is obtained.

## Painleve equations from bilinear relations on Nekrasov partition functions

29 May 2020 in 11:30

## Coincidences between Calabi-Yau manifolds of Berglund-Hubsch type and Batyrev polytopes

22 May 2020 in 11:30

## Strange metal state near quantum superconductor-metal transition in thin films

1 May 2020 in 11:30

## Disorder-induced rippled phases and multicriticality in free-standing graphene

24 April 2020 in 11:30

## Integrable discrete equations on a triangular lattice and second-order evolution chains

10 April 2020 in 11:30 (short)

## Solitonnaya turbulentnost’ na poverkhnosti glubokoi vody

10 April 2020 in 11:30 (short)

__A.I. Dyachenko__, S.V. Dremov, D.I. Kachulin

## Extreme in amplitude bursts of signal intensity in optical communication lines

27 March 2020 in 11:30 (short)

__S.S. Vergeles__, S. Derevyanko, A. Redyuk, S. Turitsyn (on-line)

## O vliyanii konechnosti shaga pri sluchainom bluzhdanii na ploskosti na tochnost’ otsenki veroyatnosti pervogo peresecheniya

13 March 2020 in 11:30 (short)

[1] Olga Klimenkova, Anton Menshutin, Lev N. Shchur, "Influence of the random walk finite step on the first-passage probability", Physics and beyond (CSP2017), 9-12 Oct., 2017, Moscow

[2] Olga Klimenkova, Anton Yu. Menshutin, Lev N. Shchur, "Variable-step-length algorithms for a random walk: hitting probability and computation performance", Computer Phys. Commun., 241, 28-32 (2019)

## Spin-torque resonance due to diffusive dynamics at a surface of a topological insulator

6 March 2020 in 11:30

## Robust weak antilocalization due to spin-orbital entanglement in Dirac material Sr3SnO

6 March 2020 in 11:30 (short)

## Lattice models, deformed Virasoro algebra and reduction equation

28 February 2020 in 11:30 (short)

## Unrestricted electron bunching at the helical edge

28 February 2020 in 11:30

## Paramagnetic Meissner, vortex and 'onion' ground states in Fulde-Ferrell finite-size superconductor

14 February 2020 in 11:30

__D. Vodolazov__, V. Plastovetz

## Non-equilibrium effects in Josephson SNS junctions

14 February 2020 in 11:30

__V.V. Ryazanov__, T.E. Golikova (ISSP RAS)

## Coexistence of superconductivity and ferromagnetism, structure of magnetic flux in bulk single crystals of magnetic superconductors

14 February 2020 in 11:30

## Inhomogeneous states in disordered superconductors

14 February 2020 in 11:30

## Laser ablation of a multilayer target with layers of nanometer thickness

7 February 2020 in 11:30 (short)

__V.A. Khokhlov__, S.A. Ashitkov, N.A. Inogamov, P.S. Komarov, A.N. Parshikov, Yu.V. Petrov, S.A. Romashevskii, E.V. Struleva, V.V. Zhakhovsky

## Surface density of states in superconductors with inhomogeneous pairing constant

31 January 2020 in 11:30

__Ya.V. Fominov__, A.A. Mazanik, M.V. Razumovskiy

## Ferroelectric as topological material: Hopf fibrations, multilevel logic, negative capacitance and THz vibrations

31 January 2020 in 11:30

[1] A. M. Bratkovsky and A. P. Levanyuk, Phys. Rev. Lett. 84, 3177 (2000).

[2] V. A. Stephanovich, I. A. Luk'yanchuk, and M. G. Karkut, Phys. Rev. Lett., 94, 047601 (2005)

[3] I. Luk'yanchuk, L. Lahoche, and A. Sene, Phys. Rev. Lett., 102, 147601 (2009)

[4] S. K. Streiffer, J. A. Eastman, D. D. Fong et al., Phys. Rev. Lett. 89, 067601 (2002);

[5] S. O. Hruszkewycz, M. J. Highland, et al., Phys. Rev. Lett.110, 177601 (2013).

[6] Yadav, A. K., Nelson,et al.. Nature, 530 (7589), 198. (2016)

[7] P. Zubko, M. Hadjimichael, S. Fernandez-Pena, A. Sené, I. Luk’yanchuk, J.-M. Triscone
& J. Íñiguez, Nature, 534, 524 (2016)

[8] Khan, A. I., Chatterjee, K., Wang B. et al. Nature Materials 14, 182–186 (2015).

[9] I. Luk'yanchuk, A.Pakhomov, A.Sené, A. Sidorkin, V. Vinokur, arXiv:1410.3124

[10] G. Pascoli L. Lahoche, I. Luk'yanchuk, Integrated Ferroelectrics, 99, 60 (2008)

[11] L Baudry, A Sené, IA Luk'yanchuk, L Lahoche, and JF Scott, Phys. Rev. B 90, 024102 (2014)

[12] P.-W. Martelli, S. M. Mefire, I. Luk'yanchuk, Europhys. Lett. 111, 50001 (2015)

[13] Baudry, L., Lukyanchuk, I. & Vinokur, V. M. Sci. Rep. 7: 42196 (2017)

## Quantum phase slips in inhomogeneous Josephson junction chains

24 January 2020 in 11:30

## Dual description of $\eta$-deformed OSP sigma-models

17 January 2020 in 11:30

## Disorder and interaction in chiral chains: Majoranas versus complex fermions.

27 December 2019 in 11:30

## Effect of small dissipation on the NLS anomalous waves recurrence.

13 December 2019 in 11:30

## KP-2 solutions in the form of soliton sequences.

13 December 2019 in 11:30 (short)

## Efficient algorith for 2D Fourier transform. Implementation and comparison.

13 December 2019 in 11:30 (short)

## Landau theory for smectic-A–hexatic-B coexistence in smectic films

6 December 2019 in 11:30

__E. S. Pikina__, E. I. Kats, V. V. Lebedev

_{c}, of the order of a few hexatic correlation length. We established universal laws for the temperature width of the phase coexistence range in terms of the reduced variables. Our theory is in agreement with the existing experimental data.

## GLSM for Berglund-H ubsch type Calabi-Yau manifolds

6 December 2019 in 11:30 (short)

## Quantum toroidal algebras

6 December 2019 in 11:30 (short)

## Color randomization of fast two-parton states in quark-gluon plasma in heavy ion collisions

29 November 2019 in 11:30

## Radiative parton energy loss and baryon stopping in heavy ion collisions

29 November 2019 in 11:30 (short)

## Relaxation dynamics of nonequilibrium electrons in laser-excited solids

29 November 2019 in 11:30

[1] N. Brouwer and B. Rethfeld, Phys. Rev. B 95, 245139 (2017). [2] S.T. Weber and B. Rethfeld, Phys. Rev. B 99, 174314 (2019).

## Hamiltonian geometry of the associativity equations

22 November 2019 in 11:30 (short)

## Geometry of level lines of quasiperiodic functions and related problems

15 November 2019 in 11:30

## Master-symmetry of the KdV equation and step-like solutions

15 November 2019 in 11:30

## Zeeman spin-orbit coupling and magnetic quantum oscillations in antiferromagnetic conductors

8 November 2019 in 11:30

_{2}FeBr

_{4}shows no spin modulation of the Shubnikov-de Haas oscillations, contrary to the paramagnetic state of the same material. This is evidence of spin degeneracy of Landau levels -- a direct manifestation of the generic Zeeman spin-orbit coupling, predicted for antiferromagnetic conductors. Likewise, we find no spin modulation in the angle dependence of the slow Shubnikov-de Haas oscillations in the optimally electron-doped cuprate Nd

_{2−x}Ce

_{x}CuO

_{4}. This points to the presence of Néel order in this superconductor even at optimal doping.

## Competition of band anticrossing and charge-density wave

8 November 2019 in 11:30 (short)

_{3}as a function of temperature, wave vector, and electron-dispersion parameters. Comparison of the results obtained with the available experimental data on the transition temperature and on the wave vector of a charge-density wave in these compounds allowed us to make predictions about the evolution of electron-dispersion parameters with the variation of the atomic number of rare-earth elements (R). Our measurements of the Hall coefficient in RTe

_{3}compounds reveal a strong hysteresis between cooling and warming in the low temperature range where a second unidirectional charge density wave (CDW) occurs. We propose that this effect may result from the interplay between two instabilities: band crossing of the Te p

_{x}and p

_{y}orbitals at the Fermi level and CDW, which have a close energy gain and compete. Calculation of the electron susceptibility at the CDW wave vector with and without band anticrossing reconstruction of the electron spectrum yields a satisfactory estimation of the temperature range of the hysteresis in the Hall effect measurements.

[1] P.A. Vorobyev, P.D. Grigoriev, K.K. Kesharpu and V.V. Khovaylo, Materials 12, 2264 (2019).

[2] P.D. Grigoriev, A.A. Sinchenko, P.A. Vorobyev, A. Hadj-Azzem, P. Lejay, A. Bosak, P. Monceau, Phys. Rev. B 100, 081109(R) (2019).

## Toward defeating diffraction and randomness for laser beam propagation in turbulent atmosphere

8 November 2019 in 11:30 (short)

## Column coherent vortices in a rapidly rotating turbulent fluid: a minimal theory

1 November 2019 in 11:30

## Zeroes of S-matrix entries and random 'anti-lasing'

25 October 2019 in 15:00

Presentation will be based on papers arXiv:1908.06920 and J. Phys. A 50, 30LT01 (2017).

## GENERALIZED KA¨HLER GEOMETRY IN KAZAMA-SUZUKI COSET MODELS

11 October 2019 in 11:30

## Absolute Poisson's ratio and the bending rigidity exponent of a crystalline two-dimensional membrane

4 October 2019 in 11:30

## The effect of anomalous elasticity on the bubbles in van der Waals heterostructures

4 October 2019 in 11:30 (short)

## Vortex knots on three-dimensional lattices of nonlinear oscillators coupled by space-varying links

27 September 2019 in 11:30 (short)

## Contact Probability in Loop Extrusion Model of Interphase Chromosome

27 September 2019 in 11:30

## High order Fano-resonances and extreme effects in field localization

20 September 2019 in 11:30

^{4}–10

^{7}, which can be directly obtained from analytical calculations. These “super-resonances” provides magnetic nanojets with giant magnetic fields, which is attractive for many applications.

## String breaking, diquarks and medium

13 September 2019 in 11:30

## Acceptance rate is a thermodynamic function in local Monte Carlo algorithms

13 September 2019 in 11:30 (short)

## Parallel SPH modeling using dynamic domain decomposition and load balancing displacement of Voronoi subdomains

14 June 2019 in 11:30

__Maria S. Egorova__, Sergey A. Dyachkov, Anatoliy N. Parshikov, Vasily V. Zhakhovsky

Publications: arXiv:1805.05128v2 [physics.comp-ph] ; Computer Physics Communications, Volume 234, January 2019, Pages 112-125

## Termal’nyi effekt Kholla kak topologicheskii invaraint

7 June 2019 in 11:30

## Dissipative and Hall viscosity of a disordered 2D electron gas

7 June 2019 in 11:30

## Formation and decay of eddy currents generated by crossed surface waves

31 May 2019 in 11:30

__Parfenyev V.M.__, Filatov S.V., Brazhnikov M.Yu., Vergeles S.S., Levchenko A.A.

## Bernoulli Experiment under Restart

31 May 2019 in 11:30

## Aspects of quarkonium propagation in a thermal medium as seen by string models

17 May 2019 in 11:30 (short)

## Some exact solutions of the Volterra lattice

19 April 2019 in 11:30

## CDD factors in integrable models perturbed by the current-current operators

29 March 2019 in 11:30

__M. Lashkevich__, Y. Pugai

## Studies of the Liquid Crystal Surface Anchoring Potential using Grandjean-Cano Wedge

22 March 2019 in 11:30 (short)

(The presentation is based at the following papers: V.A. Belyakov, D.V. Shmeliova, S.V. Semenov, On the way of reconstruction of the liquid crystal surface anchoring potential Journal of Molecular Liquids 267, 151–157 (2018), С. В. Семенов, В. А. Беляков, ПОВЕРХНОСТНОЕ СЦЕПЛЕНИЕ И РАСПРЕДЕЛЕНИЕ ДИРЕКТОРА В КЛИНЕ ГРАНЖАНА–КАНО, ЖЭТФ, 2018, том 153, вып. 5, стр. 838–844 ( 2018), V.A.Belyakov , D.V.Shmeliova, and S.V. Semenov, Studies of the Liquid Crystal Surface Anchoring Potential using Grandjean-Cano Wedge, LIQUID CRYSTALS (Published online: https://doi.org/10.1080/02678292.2018.1546412).

## Boundary layer of elastic turbulence

15 March 2019 in 11:30 (short)

__S. Belan__, A. Chernykh, V. Lebedev

## Physical processes during laser ablation into a liquid and during laser shock-wave pinning

15 March 2019 in 11:30 (short)

__V.A. Khokhlov__, N.A. Inogamov, V.V. Zhakhovsky,Yu.V. Petrov, S.I.Anisomov

## Laser technologies: science and applications

15 February 2019 in 11:30

## Shock generation by laser and impact initiation of burning

15 February 2019 in 11:30

[1] S.I. Ashitkov, V.V. Zhakhovsky, N.A. Inogamov, P.S. Komarov, M.B.Agranat, and G.I.Kanel, The behavior of iron under ultrafast shock loading driven by a femtosecond laser, AIP Conf. Proc. 1793, 100035 (2017) [2] V.V. Zhakhovsky, K.P. Migdal, N.A. Inogamov, S.I. Anisimov, MD simulation of steady shock-wave fronts with phase transition in single-crystal iron, AIP Conf. Proc. 1793, 070003 (2017) [3] D. Ilnitsky, N. Inogamov, V. Zhakhovsky, Response of explosive HMX to low-velocity impact: Modeling by the crystal plasticity finite element method, J. Phys.: Conf. Ser., 941, 012052 (2018)

## Three-dimensional numerical simulation of long-lived quantum vortex knots and links in a trapped Bose-Einstein condensate

8 February 2019 in 11:30 (short)

## CALCULATION OF THE DISCRETE SPECTRUM OF SOME TWO-DIMENSIONAL SCHR¨ODINGER EQUATIONS WITH A MAGNETIC FIELD

8 February 2019 in 11:30

__V.G. Marikhin__, A.V. Marikhina

## Hermite quasi-polynomials

8 February 2019 in 11:30 (short)

## On complex angular diagrams of magnetic conductivity in strong magnetic fields

1 February 2019 in 11:30 (short)

## Collinear photon emission from the quark-gluon plasma in heavy ion collisions

25 January 2019 in 11:30

## Recent applications of the light-cone path integral formalism to the radiative effects in $AA$-collisions due to the induced gluon/photon emission in the QCD matter

18 January 2019 in 11:30

## Inelastic neutron scattering as a confirmation of a new type of gapped surface excitations in liquid helium

18 January 2019 in 11:30 (short)

__P.D. Grigoriev__, A.D. Grigoriev, A.M. Dyugaev

## Linear magnetoresistance in the charge density wave state of quasi-two-dimensional rare-earth tritellurides

18 January 2019 in 11:30 (short)

[1] A.V. Frolov, A.P. Orlov, P.D. Grigoriev, V.N. Zverev, A.A. Sinchenko, P. Monceau, Magnetoresistance of a Two-Dimensional TbTe3 Conductor in the Sliding Charge-Density Wave Regime, JETP Lett., 107(8), 488-492 (2018)

## Dual description of integrable sigma-models

11 January 2019 in 11:30

The report is based joint work with Fateev and Spodyneiko.

## Deautonomization of cluster integrable systems

11 January 2019 in 11:30

## On the initial conditions in heavy ion collisions at RHIC and LHC energies

21 December 2018 in 11:30 (short)

## Quantum corrections to conductivity of disordered electrons due to inelastic scattering off magnetic impurities

21 December 2018 in 11:30

The talk is based on I. S. Burmistrov and E. V. Repin, Phys. Rev. B 98, 045414 (2018)

## Magnetism of Bi2Se3 thin films with Eu-rich flat inclusions

21 December 2018 in 11:30 (short)

Report is based on the paper: L.N. Oveshnikov, Ya.I. Rodionov, K.I. Kugel, I.A. Karateev, A.L. Vasiliev, Yu.G. Selivanov, E.G. Chizhevskii, I.S. Burmistrov and B.A. Aronzon, "Magnetism of Bi2Se3 Thin Films with Eu-rich flat inclusions", J. Phys .: Condens. Matter 30, 445801 (2018)

## Volterra chain and Catalan numbers

21 December 2018 in 11:30 (short)

## Two-sphere partition functions and Kahler potentials on CY moduli spaces

14 December 2018 in 11:30 (short)

__A. Belavin,__K. Aleshkin, A. Litvinov

Aleshkin K., Belavin A., Litvinov A.,

*“Two-sphere partition functions and Kähler potentials on CY moduli spaces”*, Письма в ЖЭТФ, 108(10), 725 (2018)

## Probing spin susceptibility of a correlated two-dimensional electron system by transport and magnetization measurements

14 December 2018 in 11:30 (short)

The short talk is based on the work of V. M. Pudalov, A. Yu. Kuntsevich, M.E. Gershenson, I.S. Burmistrov, and M. Reznikov, Phys. Rev. B 98, 155109 (2018).

## A thermally driven spin-transfer-torque system far from equilibrium: enhancement of the thermoelectric current via pumping current

14 December 2018 in 11:30

The talk is based on T. Ludwig, I.S. Burmistrov, Y. Gefen, A. Shnirman, "A thermally driven spin-transfer-torque system far from equilibrium: enhancement of the thermoelectric current via pumping current", arxiv:1808.01192

## Mesoscopic supercurrent fluctuations in diffusive magnetic Josephson junctions

23 November 2018 in 11:30

## Statistics of eigenstates near the localization transition on random regular graphs

23 November 2018 in 11:30

## Two-temperature statistics of free energies in (1+1) directed polymers

2 November 2018 in 11:30

Europhysics Letters, 116, 40004 (2016); arXiv:1703.04305

## Non-Born effects in scattering of electrons in clean quasi-one-dimensional conductors

26 October 2018 in 11:30

__N. S. Peshcherenko__

## Electron-phonon cooling power in Anderson insulators

26 October 2018 in 11:30

## The free field representation for the GL(1|1) WZW model revisited

12 October 2018 in 11:30

## Quantum electrodynamics of heavy ions and atoms

5 October 2018 in 11:30

## Irreversible Markov chains: From the TASEP to all-atom Coulomb computations

28 September 2018 in 15:00

References:

S. C. Kapfer, W. Krauth, Physical Review Letters 119, 240603 (2017)

Z. Lei, W. Krauth, arXiv:1806.06786 (2018)

M. F. Faulkner, L. Qin, A. C. Maggs, W. Krauth, arXiv:1804.05795 (2018)

## Superconductivity that breaks time-reversal symmetry and its experimental manifestations

28 September 2018 in 11:30

[1] X. Gong, M. Kargarian, A. Stern, D. Yue, H. Zhou, X. Jin, V. M. Galitski, V. M. Yakovenko, and J. Xia, Science Advances 3, e1602579 (2017), arXiv:1609.08538

[2] P. M. R. Brydon, D. S. L. Abergel, D. F. Agterberg, and V. M. Yakovenko, arXiv:1802.02280

## Three-dimensional stability of leapfrogging quantum vortex rings

21 September 2018 in 11:30 (short)

## About application for FRBF-a grant

14 September 2018 in 11:30 (short)

## Synchronization of Conservative Parallel Discrete Event Simulations on a Small-World Network

7 September 2018 in 11:30

__Lev N. Shchur__и Liliia Ziganurova

L. Ziganurova, L.N. Shchur, Synchronization of Conservative Parallel Discrete Event Simulations on a Small-World Network, Phys. Rev. E 98, 022218 (2018); arXiv:1807.04463

## Quantum Many-Body Physics of Qubits

22 June 2018 in 11:30

## Dynamics of Poles in 2D Hydrodynamics with Free Surface: New Constants of Motion

8 June 2018 in 11:30

__P. M. Lushnikov__and V. E. Zakharov

A.I. Dyachenko, S.A. Dyachenko, P.M. Lushnikov, V.E. Zakharov, Dynamics of Poles in 2D Hydrodynamics with Free Surface: New Constants of Motion, Journal of Fluid Mechanics, submitted (2018); arXiv:1809.09584.

## World population and climate variations

11 May 2018 in 11:30

## Eukaryotic cell polarity and protein sorting

27 April 2018 in 11:30

## Dielectric response of Anderson and pseudogapped insulators

27 April 2018 in 11:30

__M.V. Feigel'man__, D.A. Ivanov, E. Cuevas

M.V. Feigel’man, D.A. Ivanov, E. Cuevas, Dielectric response of Anderson and pseudogapped insulators, New J. Phys. 20, 053045 (2018); arXiv:1711.05972

## Some Aspects of Diquarks as seen by String Theory

20 April 2018 in 11:30

## Magnetic oscillations of in-plane conductivity in quasi-two-dimensional metals

13 April 2018 in 11:30

## Dynamic phase transition in rare events statistics of 1D KPZ problem

30 March 2018 in 11:30

## Chiral magnetic crystals

23 March 2018 in 11:30

_{2}OSeO

_{3}twists the magnetization on long length scales resulting in spatially periodic magnetic textures — magnetic crystals. There exist especially magnetic crystals with a one- and two-dimensional periodicity corresponding to the magnetic helix and the topologically non-trivial skyrmion lattice, respectively. In this talk, we provide an overview of their properties. In particular, we discuss the crystallization process of these magnetic crystals that is characterized by strongly correlated chiral paramagnons that drive the transition first-order [1,2]. This fluctuation-induced first-order transition is well described by a theory put forward by Brazovskii. We will introduce the magnon band structure and their non-reciprocal properties in the presence of a magnetic field [3,4]. For the skyrmion lattice, this band structure is topological and characterized by finite Chern numbers that can be attributed to the formation of magnon Landau levels due to an emergent orbital magnetic field [5,6,7]. Finally, we will discuss domain walls of helimagnets that share similarities with grain boundaries consisting of disclination and dislocation defects of the helimagnetic order [8]. References: [1] M. Janoschek et al. Phys. Rev. B 87, 134407 (2013). [2] A. Bauer, M. Garst and C. Pfleiderer, Phys. Rev. Lett. 110, 177207 (2013). [3] M. Kugler et al. Phys. Rev. Lett. 115, 097203 (2015) [4] T. Weber et al. arXiv:1708.02098 [5] C. Schütte and M. Garst, Phys. Rev. B 90, 094423 (2014). [6] T. Schwarze, J. Waizner, M. Garst, A. Bauer, I. Stasinopoulos, H. Berger, C. Pfleiderer, and D. Grundler, Nat. Mater. 14, 478 (2015). [7] M. Garst J. Waizner, and D. Grundler, J. Phys. D: Appl. Phys. 50, 293002 (2017) [8] P. Schoenherr et al. Nat. Phys. in press, arXiv:1704.06288

## Manufacturing of holes in supported films: transition from beam dependent to shock dependent radius of hole as absorbed energy increases

9 February 2018 in 11:30

__N. Inogamov__, V. Shepelev, P. Danilov, A. Kuchmizhak

Illustrative materials are posted on youtube:

Video 1

This movie shows the map of evolution of density field. The gold film is the narrow horizontal strip, "vacuum" is above, supporting substrate is below the strip

Video 2

This is the pressure map. We see two shocks: one above and second below the film. Don't pay attention to the shock above, i.e. to shock in "vacuum", because in our simulation we cannot use real vacuum rho=0, p=0. Therefore we use low density media in place of vacuum. Pay attention to the left and right wings of crescent type shock propagating down. These wings pass along the film. Shock pressure in the wings accelerate the film up thus separating it from the silica substrate.

## Differential Poisson's ratio of a crystalline two-dimensional membrane

26 January 2018 in 11:30

## Mesoscopic Stoner instability: Suppression by tunneling to a reservoir

19 January 2018 in 11:30

## Exact solutions for nonlinear development of Kelvin-Helmholtz instability for counterflow of superfluid and normal components of Helium II

22 December 2017 in 11:30

__Pavel M. Lushnikov__and Nikolay M. Zubarev

## Helical edge transport in the presence of anisotropic magnetic impurity

17 November 2017 in 11:30

__P. D. Kurilovich__,

__V. D. Kurilovich__, I. S. Burmistrov, M. Goldstein

## Explicit computation of the Calabi-Yau moduli space geometry

10 November 2017 in 11:30

__A. Belavin__

## Cooper pair splitting in ballistic ferromagnetic SQUIDs

27 October 2017 in 11:30

__P.L. Stroganov__, Ya.V. Fominov

## Out-of-equilibrium statistical physics of optimization and learning

13 October 2017 in 11:30

## Paraconductivity of pseudogapped superconductors

6 October 2017 in 11:30

__Igor Poboiko__and Mikhail Feigel'man

_{c}. We show that, within Gaussian approximation over Cooper-pair fluctuations, paraconductivity is just twice larger that the classical AL result at the same ε = (T-T

_{c})/T

_{c}. Upon decreasing ε, Gaussian approximation is violated due to local fluctuations of pairing fields that become relevant at ε < ε

_{1}« 1. Characteristic scale ε

_{1}is much larger than the width ε

_{2}of the thermodynamical critical region, that is determined via the Ginzburg criterion, ε

_{2}≈ ε

_{1}

^{d}. We argue that in the intermediate region ε

_{2}< ε < ε

_{1}paraconductivity follows the same AL power law, albeit with another (yet unknown) numerical prefactor. At further decrease of the temperature, all kinds of fluctuational corrections become strong at ε < ε

_{2}; in particular, conductivity occurs to be strongly inhomogenuous in real space.

## On Heavy Quarks in the Quark-Gluon Plasma and String Theory

15 September 2017 in 11:30

## New Kaluza-Klein Instantons and Decay of AdS Vacua

8 September 2017 in 11:30

## Transport in a disordered ν=2/3 fractional quantum Hall junction

23 June 2017 in 11:30

## Domains, switching and negative capacitance in nano-scale ferroelectrics

19 May 2017 in 11:30

*Polarization domains*that alternate the surface charge distribution, first proposed by Landau (1935) in contents of ferromagnetism can be formed in ferroelectric thin films as an effective mechanism to confine the depolarization field to the near-surface layer and diminish the depolarization energy. Very recently we have demonstrated that the few-nanometer thick ferroelectric/paraelectric superlattices with periodic domain structures exhibit the striking feature. The

*effective capacitance of ferroelectric layers is negative*. This effect is explained by the opposite orientation of the depolarizing field with respect to the field-induced averaged polarization. Moreover, in sub-THz region the real part of the dielectric constant becomes positive, passing through zero at frequency ~0.3-3THz, inducing the resonance effect, suitable for the design of the ultra-small low-energy THz chips.

*Multi-vortex*and

*skyrmion states*are formed inside ferroelectric cylindrical nano-dots and nanorods to reduce the depolarization energy. We study the stability of such states and calculate the phase diagram of the system. We demonstrate that the topological class of the most stable topological excitations can be driven by the geometrical and electrical parameters of the system, external field, and temperature. We target the multi-domain and topological excitations in FE nanodots as a platform for multivalued logic units, for neuromorphic computing.

## Some new results on Belief Propagation, Loop Calculus, Sampling and Gauge Transformations

14 April 2017 in 11:30

## Wave breaking and soliton turbulence of water waves

24 March 2017 in 11:30

__A. Dyachenko__and D. Kachulin

## Magnetic disorder in superconductors: Enhancement by mesoscopic fluctuations

17 March 2017 in 11:30

__I.S. Burmistrov__, M.A. Skvortsov

_{c}in a dirty superconducting film with rare classical magnetic impurities of an arbitrary strength described by the Poissonian statistics. We take into account that the potential disorder is a source for mesoscopic fluctuations of the local DOS, and, consequently, for the effective strength of magnetic impurities. We find that these mesoscopic fluctuations result in a non-zero DOS for all energies in the region of the phase diagram where without this effect the DOS is zero within the standard mean-field theory. This mechanism can be more efficient in filling the mean-field superconducting gap than rare fluctuations of the potential disorder (instantons). Depending on the magnetic impurity strength, the suppression of T

_{c}by spin-flip scattering can be faster or slower than in the standard mean-field theory.

## Entanglement entropy and particle number cumulants of disordered fermions

10 February 2017 in 11:30

## Vzaimovliyanie kulonovskoi blokady, ferroelektrichestva i elektronnogo transporta v mezoskopicheskikh nanostrukturakh

23 December 2016 in 11:30

## Skyrmion Dynamics in Ferromagnets and Antiferromagnets

25 November 2016 in 11:30

## On Self-Dual Yang-Mills Theory

18 November 2016 in 11:30

## Two-instanton approximation to the Coulomb blockade problem

14 October 2016 in 11:30

## Weakly Nonlinear Nonlocal Equation for Envelope of Water Waves

14 October 2016 in 11:30

## Analogous black-holes in Bose-Einstein condensates: how to create them and how to detect the associated (sonic) Hawking radiation ?

7 October 2016 in 11:30

I shall first present realistic realizations of a sonic event horizon in a 1D Bose-Einstein condensate. In a second stage I will discuss possible (quantum and classical) signatures of the sonic analogous of Hawking radiation in these systems. I will also address the recent experimental results of Steinhauer [Nature Physics (2016)]

## Mesoscopic fluctuations of the single-particle Green's function at Anderson transitions with Coulomb interaction

30 September 2016 in 11:30

## Physics at the Edge: A New Paradigm for Shot Noise

16 September 2016 in 11:30

## Dynamic correlations in 1D superfluids: the particle-wave duality

9 September 2016 in 11:30

## Flat Coordinates on Frobenius Manifolds in the case of the irrelevant deformations

2 September 2016 in 11:30

_{4}.

We verify this conjecture by comparing expressions for the flat coordinates obtained from the conjecture with one found by direct computation. The considered case of is of particular interest since together with the relevant and marginal deformations it has one irrelevant deformation.

## Closed equations for the jump along branch cut of Stokes wave

17 June 2016 in 11:30

## Josephson-effect in 3DTI and 2DTI based on HgCdTe heterostructures

22 April 2016 in 11:30

Work done by: J.Wiedenmann, E.Bocquillon, R. Deacon, T.M.Klapwijk and various co-authors.

The research is supported by a 2014 Alexander von Humboldt prize.

## Low-energy field theory of disordered Weyl metals.

8 April 2016 in 11:30

References: Dmitry Bagrets and Alexander Altland, PRL 114, 257201 (2015); PRB 93, 075113 (2016)

## Fazovye perekhody v geksaticheskikh zhidkikh kristallakh

11 March 2016 in 11:30

## Dynamical phase transitions and statistics of excitations

4 March 2016 in 15:00

## Fermi-Pasta-Ulam recurrence and modulation instability

12 February 2016 in 11:30

## Metal ﬁlm on substrate: Dynamics under action of ultra-short laser pulse

12 February 2016 in 11:30

__V A Khokhlov__, N A Inogamov, S I Anisimov, V V Zhakhovsky, K V Khishchenko

## Collective conductivity, criticality and reconstruction in systems with an infinite permittivity

29 January 2016 in 11:30

The presented results are based on collaborations with P. Monceau and F. Nad in experiment and with N. Kirova and A. Larkin in theory.

## Anisotropic characteristics of the Kraichnan direct cascade in two-dimensional hydrodynamic turbulence

15 January 2016 in 11:30

__E.A. Kuznetsov__, E.V. Sereshchenko

^{-4}, and simultaneously a strong dependence on angles. However, angle average provides with a high accuracy the Kraichnan turbulence spectrum Ek = CKη

^{2/3}k

^{−3}, where η is enstrophy ﬂux and the Kraichnan constant C

_{K}≈ 1.3, in correspondence with the previous simulations. Familiar situation takes place for third-order velocity structure function which, as for the isotropic turbulence, gives the same scaling with respect to separation length R and η = C

_{3}ηR

^{3}, but the mean over angles and time C

_{3}diﬀers from its isotropic value.

## Rasshcheplenie kuperovskikh par v ferromagnitnykh skvidakh

25 December 2015 in 13:00

## Anomalous Hall effect in weakly disordered ferromagnets

18 December 2015 in 11:30

## Dynamical phase transitions in electronic systems induced by ultra-fast optical pumping.

4 December 2015 in 11:30

## Spatial Equation for Water Waves

20 November 2015 in 11:30

__A.I. Dyachenko__and V.E. Zakharov

## Charge relaxation resistance in the cotunneling regime of multi-channel Coulomb blockade: Violation of Korringa-Shiba relation

13 November 2015 in 11:30

## Exactly solvable models of String Theory and Dubrovin-Saito Flat structures

30 October 2015 in 11:30

__A. Belavin__, Ya. Kononov

## Blossom Belief Propagation: Exact Algorithm for Minimum Weight Perfect Matching

16 October 2015 in 11:30

## Development of high vorticity structures in incompressible 3D Euler equations

9 October 2015 in 15:00

__D.S. Agafontsev__, A.A. Maylybaev, E.A. Kuznetsov

## Thermal transport in disordered one-dimensional spin chains

9 October 2015 in 11:30

__Igor Poboiko__, Mikhail Feigel'man

^{z}

_{i}S

^{z}

_{i}by means of Jordan-Wigner transformation to spinless Luttinger liquid with disorder and bosonization technique. First we investigate phase diagram of the system in terms of dimensionless disorder γ=⟨h

^{2}⟩/J

^{2}≪1 and anisotropy parameter Δ=J

_{z}/J

_{xy}and find the range of these parameters where disorder is irrelevant in the infrared limit and spin-spin correlations are described by power laws. Then we use the diagram technique in terms of plasmon excitations to study low-temperature behavior of heat conductivity κ and spin conductivity σ in this power-law phase. The obtained Lorentz number L≡κ/σT differs from the value derived earlier by means of memory function method. We argue also that in the studied region inelastic scattering is strong enough to suppress quantum interference in the low-temperature limit.

## Folding of vorticity field as a route to the Kolmogorov spectrum

2 October 2015 in 11:30

__E.A. Kuznetsov__, D.S. Agafontsev and A.A. Mailybaev

## Kvantovyi raspad sverkhtokovogo sostoyaniya i sobstvennaya emkost’ Dzhozefsonovskikh perekhodov za ramkami tunnel’nogo priblizheniya

18 September 2015 in 11:30

## Observation of half-quantum vortices in superfluid 3He

18 September 2015 in 11:30

__G.E. Volovik__, A.N. Yudin, V.V. Zavjalov

If HQVs are formed in rotation and then the field is tilted with respect to the strands, one expects that the spin-orbit interaction would induce the formation of the topological solitons between the neighboring HQVs providing the peculiar satellite peak in the NMR spectrum. We used this theoretical prediction to stabilize and identify the HQVs in the Helsinki rotated cryostat. For that we cool down a sample of nafen through transition temperature to the polar phase in rotation up to 2.75 rad/s without magnetic field. Then the field is switched on, and in the tilted field we observe a satellite peak in the NMR spectrum. The dependence of the satellite on the rotation velocity, temperature and the field orientation is in agreement with the predictions. If cool-down occurs with the field applied in the transverse direction, no satellite eak is observed. This demonstrates that the single-quantum vortices are formed instead, which have no NMR signatures. in such arrangement these vortices win over the HQVs as expected.

## On mathematical and computational problems of genomics: from sequencing to population structure

11 September 2015 in 15:00

## Branch cuts of Stokes wave: numerical and analytical results.

5 June 2015 in 11:30

## Topology of Dirac lines and nexus in graphite

8 May 2015 in 11:30

__G.E. Volovik__

## Giant mesoscopic fluctuations of the elastic cotunneling thermopower of a single-electron transistor

24 April 2015 in 11:30

__Denis M. Basko__, F. W. J. Hekking (University Grenoble Alpes, CNRS, LPMMC)

[Phys. Rev. B 91, 085310 (2015)]

## Superconductor-insulator transitions: Phase diagram and magnetoresistance

27 March 2015 in 11:30

__I.S. Burmistrov__, I.V. Gornyi, A.D. Mirlin

_{c}, the temperature dependence of the resistivity, the phase diagram, as well as the magnetoresistance. The analysis is based on the renormalization group (RG) for a nonlinear sigma model. Derived RG equations are valid to the lowest order in disorder but for arbitrary electron-electron interaction strength in particle-hole and Cooper channels. Systems with preserved and broken spin-rotational symmetry are considered, both with short-range and with long-range (Coulomb) interaction. In the cases of short-range interaction, we identify parameter regions where the superconductivity is enhanced by localization effects. Our RG analysis indicates that the superconductor-insulator transition is controlled by a fixed point with a resistivity R

_{c}of the order of the quantum resistance R

_{q}= h/4e

^{2}. When a transverse magnetic field is applied, we find a strong nonmonotonous magnetoresistance for temperatures below T

_{c}.

## Localization-delocalization transition in the distribution of inertial particles in wall-bounded random flow

13 February 2015 in 11:30

__S. Belan__, A. Chernykh and G. Falkovich

## Landau theory for helical nematic phases

6 February 2015 in 11:30

__E.I. Kats__and V.V. Lebedev

## Effects of the quark-gluon plasma in pp, pA and AA-collisions

30 January 2015 in 11:30

## Wilson fermion doubling phenomenon on irregular lattice: the similarity and difference with the case of regular lattice

16 January 2015 in 11:30

## Effective actions, nonrelativistic diffeomorphism invariance and some applications

16 January 2015 in 11:30

## Obrashchaya khaos vspyat’

5 December 2014 in 11:30

## Density of states in a two-dimensional chiral metal with vacancies

14 November 2014 in 11:30

^{-1}|lnE|

^{-3/2}and the correlation length L

_{c}~ |lnE| in the limit E→0. When the average density of vacancies is different in the two sublattices, a finite concentration of zero modes emerges and a gap in the quasiclassical density of states opens around zero energy. Interference effects smear this gap resulting in exponentially small tails at low energies.

## Struktura i elektronnyi spektr allotropov fosfora

31 October 2014 in 11:30

## Torzhestvennoe zasedanie, posvyashchennoe 50-letiyu ITF im. L.D. Landau RAN

17 October 2014 in 11:30

## Ambegaokar-Eckern-Schön theory for a collective spin: geometric Langevin noise

10 October 2014 in 11:30

__Alexander Shnirman (KIT)__, Yuval Gefen, Arijit Saha, Igor S. Burmistrov, Mikhail N. Kiselev, Alexander Altland

## Minimalnaya teoriya strun i ee skrytye algebraicheskie struktury

3 October 2014 in 11:30

## Quantum quenches in the many-body localized phase

26 September 2014 in 11:30

__Maksym Serbyn__, Z. Papic, Dmitry Abanin

## Coulomb blockade for tunneling through a “long island”

5 September 2014 in 11:30

__A.S. Ioselevich__

## KINETICS IN DISPERSIVE LUTTINGER LIQUIDS: BOSE-FERMI DUALITY

20 June 2014 in 11:30

## Dynamics of Complex Singularities in Water Waves.

20 June 2014 in 11:30

## Quantum theory of a spaser-based nanolaser

23 May 2014 in 11:30

__Vladimir M. Parfenyev__and Sergey S. Vergeles

## FROZEN NANOSTRUCTURES PRODUCED BY ULTRASHORT LASER PULSE

21 February 2014 in 11:30

__Khokhlov V.A.__, Inogamov N.A., Anisimov S.I., Zhakhovsky V.V., Emirov Yu.N., Ashitkov S.I., Komarov P.S., Agranat M.B.

## Vibrational Modes in Free Standing Graphene Films

14 February 2014 in 11:30

__E.I.Kats__and V.V. Lebedev

## Novel phases in topological superconducting quantum dots

7 February 2014 in 11:30

## Static and dynamic properties of polarization domains in ferroelectric nanostructures

31 January 2014 in 11:30

The first part of my talk will concern the possible application of the domain structures in emerging technologies of Terahertz-detecting devices. We have studied the dynamical permittivity in ferroelectric nanometricaly-thin films with periodic domain structure, sandwiched between two paraelectric layers. The resulting frequency-dependent permittivity demonstrates collective resonance mode in sub-Terahertz frequency region and Debye-like relaxation behavior at low frequencies.

In the second part of my talk I will consider the study of domain-shape instabilities, recently observed in the ferroelectric polymer PVDF-TrFE films having the lower orthorhombic crystallographic symmetry and demonstrating the hexagonal domain faceting. This effect can arise from purely electrostatic depolarizing forces. We show that in contrast to magnetic bubble shape domains where such type of deformation instability has a predominantly elliptical character, the emergence of more symmetrical circular harmonics is favored in ferroelectrics with high dielectric constant.

## Pressure-balanced stationary mirror structures in an anisotropic plasma

24 January 2014 in 11:30

__E.A. Kuznetsov__, T. Passot, V.P. Ruban, P.L. Sulem

## Seeing quantum mechanics by the naked eye in solid state condensates

22 November 2013 in 11:30

## Long-range quantum Ising spin glasses at T=0: gapless collective excitations and universality

15 November 2013 in 11:30

## Spontaneous breaking of isotropy observed in the electronic transport of rare-earth tritellurides

18 October 2013 in 11:30

## Local conservation laws, structure of states, and entanglement in the many-body localized phase

20 September 2013 in 11:30

__Maksym Serbyn__, Z. Papic, Dmitry A. Abanin

In the second part of the talk, we build generic framework which allows to understand the dynamics in the MBL phase. We construct a complete set of local integrals of motion that characterize MBL phase. Our approach relies on the assumption that local perturbations act locally on the eigenstates in the MBL phase, which is supported with numerical simulations of the random-field XXZ spin chain. We describe the structure of the eigenstates in the MBL phase and discuss the implications of local conservation laws for the non-equilibrium quantum dynamics in the MBL phase. In particular, the logarithmic entanglement growth is a universal phenomenon characteristic of the many-body localized phase in any number of spatial dimensions, and reveals a broad hierarchy of dephasing time scales present in such a phase.

## Approximate analytical descriptions of the stationary single-vortex Marangoni convection inside an evaporating sessile droplet of capillary size

6 September 2013 in 11:30

## Zashchita diplomnykh rabot

7 June 2013 in 11:30

## Fast Melting and Crystallization, Powerful Elastic Shocks, and Surface Nano-structuring Caused by Ultrashort Laser Pulses

12 April 2013 in 11:30

__N. Inogamov__, V. Zhakhovsky, Yu. Petrov, V. Khokhlov, S. Ashitkov, K. Kishchenko, K. Migdal, D. Ilnitsky, M. Agranat, S. Anisimov, V. Fortov

^{2}results in formation of a nonequilibrium two-temperature state lasting several picoseconds. Due to supersonic propagation of heat into the depth of metal the surface layer of ~100 nm thick is heated, where material gains the internal energy of ~1 eV/atom and melts quickly. Expansion of the heated layer leads to strong tensile stress applying to liquid, which triggers nucleation of bubbles followed by foaming of the melt. As our simulations indicate, the foam-like material at target surface may inflate to a micrometer-sized layer without significant decay of the inter-bubble walls because of the high surface tension of liquid metal. Next, the foam begins to collapse, which produces the complex morphology with configurations like bubbles, jets, mushrooms and other liquid nano-structures. In the meantime the surface temperature drops below the melting point and fast recrystallization initiates freezing of the surface nano-structures. Such nano-structures, including frozen bubbles beneath the recrystallized metal surface, were found in our experiments and simulations.

## Jet quenching in AA-collisions from RHIC to LHC

22 February 2013 in 11:30

## Quantum synchronization

7 December 2012 in 11:30

## NSR conformal blocks with Ramond fields from AGT correspondence

16 November 2012 in 11:30

__B. Mukhametzhanov__

^{4}/Z

_{2}and two-dimensional CFT model with the algebra H \plus sl(2)

_{2}\plus NSR to obtain the explicit expressions for 4-point NSR conformal blocks including Ramond fields in terms of Nekrasov partition functions and correlation functions of sl(2)

_{2}WZW model.

## On the scaling of logarithmic correctrons

26 October 2012 in 11:30

__L. Shchur__, B. Berche (University Henri Poincare, France) and P. Butera (Univesity Milano-Bicocca, Italy)

## Higgs bosons, t-quarks and Nambu sum rule

28 September 2012 in 11:30

__G. Volovik__and M. Zubkov

_{H1}= 125 GeV is not the only Higgs boson. We point out the possibility that the Higgs bosons are composite and that there exists, at least, one more composite Higgs excitation, whose mass M

_{H2}~ 325 GeV satisfies the Nambu sum rule M

_{H1}

^{2}+ M

_{H2}

^{2}= 4 M

_{T}

^{2}, where M

_{T}~ 174 GeV is the t-quark mass. CDF collaboration at Fermi Lab and CMS collaboration at LHC reported a small excess in this region.

In addition, there may appear two charged Higgs particles with masses around 245 GeV, which together also obey the Nambu rule. A certain excess of events in this region has been observed by ATLAS collaboration at LHC. Originally this sum rule was suggested by Nambu in 1985 for the Helium 3 superfluid.

(based on our paper arXiv:1209.0204)

## Rayleigh-Taylor turbulent mixing

7 September 2012 in 11:30

It was commonly accepted that Rayleigh-Taylor mixing is a process similar to turbulence in a single fluid or plasma. With this idea in mind, experiments designed experiments at high power laser systems Omega (LLE, Rochester, USA) and NIC (LLNL, Livermore, USA) to reproduce and study astrophysical phenomena, such as supernova explosion, in laboratory plasmas under extreme conditions of high energy density. A laser beam with the giant power of trillions of watts deposited energy onto a tiny target within tens of billionth of a second – the time sufficient for the light to pass only a few meters. The target materials turned into hot and dense plasmas and accelerated at the rate of ten billions of the Earth gravity. The expectation was for a ‘super-turbulence’ to develop yet the plasmas flow exhibited significant degree of order.

We developed and applied the new theoretical concept, the invariance of the rate of momentum loss, to describe the transports of mass, momentum and energy in RT turbulent mixing and to capture its anisotropic, inhomogeneous and statistically unsteady character. It was showed that invariant,scaling and spectral properties of unsteady turbulent mixing differ substantially from those of isotropic and homogeneous turbulence. Rayleigh-Taylor mixing indeed exhibits more order, stronger correlations, weaker fluctuations, and steeper statistical spectra when compared to canonical turbulence. While explaining the experimental observations, these theoretical results have also indicated new approaches for mitigation and control of turbulent mixing processes in inertial confinement fusion, for rational design of experiments for high energy density laboratory astrophysics, and for advancement of numerical simulations

## Co-tunneling current through the two-level quantum dot coupled to magnetic leads: A role of exchange interaction

22 June 2012 in 11:30

## Beyond log-log scaling of critical collapse of Nonlinear Schrodinger equation

22 June 2012 in 11:30

_{0}-t)

^{1/2}scaling law with the logarithmic modifications of log-log type. We show that the leading order log-log modification occurs for nonrealistic exponentially large amplitudes of light. Instead we derived a new equation for adiabatically slow parameter which determines the system dynamics. Based on that equation we develop a perturbation theory for scaling modifications beyond leading log-log order and perform detailed comparison with simulations.

## Weakly coherent regime of interlayer magnetoresistance

8 June 2012 in 11:30

_{2}KHg(SCN)

_{4}», arXiv:1205.0041.

## Fluctuation conductivity in disordered superconducting films

1 June 2012 in 11:30

__Konstantin S. Tikhonov__, Georg Schwiete, and Alexander M. Finkel'stein

## Fluctuoscopy of Superconductors

25 May 2012 in 11:30

__A.A. Varlamov (Viale del Politecnico)__, Andreas Glatz, V.M. Vinokur (MSD ANL)

_{c2}(T). Ten diagrams of the first order corrections are grouped in four contributions of the different physical nature. We discuss their hierarchy in different domains of the phase diagram and identify that one responsible for quantum phase transition close to H

_{c2}(0). Focusing on the vicinity of the quantum phase transition near zero temperature we arrive to the conclusion that as the magnetic field approaches the critical field H

_{c2}(0) from above, a peculiar dynamic state consisting of clusters of coherently rotating fluctuation Cooper-pairs forms. We estimate the characteristic size ξ

_{QF}(H) and lifetime τ

_{QF}(H) of such clusters and indicate in the corresponding domain of the phase diagram, where such phenomenon can be observed. The derived values ξ

_{QF}(H) and τ

_{QF}(H) allow us to reproduce qualitatively the available results for the quantum fluctuation contributions to the in-plane conductivity, magnetization, and the Nernst coefficient.

## Form Factors in the Φ_{1,2} perturbed minimal models

18 May 2012 in 11:30

_{1,2}perturbed minimal models.

## Sound modes in non-magnetic dielectrics in a magnetic field

20 April 2012 in 11:30

__E.I. Kats__

## On the accuracy of the Wang-Landau method

23 March 2012 in 11:30

## Quantum electrodynamics with anisotropic scaling: Heisenberg-Euler action and Schwinger pair production in the bilayer graphene

16 March 2012 in 11:30

__G. E. Volovik__

## Commuting vector fields and integrable PDEs of hydrodynamic type in multidimensions (joint work with S. V. Manakov)

2 March 2012 in 11:30

## Statistical properties of passive scalar in a random flow with a strong shear component

10 February 2012 in 11:30

__I.V. Kolololov__, Nguen Than Trung

## Rayleigh–Taylor instability in a visco-plastic ﬂuid

20 January 2012 in 11:30

__N.A. Inogamov__, and E.E. Son

## Fluctuation-dissipation theorem for chiral systems in nonequilibrium steady states

23 December 2011 in 11:30

## Coherent resonance accumulation of the EDM signal at magnetic storage rings

2 December 2011 in 11:30

__N. Nikolaev__, F. Rathmann (IKP FZJ)

## Bases in 2d conformal field theory and instanton moduli spaces

25 November 2011 in 11:30

__M.A. Bershtein__, B.L. Feigin, A.V. Litvinov, G.M. Tarnopolskiy

## Bases in 2d conformal field theory and instanton moduli spaces

18 November 2011 in 11:30

__M.A. Bershtein__, B.L. Feigin, A.V. Litvinov, G.M. Tarnopolskiy

^{2}/Z

_{p}which corresponds to a certain coset conformal field theory and describe the properties of this basis. We argue that in the case p=2, r=2 there exist different bases. We give an explicit construction of one of them. For another basis we propose the formula for matrix elements.

## Localized Majorana state on a disordered surface of a topological insulator

11 November 2011 in 11:30

__P. A.Ioselevich__, P. M.Ostrovsky, M. V. Feigel'man

## Quantum tops as examples of commuting differential operators

7 October 2011 in 11:30

__A.B. Shabat__, V.E. Adler, V.G. Marikhin

## Level statistics of disordered spin-1/2 systems and its implications for materials with localized Cooper pairs.

23 September 2011 in 11:30

__Mikhail Feigel'man__, Lev Ioffe and Marc Mezard

## Bosonic analog of the electron bubble: ground-state and non-ground-state BEC of magnons in superfluid 3He-B

16 September 2011 in 11:30

_{c}is interpreted to represent Bose-Einstein condensation of spin wave excitations or magnons in a magnetic trap which is formed by the orbital texture of order parameter. When the number of magnons increases, they via spin-orbit interaction exert an orienting influence on the orbital texture. Since the texture is very flexible the potential well produced by texture is crucially modified leading to self-localization of magnon BEC. The scenario of self-localization represents the bosonic analog of formation of the electronic bubble in helium liquids, where an injected electron opens a cavity whose size is determined by a balance between the zero-point energy of the electron and the surface energy of the bubble. In our case the role of the electron wave function is played by the condensate wave function of magnon BEC, while the role of the liquid environment is played by the orbital texture, which is expelled from the bubble due to spin-orbit interaction. The bubble free from texture can be filled either with the magnon condensate in the ground states, or with BEC on any excited level. The BEC in a given excited state is populated and sustained by continuous rf pumping at its specific excitation frequency. On switching off the pumping the magnons from an excited level BEC drop to the ground state BEC.

## Motion of near-spherical micro-capsule in planar external flow

9 September 2011 in 11:30

__S.S. Vergeles__and P.E. Vorobev

## Magnetic-field-driven quantum phase transitions in unconventional Josephson arrays

2 September 2011 in 11:30

__Michael Gershenson__(Rutgers University, USA)

## Logarithmic scaling of the critical collapse of Keller-Segel equation

24 June 2011 in 11:30

_{0}-t)

^{1/2}scaling law of self-similar solution in qualitative analogy with log-log corrections for NLS. Very good agreement is achieved between the direct numerical simulations of KS with the analytical results by developing a perturbation theory for logarithmic-type modifications. It suggests that log-log corrections in NLS also could be verified in a similar way.

## Topological bound states in 3D media with Weyl points: 1D flat band on the vortex axis and Fermi arc on the surface

3 June 2011 in 11:30

## On a discrete analog of the Tzitzeica equation

29 April 2011 in 11:30

## Hopping conductance in the presence of electro-magnetic fields

22 April 2011 in 11:30

## Form Factors in the Ising Model in Magnetic Field at T=T_{c}

15 April 2011 in 11:30

_{c}(IMMF). This model is known to be an integrable QFT whose spectrum and the exact S-matrix is described by the E

_{8}scattering theory. The correlation functions of local operators can be computed within the Form Factor approach. Using the remarkable connection between the IMMF and the Bullough-Dodd model in the framework of the free field representation we obtain exact form factors of local operators in the IMMF. We obtain the recurrent relation which establishes relation between form factors with a different number of particles and provides a convenient procedure for explicit evaluation of the form factors.

## Nepreryvnaya interpolyatsiya mezhdu frustrirovannym Izingom i kvantovymi dimernymi modelyami

8 April 2011 in 11:30

## Nodal topological matter and flat bands

1 April 2011 in 11:30

## Elastic-plastic phenomena and propagetion of strong shock wawes under the acion of femtosecond laser pulses

18 March 2011 in 11:30

__V.A. Khokhlov__, N.A. Inogamov, V.V. Zhakhovskii

## Ablation of lithium fluoride dielectric crystal by the short pulses of x-ray plasma laser and extreme ultraviolet free electron laser.

18 March 2011 in 11:30

__Khokhlov V.A.__, Petrov Yu.V., Skobelev I.Yu., Zhakhovskii V.V.

## Magneto-optics of graphite in quantizing magnetic fields

11 March 2011 in 11:30

## Enhancement of superconductivity by Anderson localization

4 March 2011 in 11:30

## Quantum Abacus for counting and factorizing numbers

4 March 2011 in 11:30

__G. B. Lesovik__, G. Blatter

## Fazovaya diagramma frustrirovannoi modeli Izinga s poperechnym magnitnym polem i sotovoi reshyotkoi

18 February 2011 in 11:30

## Rezonansy v modelyakh sh- i sin-Gordona i vysshie uravneniya dvizheniya v teorii Liuvillya

11 February 2011 in 11:30

## On combinatorial expansion of the conformal blocks arising from AGT conjecture

4 February 2011 in 11:30

_{bif}appearing in the instanton counting literature. Having such a simple basis the problem of computation of the conformal blocks simplifies drastically and can be shown to lead to the expansion proposed by AGT. We found that this basis diagonalizes an infinite system of commuting Integrals of Motion related with some integrable hierarchy

## Applying dissipative dynamical systems to pseudorandom number generation: equidistribution property and statistical independence of bits on length up to logarithm of mesh size. RNGSSELIB: Program library for Random Number Generation.

28 January 2011 in 11:30

__L.Yu. Barash__, L.N. Shchur

## Three approaches to the 2d Quantum gravity

29 October 2010 in 11:30

__M. Bershtein__, G. Tarnopolsky

## Sverkhmassivnaya chernaya dyra v ellipticheskoi galaktike: akkretsiya goryachego gaza s malym, no konechnym uglovym momentom

22 October 2010 in 11:30

__N.A. Inogamov__, R.A. Syunyaev

## Collapse as a process of pulse shortening

15 October 2010 in 11:30

## Compact model for water waves

24 September 2010 in 11:30

## BEC of non-equilibrium quasiparticles in ^{3}He and beyond

17 September 2010 in 11:30

^{3}He-B and later observed in other systems. Magnon BEC is accompanied by superfluidity of magnons, and since each magnon carries spin s

_{z}= -1, this is spin superfluidity. We discuss different phases of magnon BEC (including those formed in magnetic-textural traps), the observed signatures of spin superfluidity: (i) spin supercurrent, which transports the magnetization over a macroscopic distance more than 1 cm long; (ii) spin current Josephson effect which shows interference between two condensates; (iii) spin current vortex — a topological defect which is an analog of a quantized vortex in superfluids and an Abrikosov vortex in superconductors; (iv) Goldstone modes related to the broken U(1) symmetry, which are analogous to sound waves in atomic BEC; etc., and specific properties of BEC of excitations which have no analogs in atomic BEC, such as parametric instability of magnon BEC and mass of the Goldstone mode.

## Charge solitons and their dynamical mass in 1-D arrays of Josephson junctions

10 September 2010 in 11:30

## Critical amplitude ratios of the Baxter-Wu model

3 September 2010 in 11:30

__L. Shchur__, W. Janke

## Two dimensional gravity in genus one in Matrix Models etc.

18 June 2010 in 11:30

*p*-critical point on torus is considered. The generating function of correlation numbers in genus one is evaluated and used for computation correlation numbers in KdV and CFT frames. It is shown that the correlation numbers in KdV frame in genus one satisfy the Witten topological gravity recurrence relations.

## Nucleation processes and their study by simulations

4 June 2010 in 11:30

## Hydrodynamics of Bubble Chains

9 April 2010 in 11:30

## Non-equilibrium “functional” Bozonization and electron transport in quantum interferometers

2 April 2010 in 11:30

## Fraktal’naya sverkhprovodimost’ i perekhod sverkhprovodnik-izolyator (chast’ 3)

26 March 2010 in 11:30

## Modifikatsiya tochno reshaemoi modeli Kitaeva (spin 1/2) na dekorirovannoi shestiugol’noi reshetke s osnovnym sostoyaniem tipa «spinovyi metall»

12 March 2010 in 11:30

## Topological transition in a non-Hermitian quantum walk

19 February 2010 in 11:30

*et al.*, Nature 431, 162-167 (2004)]. The quantized behavior stands in contrast with the smooth dependence expected for a classical random walk, and can serve as a hallmark of coherent quantum dynamics in ladder-like multilevel systems. A real-space implementation of the quantum walk may help to verify quantum coherence in vortex transport in Josephson arrays [A. van Oudenaarden, S.J.K. Vardy, and J. E. Mooij, Phys. Rev. Lett. 77, 4257 (1996)].

## Thermodynamic magnetization of a strongly interacting two-dimensional system

12 February 2010 in 11:30

*T*

^{α}, with α = 2.2–2.6 even at high electron densities, in apparent contradiction with the Fermi-liquid picture.

## Passive scalar transport in peripheral regions of random flows

22 January 2010 in 11:30

*d*and revealed structures responsible for the transport that are passive scalar tongues pulled from the diffusive boundary layer to bulk. We investigated statistical properties of the passive scalar and of the passive scalar integrated along the wall. Moments of both objects demonstrate scaling behavior outside the diffusive boundary layer. We propose an analytical scheme for explanation scaling of the passive scalar, the obtained exponents agree reasonably with numerics in 3

*d*.

## Formalism of Ghost Cohomologies in String Theory

18 December 2009 in 11:30

## Short pulse nanostructuring by lasers with different wavelengths

20 November 2009 in 11:30

_{L}is shorter than acoustic relaxation time

*t*

_{s}is considered. Such pulse is a reason of thermomechanical phenomena and spallative ablation irrespectively of wavelength. While, of course, physics of electron-ion relaxation strongly depends on wavelength and the electron spectra of substances - there are spectra with an energy gap Δ (semiconductors, dielectrics) versus continuous spectra (metals). The report describes the whole set of the thermomechanical processes as expansion-nucleation-foaming-nanostructuring-spallation with particular attention to spallation by X-ray pulse.

## Possible solution of cosmological constant problem: Minkowski vacuum as attractor

30 October 2009 in 11:30

## Vortex structures in rotating Bose-Einstein condensates

16 October 2009 in 11:30

## Role of thermal fluctuations in vesicle dynamics in an external shear flow

9 October 2009 in 11:30

__S.S. Vergeles__, V.V. Lebedev, K.S. Turitsyn

## Superfluid ^{3}He-B as topological insulator

2 October 2009 in 11:30

^{3}He-B, which belongs to the special class of time-reversal invariant topological insulators and superfluids. Integer valued topological invariant is expressed in terms of the Green's function, which allows us to consider systems with interaction. Discrete symmetries important for classification of the topologically distinct vacuum states are discussed. One of them leads to the additional subclasses of

^{3}He-B states and is responsible for the finite density of states of Majorana fermions living on the diffusive wall.

## Quantum divisibility test and its application in mesoscopic physics

29 May 2009 in 11:30

__G.B. Lesovik__, M.V. Suslov, G. Blatter

*N*particles) involves log

_{2}

*N*quantum bits serving as counters and a sequential read out. Applications include a divisibility check to experimentally test the size of a finite train of particles in a quantum wire with a one-shot measurement and a scheme allowing to entangle multi-particle wave functions and generating Bell states, Greenberger-Horne-Zeilinger states, or Dicke states in a Mach-Zehnder interferometer.

## Exact Haldane mapping for all *S* and super universality in spin chains

22 May 2009 in 11:30

*S*→ ∞ is known to map onto the

*O*(3) nonlinear σ-model with a &thetasy; term in 1+1 dimension. By employing the underlying dual symmetry of the spin chain, as well as the recently established topological significance of “dangling edge spins”, we present an

*exact*mapping onto the

*O*(3) model that avoids the conventional large

*S*idea altogether. Guided by numerical RG analyzes we show that the spin chain generally displays macroscopic quantization phenomena such as the Hall effect, as well as quantum criticality of the quantum Hall plateau transitions. Our results furthermore explain why the

*S*= ∞ approximation generally yields the correct answer in spite of the fundamental complications in the idea of semiclassical expansions.

## Uniaxially anisotropic antiferromagnets in a field along the easy axis

15 May 2009 in 11:30

## Spallative ablation of metals and dielectrics

17 April 2009 in 11:30

__N.A. Inogamov__, A.Ya. Faenov, V.A. Khokhlov, Yu.V. Petrov, V.V. Zhakhovskii, I.Yu. Skobelev, K. Nishihara, Y. Kato, M. Tanaka, T.A. Pikuz, M. Kishimoto, M. Ishino, M. Nishikino, Y. Fukuda, S.V. Bulanov, T. Kawachi

_{L}= 7 ps). It is found that there is a threshold for crater formation

*F*

_{abl}≈ 10 mJ/cm

^{2}. This threshold is small in comparison with X-ray ablation by longer (ns) pulses. Theory explains this as a consequence of a change from more energy consuming evaporation ablation to spallative ablation when duration decreases from ns to ps. Previously spallative mechanism of ablation was attributed exclusively for the case of ℏω ~ 1 eV lasers and metal or semiconductor targets. Here we show that tensile stress created by short pulse in dielectrics even at relatively small X-ray fluences is able to cause spallative removal of target material.

## Dva razlichnykh tipa gigantskikh voln v slabo-skreshchennykh sostoyaniyakh morskoi poverkhnosti

10 April 2009 in 11:30

*k*

_{0 ± Δ}

*k*/2 in the Fourier plane, is numerically simulated using the fully nonlinear model for long-crested water waves [V. P. Ruban, Phys. Rev. E 71, 055303(R) (2005)]. Depending on an angle θ between the vectors

*k*

_{0}and Δ

*k*, which determines a typical orientation of interference stripes in the physical plane, rogue waves arise having different spatial structure. If θ ≤ arctan(1/√2), then typical giant waves are relatively long fragments of essentially two-dimensional (2D) ridges, separated by wide valleys and consisting of alternating oblique crests and troughs. At nearly perpendicular

*k*

_{0}and Δ

*k*, the interference minima develop to coherent structures similar to the dark solitons of the nonlinear Shroedinger equation, and a 2D freak wave looks much as a piece of a 1D freak wave, bounded in the transversal direction by two such dark solitons.

## Infrared catastrophe in two-quasiparticle collision integral

27 March 2009 in 11:30

__O.V. Dimitrova__, V.E. Kravtsov

*M*= 0 and only for non-zero interaction in the triplet channel. The infrared cut-off which arises from the broadening of the energy levels by the electron-electron interaction is found to be of the order of the inverse dephasing time.

## Weak continuous measurements of multiqubits systems

5 December 2008 in 11:30

*N*coupled flux qubits.

## Evaporation and fluid dynamics of a sessile drop of capillary size

24 October 2008 in 11:30

## Bose-Einstein condensation and superfluidity of magnons in superfluid ^{3}He

17 October 2008 in 11:30

^{3}He-B in 1984. Magnon BEC is manifested as spontaneous formation of the domain in which magnetization is freely precessing with the phase coherent throughout the whole domain even in the presence of inhomogeneous external magnetic fields. Spin-superfluid properties of this domain (HPD) have been verified in a number of experiments: magnetization transport via spin supercurrent (the analog of a mass current in conventional superfluids): phase-slip processes at a critical spin current; the spin-current Josephson effect; the topological defect — spin current vortex. The Goldstone mode originating from the U(1) symmetry breaking has been also observed; it represents phonons — sound waves in compressible magnon liquid — in a full correspondence with Landau theory of superfluidity. However as distinct from the conventional superfluids, in magnon superfluid it is easy to introduce experimentally the symmetry breaking field, which induces the mass of the phonon. In addition to HPD, several other states of coherent precession have been recently observed in superfluid

^{3}He: two new modes of coherent precession in compressed aerogel; analogs of /Q/-balls at very low temperatures; magnon BEC in

^{3}He-A; etc.

## Laser ablation of aluminum and gold

10 October 2008 in 11:30

_{L}~ 40–100 fs is shorter than characteristic times of (1) electron-ion thermal relaxation, (2) melting of overheated crystal lattice, and (3) cavitation decay of metastable state. Thus the fsLP with moderate intensity ~ 10

^{13}W/cm

^{2}results in non-equilibrium processes (1, 2, 3). These processes have very various time scales from subpicoseconds to nanoseconds. The theory of these processes and related experiments are the subject of the report. Two-temperature (2T) hydrodynamics (2Thd) and molecular dynamics (MD) codes are used. The physical model includes the 2T equation of state (EOS), many-body interatomic potential, electron-ion energy exchange, electron thermoconductivity, and model describing optical properties. Experimental setup with pump-probe technique is used to follow evolution of irradiated target with short time step 100 fs between the probe fsLP and ~ 1 % accuracy of measurement of reflection coefficient and ~ 1 nm accuracy of measurement of the probe phase. It is found that, firstly, in solid Al the electron-electron collisions make a minor contribution to the light absorbtion, secondly, the phase shift of reflected probe results from kinetics of melting of Al during 0

## Numerical revision of the universal amplitude ratios for the two-dimensional 4-state Potts model

3 October 2008 in 11:30

The RG predictions on the cancelation of the logarithmic corrections in the universal amplitude ratios are tested. A direct calculation of the effective ratio of the energy amplitudes using duality relations explicitly demonstrates this cancelation of logarithms, thus upporting the predictions of RG.

We emphasize the role of corrections of background terms on the determination of the amplitudes. The ratios of the critical amplitudes of the susceptibilities obtained in our analysis differ significantly from those predicted theoretically and supported by earlier SE and MC analysis. This disagreement might signal that the two-kink approximation used in the analytical estimates is not sufficient to describe with fair accuracy the amplitudes of the 4-state model.

## Thermodynamics and dynamics of the vacuum energy and cosmological constant

5 September 2008 in 11:30

## Plastic response of metals and semiconductors to irradiation by short laser pulse

30 November 2007 in 11:30

## O dissipatsii v potentsial’nom techenii zhidkosti so svobodnoi granitsei

2 November 2007 in 11:30

## Adiabatic quantum pumping in interacting systems

26 October 2007 in 11:30

## Exact *N*-particle scattering matrix for electrons interacting on a quantum dot

26 October 2007 in 11:30

*N*particles interacting within a quantum dot. Characterizing the dot by its resonances, we find a compact form for the scattering matrix in a real-time representation. We make use of our results to study the transmission probabilities and interaction-induced orbital entanglement of two electrons incident on the dot in a spin-singlet state.

## Isochronous systems are not rare

12 October 2007 in 11:30

## Symmetry constraints on phonon dispersion in graphene

15 June 2007 in 11:30

## Dynamics of wrinkles on a vesicle in external flow

11 May 2007 in 11:30

## New features of the Abramovsky-Gribov-Kancheli unitarity rules in QCD

27 April 2007 in 11:30

## Bootstrap in Supersymmetric Liouville Field Theory

20 April 2007 in 11:30

## Theory of resonant multiphonon Raman scattering in graphene

30 March 2007 in 11:30

## "Sosushchestvovanie sverkhprovodimosti i volny spinovoi plotnosti v organicheskom metalle (TMTSF)_{2}PF_{6}"

8 December 2006 in 11:30

## Effects of Exchange Symmetry on Full Counting Statistics

8 December 2006 in 11:30

__G.B. Lesovik__, F. Hassler, G. Blatter

## Averaging in Spherically Symmetric Cosmology

10 November 2006 in 11:30

## Statistics of entropy generated by a gradient flow over polymer

13 October 2006 in 11:30

## On magnetic susceptibility of a spin-S impurity in nearly ferromagnetic Fermi liquid

26 February 2006 in 11:30

## Periodic orbits of the ensemble of Sinai-Arnold cat maps and pseudorandom number generation

17 February 2006 in 11:30

## Parton energy loss in hot QCD medium and discovery of quark-gluon plasma in nuclear collisions at rhic

27 January 2006 in 11:30

## Scaling and front dynamics in Ising quantum chains

18 November 2005 in 11:30

*T*

_{s}and the remaining part is at a temperature

*T*

_{b}.

## Mesoscopic wave turbulence

2 September 2005 in 11:30

## On the transition from regular to irregular motion as travel on a Riemann surface

2 September 2005 in 11:30

## Quasi-planar steep water waves

6 May 2005 in 11:30

## Wave Function Collapse in a Mesoscopic Device

25 February 2005 in 11:30

__G.B. Lesovik__, A.V. Lebedev, and G. Blatter

*x*

_{1},

*t*

_{1})(

*x*

_{2},

*t*

_{2})〉in a mesoscopic conductor with a scattering center at the origin. Its excess part appearing at finite voltage exhibits a unique dependence on the retarded variable

*t*

_{1}–

*t*

_{2}– (|

*x*

_{1}| – |

*x*

_{2}|)/

*v*

_{F}, with

*v*

_{F}the Fermi velocity. The non-monotonic dependence of the retardation on

*x*

_{1}and its absence at the symmetric position

*x*

_{1}= –

*x*

_{2}is a signature of the wave function collapse, which thus becomes amenable to observation in a mesoscopic solid state device.

## Decay of Richtmyer-Meshkov turbulence

14 January 2005 in 11:30

## Emission of matter from condensed targets after heating by ultrasoft laser pulse

3 December 2004 in 11:30

## Water waves over a time-dependent bottom: Exact description for 2D potential flows

19 November 2004 in 11:30

## Fully frustrated XY-model on a dice lattice

12 November 2004 in 11:30

## A neutron time focus lens

17 September 2004 in 11:30

Applications may concern neutron instruments, where temporal imaging can enhance intensity and/or time resolution. New fields of application for high resolution neutron time of flight spectrometry can be opened.

## Water waves over a strongly inhomogeneous bottom

10 September 2004 in 11:30

## Tunable Fermi-Edge Resonance and Non-Commuting Scattering Matrices

21 May 2004 in 11:30

*I-V*characteristic. The effect of scattering in a mesoscopic quantum dot on the exponent is shown to depend on a single parameter, the reflection amplitude of an extended scattering matrix of the system. Changing the reflection coefficient by varying the dot coupling to the leads and scattering inside the dot allows to explore a wide range of exponents.

## Topological percolation on a square lattice

27 February 2004 in 11:30

*(2+1)*-dimensional system. We demonstrate that topological percolation belongs to the universality class of the standard

*2D*bond percolation. We compute the topological percolation threshold and demonstrate that the critical exponents of topological phase transition coincide with the ones of the standard

*2D*bond percolation. Our numerical check confirms well obtained analytical results.

## Charge transport through a SET with a mechanically oscillating island

30 January 2004 in 11:30

## Forwarding stimulated Brillouin scattering instability of a spatially and temporally incoherent laser beam

17 October 2003 in 11:30

## On (1+1)D anisotropic ballistic deposition with links to the Ulam problem and (2+1)D directed percolation

26 September 2003 in 11:30

*A*, exact pseudo-differential equations of motion are derived, based on variables that determine a conformal mapping of the unit circle exterior into the region occupied by the fluid. A closed expression for the Hamiltonian of the 2D system in terms of canonical variables is obtained. Stability of a stationary drifting 2D hollow vortex is demonstrated, when the circulation is relatively large,

*gA*. For a circulation-dominated regime of three-dimensional flows a simplified Lagrangian is suggested, inasmuch as the bubble shape is well described by the center-line

^{3/2}/Γ^{2}<< 1*g{R}(ξ,t)*and by an approximately circular cross-section with relatively small area,

*A(ξ,t)<< (oint |g{R}'|dξ)*In particular, a finite-dimensional dynamical system is derived and approximately solved for a vertically moving axisymmetric vortex ring bubble with a compressed gas inside.

^{2}## Toroidal bubbles with circulation in ideal hydrodynamics. A variational approach

19 September 2003 in 11:30

*A*, exact pseudo-differential equations of motion are derived, based on variables that determine a conformal mapping of the unit circle exterior into the region occupied by the fluid. A closed expression for the Hamiltonian of the 2D system in terms of canonical variables is obtained. Stability of a stationary drifting 2D hollow vortex is demonstrated, when the circulation is relatively large,

*gA*

^{3/2}/Γ

^{2}≪ 1. For a circulation-dominated regime of three-dimensional flows a simplified Lagrangian is suggested, inasmuch as the bubble shape is well described by the center-line

*g*{

*R*}(ξ,

*t*) and by an approximately circular cross-section with relatively small area,

*A*(ξ,

*t*) ≪ (∮ |

*g*{

*R*}'|dξ)

^{2}In particular, a finite-dimensional dynamical system is derived and approximately solved for a vertically moving axisymmetric vortex ring bubble with a compressed gas inside.

## Decoherence due to nodal quasiparticles in D-wave qubits

25 April 2003 in 11:30

## Triplet proximity effect in FSF trilayers

18 April 2003 in 11:30

## Phase diagram of a surface superconductor in parallel magnetic field

18 April 2003 in 11:30

## On the Aizenman exponent in critical percolation

21 March 2003 in 11:30

## New problems in perturbation theory and their solutions for generic case

22 November 2002 in 11:30

*A*are considered in the classical perturbation theory. However, if the number of linear independent eigenvectors for λ is greater than the rank

*r*of a perturbation

*B*, then λ must also be in the spectrum of the new operator

*C*=

*A*+

*B*. What can one say about the change of the spectral properties of λ when the matrix

*A*is replaced by

*C*? In our paper we show that a generic perturbation of rank

*r*changes the Jordan form of λ in the following way:

*r*largest Jordan blocks disappear and all the others remain the same. For the new matrix, the part of a Jordan basis corresponding to the eigenvalue is constructed. By means of the resolvent technique and the Binet-Cauchy formula we obtain the equation of the critical surface in the space of matrix entries of a perturbation out which the typical change of the spectral properties takes place. For the new eigenvalues we develop the first order perturbation theory.

## Local approximation for contour dynamics in effectively two-dimensional ideal electron-magnetohydrodynamic flows

27 September 2002 in 11:30

## Disclination motion in liquid crystalline films

7 June 2002 in 11:30

## Interlayer magnetotransport in quasi-2D metals

31 May 2002 in 11:30

## Nonsinusoidal current-phase relation in SFS Josephson junctions

31 May 2002 in 11:30

*I*(φ) in superconductor-ferromagnet-superconductor (SFS) point contacts and planar double-barrier junctions are studied in the limit of thin diffusive ferromagnetic interlayers. The physical mechanisms leading to highly nontrivial

*I*(φ) dependence are identified by studying the spectral supercurrent density. These mechanisms are also responsible for the 0-π transition in SFS Josephson junctions.

## Universality of the crossing probability for the Potts model for *q* = 1, 2, 3, 4

27 April 2002 in 11:30

^{hs}of a system to percolate only in the horizontal direction, was investigated numerically by using a cluster Monte-Carlo algorithm for the

*q*-state Potts model for

*q = 2, 3, 4*and for the percolation

*q*= 1. We check the percolation through Fortuin-Kasteleyn clusters near the critical point on the square lattice by using representation of the Potts model as the correlated site-bond percolation model. It was shown that probability of a system to percolate only in the horizontal direction π

^{hs}has universal form π

^{hs}=

*A*(

*q*)

*Q*(

*z*) for

*q*=1, 2, 3, 4 as a function of the scaling variable

*z*= [

*b*(

*q*)

*L*

^{1/ν(q)}(

*p*−

*p*

_{c}(q,

*L*)) ]

^{ζ(q)}. Here,

*p*= 1 − exp(−

*β*) is the probability of a bond to be closed,

*A*(

*q*) is the nonuniversal crossing amplitude,

*b*(

*q*) is the nonuniversal metric factor,

*ζ*(

*q*) is the nonuniversal scaling index,

*ν(q)*is the correlation length index. The universal function

*Q(x) ≃*exp

*(-z)*. Nonuniversal scaling factors was found numerically.

## Gravity or convective turbulent mixing

19 April 2002 in 11:30

(i) Existence of fast descending and ascending jets is revealed. Speed of movement of substance in them exceed speed of TMZ front. Deceleration of the fast moving jets occurs in a small vicinity of front. Such sharp deceleration results in occurrence of spots in which absolute values of deceleration are high. They exceed archimedean value

*gA = (1-μ) g*and are much larger than mean acceleration

*ddot h+*of front, where

*μ=ρl/ρh <1*- is the ratio of densities. Spot is formed in a place of crossing of front and a jet. Other interesting detail of a mixing zone is occurrence of small areas of sharp pressure drop. In them there is a strong acceleration of a light liquid.

(ii) The questions on characteristic horizontal scale of structures from bubbles and jets in a TMZ and on a spectrum of long-wave fluctuations are investigated.

## Neravnovesnye effekty pri tunnelirovanii cherez vzaimodeistvuyushchie andersonovskie primesi

22 March 2002 in 11:30

## Random diffusion of optical pulse width in a disordered anisotropic optical media

18 January 2002 in 11:30

## Reservoir as a source for probability in quantum mechanics

14 December 2001 in 11:30

## Upper critical field in a trigonal unconventional superconductor (UPt_{3})

7 December 2001 in 11:30

## Spin susceptibility of the superfluid ^{3}He-B in aerogel

30 November 2001 in 11:30

## Schwinger type processes via branes and their gravity duals

12 October 2001 in 11:30

## New algebraic structures related with Baxter Q-operator

28 September 2001 in 11:30