Russian Academy of Sciences

Landau Institute for Theoretical Physics

Sergey K. Nechaev

Doctor of science

Publications

    1. F. Hivert, S. Nechaev, G. Oshanin, O. Vasilyev, On the distribution of surface extrema in several one- and two-dimensional random landscapes, J. Stat. Phys., 126(2), 243-279 (2007); cond-mat/0509584.
    2. M.V. Tamm, S.K. Nechaev, Necklace-cloverleaf transition in associating RNA-like diblock copolymers, Phys. Rev. E 75, 031904 (2007) (13 pages).
    3. G. Sitnikov, M. Taran, A. Muryshev, S. Nechaev, Application of a two-length-scale field theory to the solvation of neutral and charged molecules, J. Chem. Phys. 124, 094501 (2006) (15 pages); cond-mat/0505337.
    4. A.Y. Grosberg, S. Nechaev, M. Tamm, O. Vasilyev, How long does it take to pull an ideal polymer into a small hole?, Phys. Rev. Lett. 96, 228105 (2006) [4 pages]; cond-mat/0510418.
    5. M.V. Tamm, S.K. Nechaev, I.Ya. Erukhimovich, Statistics of ideal randomly branched polymers in a semi-space, Eur. Phys. J. E 17 (2), 209-219 (2005); cond-mat/0408575.
    6. S. Nechaev, O. Vasilyev, On topological correlations in trivial knots: From Brownian Bridges to crumpled globules, J. Knot Theory and Its Ramifications, 14 (2), 243-263 (2005); cond-mat/0204149.
    7. S. Nechaev, R. Voituriez, Conformal geometry and invariants of 3-strand Brownian braids, Nucl. Phys. B 710(3), 614-628 (2005).
    8. S.N. Majumdar, S. Nechaev, Exact asymptotic results for the Bernoulli matching model of sequence alignment, Phys. Rev. E 72, 020901 (2005) (4 pages); q-bio/0410012.
    9. G.V. Sitnikov, S.K. Nechaev, M.D. Taran, O kolichestvennoi srednepolevoi teorii gidrofobnogo effekta neitral’nykh i zaryazhennykh molekul proizvol’noi geometrii, ZhETF, 128(5), 1099-1116 (2005) [G.V. Sitnikov, S.K. Nechaev, M.D. Taran, A quantitative mean-field theory of the hydrophobic effect of neutral and charged molecules of arbitrary geometry, JETP, 101(5), 962-977 (2005)].
    10. S.K. Nechaev, O.A. Vasilyev, Thermodynamics and Topology of Disordered Knots. Correlations in Trivial Lattice Knot Diagrams, In: Physical and Numerical Models in Knot Theory: Including Applications to the Life Sciences, Chap. 22, p. 421-472 Ed. by J.A. Calvo, K.C. Millett, E.J. Rawdon and A. Stasiak, WSPC: Singaport, 2005. ISBN 981-256-187-0 [Series on Knots and Everything - Vol. 36].
    11. G. Sitnikov, S. Nechaev, Whether the mean-field two-length scale theory of hydrophobic effect can be microscopically approved?, cond-mat/0510045.
    12. S.K. Nechaev, O.A. Vasilyev, On metric structure of ultrametric spaces, J. Phys. A 37(12), 3783-3803 (2004); cond-mat/0310079.
    13. S.N. Majumdar, S. Nechaev, Anisotropic ballistic deposition model with links to the Ulam problem and the Tracy-Widom distribution, Phys. Rev. E 69, 011103 (2004) [5 pages]; cond-mat/0307189.
    14. S.K. Nechaev, O.A. Vasil’ev, On the Metric Structure of Ultrametric Spaces, Tr. MIAN, 245 (Izbrannye voprosy $p$-adicheskoi matematicheskoi fiziki i analiza, Sbornik statei. K 80-letiyu so dnya rozhdeniya akademika Vasiliya Sergeevicha Vladimirova), 182–201 (2004) [Proc. Steklov Inst. Math., 245, 169–188 (2004)].
    15. S.K. Nechaev, O.A. Vasilyev, Topological percolation on a square lattice, cond-mat/0401027.
    16. S. Nechaev, Raphaël Voituriez, Random walks on three-strand braids and on related hyperbolic groups, J. Phys. A 36 (1), 43-66 (2003).
    17. O.A. Vasil’ev, S.K. Nechaev, O topologicheskikh korrelyatsiyakh v trivial’nykh uzlakh: Novye argumenty v pol’zu predstavleniya o skladchatoi polimernoi globule, TMF, 134(2), 164–184 (2003) [O.A. Vasilyev, S.K. Nechaev, Topological correlations in trivial knots: New arguments in favor of the representation of a crumpled polymer globul, Theor. Math. Phys., 134 (2), 142-159 (2003)].
    18. N.D. Ozernyuk, S.K. Nechaev, Analiz mekhanizmov adaptatsionnykh protsessov, Izv. AN, ser. biol., No.4, 457-462 (2002) [N.D. Ozernyuk, S.K. Nechaev, Analysis of mechanisms underlying adaptation processes, Biology Bull., 29 (4), 373-377 (2002)].
    19. A.A. Naidenov, S.K. Nechaev, O reaktsiyakh tipa $A+A+ \ldots+A \to0$ na odnomernoi periodicheskoi reshetke kataliticheskikh tsentrov: tochnoe reshenie, Pis’ma v ZhETF, 76 (1), 68-73 (2002) [A.A. Naidenov, S.K. Nechaev, On the reactions A + A+ ... + A -> 0 at a one-dimensional periodic lattice of catalytic centers: Exact solution, JETP Lett., 76 (1), 61-65 (2002)]; cond-mat/0209271.
    20. S. Nechaev, O. Vasilyev, Topological correlations in trivial knots: new arguments in support of the crumpled polymer globule, cond-mat/0204149.
    21. A. Naidenov, S. Nechaev, Adsorption of a random heteropolymer at a potential well revisited: location of transition point and design of sequences, J. Phys. A 34(28), 5625-5634 (2001); cond-mat/0012232.
    22. S. Nechaev, R. Voituriez, On the plant leaf's boundary, ‘jupe à godets’ and conformal embeddings, J. Phys. A 34(49), 11069 (2001); cond-mat/0107413.
    23. S. Nechaev, Raphaël Voituriez, On the plant leaf's boundary, "jupe a godets" and conformal embeddings, J. Phys. A 34(49), 11069-11082 (2001).
    24. A. Comtet, S. Nechaev, Raphaël Voituriez, Multifractality in uniform hyperbolic lattices and in quasi-classical Liouville field theory, J. Stat. Phys., 102 (1-2), 203-230 (2001); cond-mat/0004491.
    25. R. Bikbov, S. Nechaev, Topological relaxation of entangled flux lattices: Single versus collective line dynamics, Phys. Rev. Lett. 87, 150602 (2001); cond-mat/0010466.
    26. O.A. Vasil’ev, S.K. Nechaev, Termodinamika i topologiya neuporyadochennykh sistem: Statistika diagramm sluchainykh uzlov na konechnykh reshetkakh, ZhETF, 120(5), 1288-1308 (2001) [O.A. Vasilyev, S.K. Nechaev, Thermodynamics and topology of disordered systems: Statistics of the random knot diagrams on finite lattices, JETP, 93(5), 1119-1136 (2001)]; cond-mat/0111091.
    27. A.M. Vershik, S. Nechaev, R. Bikbov, Statistical properties of locally free groups with applications to braid groups and growth of random heaps, Commun. Math. Phys., 212 (2), 469-501 (2000).
    28. R. Voituriez, S. Nechaev, Multifractality of entangled random walks and non-uniform hyperbolic spaces, J. Phys. A 33(32), 5631-5652 (2000); cond-mat/0001138.
    29. S. Nechaev, G. Oshanin, A. Blumen, Anchoring of polymers by traps randomly placed on a line, J. Stat. Phys., 98 (1-2), 281-303 (2000); cond-mat/9901269.
    30. S. Nechaev, R. Voituriez, Random walks on hyperbolic groups and their Riemann surfaces, math-ph/0012037.
    31. R. Bikbov, S. Nechaev, On the limiting power of the set of knots generated by 1+1-and 2+1-braids, J. Math. Phys., 40(12), 6598-6608 (1999).
    32. R.R. Bikbov, S.K. Nechaev, Ob otsenke sverkhu moshchnosti mnozhestva uzlov, porozhdennykh odnomernymi i dvumernymi kosami, TMF, 120(2), 208–221 (1999) [R.R. Bikbov, S.K. Nechaev, Upper estimate of the cardinality of the set of knots generated by one- and two-dimensional braids, Theor. Math. Phys., 120(2), 985-996 (1999)].
    33. A.M. Vershik, S. Nechaev, R. Bikbov, Statistical properties of braid groups in locally free approximation, math/9905190.
    34. S. Nechaev, Localization in a simple multichain catalytic absorption model, J. Phys. A 31 (8), 1965-1980 (1998); cond-mat/9707314.
    35. J. Desbois, S. Nechaev, Statistics of reduced words in locally free and braid groups: Abstract studies and applications to ballistic growth model, J. Phys. A 31(12), 2767-2789 (1998); cond-mat/9707121.
    36. A. Comtet, S. Nechaev, Random operator approach for word enumeration in braid groups, J. Phys. A 31(26), 5609-5630 (1998); cond-mat/9707120.
    37. G. Oshanin, S. Nechaev, A.M. Cazabat, M. Moreau, Kinetics of anchoring of polymer chains on substrates with chemically active sites, Phys. Rev. E 58 (5), 6134-6144 (1998); cond-mat/9807184.
    38. S.K. Nechaev, Problemy veroyatnostnoi topologii: statistika uzlov i nekommutativnykh sluchainykh bluzhdanii, Uspekhi fiz. nauk, 168 (4), 369-405 (1998) [S.K. Nechaev, Nechaev SK, Problems of probabilistic topology: statistics of knots and noncommutative random walks, Phys. Usp., 41(4), 313-347 (1998)].
    39. S. Nechaev, Statistics of knots and entangled random walks, Les Houches Session LXIX, 643-733 (1999) [Topological Aspects of Low Dimensional Systems: Les Houches summer school, July 7-31, 1998. Ed. by A. Comtet, T. Jolicoeur, S. Ouvry, F. David. Springer, 1999, xxxiv,911pp. ISBN 978-3-540-66909-8]; cond-mat/9812205.
    40. R. Bikbov, S. Nechaev, On the limiting power of set of knots generated by 1+1- and 2+1- braids, math/9807149.
    41. J. Desbois, S. Nechaev, Statistical mechanics of braided Markov chains: I. Analytic methods and numerical simulations, J. Stat. Phys., 88 (1-2), 201-229 (1997).
    42. M. Monastyrsky, S. Nechaev, Correlation functions for some conformal theories on Riemann surfaces, Mod. Phys. Lett. A 12 (9), 589-596 (1997); hep-th/9707121.
    43. S.K. Nechaev, A.Yu. Grosberg, A.M. Vershik, Random walks on braid groups: Brownian bridges, complexity and statistics, J. Phys. A 29(10), 2411-2433 (1996).
    44. A.R. Khokhlov, S.K. Nechaev, Topologically driven compatibility enhancement in the mixtures of rings and linear chains, J. Phys. II France, 6(11), 1547-1555 (1996).
    45. V. Tchijov, S. Nechaev, Rodriguez-S. Romo, Interface structure in colored DLA model, Pis’ma v ZhETF, 64 (7), 504-509 (1996) [JETP Lett., 64 (7), 549-555 (1996)].
    46. S.K. Nechaev, Statistics of Knots and Entangled Random Walks, World Scientific: Singapore, 1996, xiv+190 pp. ISBN: 978-981-02-2519-3.
    47. S. Nechaev, Statistical problems in knot theory and noncommutative random walks, STATPHYS 19: The 19th IUPAP International Conference on Statistical Physics, Xiamen, China, July 31-August 4, 1995, p. 45-55. Ed. by Hao Bailin, World Scientific, 1996, xiii+571 pp. ISBN: 9810223145.
    48. S. Nechaev, Yi-C. Zhang, Exact Solution of the 2D Wetting Problem in a Periodic Potential, Phys. Rev. Lett. 74(10), 1815-1818 (1995).
    49. S. Nechaev, A. Vershik, Random walks on multiconnected manifolds and conformal field theory, J. Phys. A 27 (7), 2289-2298 (1994).
    50. A. Grosberg, S. Izrailev, S. Nechaev, Phase transition in a heteropolymer chain at a selective interface, Phys. Rev. E 50 (3), 1912-1921 (1994).
    51. S. Nechaev, Nematic phase transition in entangled directed polymers, Pis’ma v ZhETF, 60 (4), 277-284 (1994) [JETP Lett., 60 (4), 291-299 (1994)].
    52. S.K. Nechaev, V.G. Rostiashvili, Polymer chain in a random array of topological obstacles : 1. Collapse of loops, J. Phys. II France, 3 (1), 91-104 (1993).
    53. V.G. Rostiashvili, S.K. Nechaev, T.A. Vilgis, Polymer chain in a random array of topological obstacles: Classification and statistics of complex loops, Phys. Rev. E 48 (5), 3314-3320 (1993).
    54. L.B. Koralov, S.K. Nechaev, Ya.G. Sinai, Predel’noe povedenie dvumernogo sluchainogo bluzhdaniya s topologicheskimi ogranicheniyami, Teor. veroyatn. i ee prim., 38(2), 331-344 (1993) [L.B. Koralov, S.K. Nechaev, Y.G. Sinai, Asymptotic-behavior of a 2-dimensional random-walk with topological constraints, Theor. Prob. Appl., 38 (2), 296-306 (1993)].
    55. A. Grosberg, S. Nechaev, Polymer topology, Advances in Polymer Science, Vol. 106, 1-29 (1993) [Polymer Characteristics, Springer, 1993. ISBN 978-3-540-56140-8].
    56. A. Grosberg, S. Nechaev, Averaged Kauffman Invariant and Quasi-Knot Concept for Linear Polymers, Europhys. Lett., 20 (7), 613-619 (1992).
    57. S.K. Nechaev, Ya.G. Sinai, Limiting-type theorem for conditional distributions of products of independent unimodular 2×2 matrices, Bull. Braz. Math. Soc. (Bol. Soc. Bras. Mat., Nova Sér.), 21(2), 121-132 (1991).
    58. L.B. Koralov, S.K. Nechaev, Ya.G. Sinai, Limiting probability distribution for a random walk with topological constraints, Chaos 1(2), 131-133 (1991).
    59. D.V. Khveshchenko, Ya.I. Kogan, S.K. Nechaev, Vortices in the lattice model of planar nematic, Int. J. Mod. Phys. B 5 (4), 647-657 (1991).
    60. S.K. Nechaev, Ya.G. Sinai, Scaling behavior of random walks with topological constraints, In: New trends in probability and statistics. Vol. 1, Proc. 23-th Bakuriani Colloq. in Honour of Yu. V. Prokhorov, Bakuriani, USSR 24 February - 4 March, 1990, 683-693 (1991). Sazonov, V.V.; Shervashidze, T.L. (eds.), Utrecht, Vilnius: VSP, Mokslas. xvi, 702 p. (1991). ISBN 90-6764-133-2.
    61. Ya.I. Kogan, S.K. Nechaev, D.V. Khveshchenko, Vikhri v reshetochnoi modeli dvumernogo nematika, ZhETF, 98 (5), 1847-1856 (1990) [Ya.I. Kogan, S.K. Nechaev, D.V. Khveshchenko, Vortices in a lattice model of a two-dimensional nematic, Sov. Phys. JETP 71(5), 1038-1042 (1990)].
    62. D.V. Khveshchenko, Ya.I. Kogan, S.K. Nechaev, Vortices in the lattice model of planar nematic, Preprint ITEP-90-77, SSCL-282, May 1990. 18pp.