The report will present a study on a model of columnar coherent vortex in rotating fluid, which flow is maintained by absorption of inertial waves coming from the periphery of the system. Concerning the large-scale vortex flow in a fast-rotating frame, the quasi-linear approximation is justified for such inhomogeneous turbulence theory, when inertial waves have a cumulative effect on the mean flow via Reynolds stress [1], and advection with the vortex flow of waves prevails over wave-wave interaction in their evolution. We study the maintaining of axisymmetric vortex by random incident inertial waves with short-wave statistics, also assuming that viscosity effects are weak. Under such conditions, the dominant mechanism of energy and angular momentum transfer to mean flow is resonant absorption of wave in the vicinity of its critical layer, which was studied in previous work [2]. Considering Reynolds shear stress averaged over the ensemble, we found analytical results for the vortex mean velocity profile, which were compared with experimental evidence [3].

[1] I.V. Kolokolov, L.L. Ogorodnikov, S.S. Vergeles, Phys. Rev. Fluids, 5, 034604 (2020).
[2] N.A. Ivchenko, S.S. Vergeles, Physics of Fluids 37, 126605 (2025).
[3] D.D. Tumachev, S.V. Filatov, S.S. Vergeles, and A.A. Levchenko. JETP Letters, 118: 426–432 (2023).

We investigate the correlation function of the intensity of a light beam with a very broad initial profile (in the plane wave limit) as it propagates through a turbulent atmosphere. We explicitly compute, to leading order, the irreducible part of the correlation function for various propagation distances and separations between observation points. The result for large separations exhibits universal power-law behavior, decaying in a power-law fashion for all propagation lengths. For small separations, the correction is independent of the distance between the points. For small distances (weak scintillation regime) it is small and grows according to a power law with increasing z; for large distances (strong scintillation regime) it is small and decreases according to a power law with increasing z; however, in the intermediate regime of moderate scintillations it becomes of order unity, and our expression for the first correction becomes inapplicable.