32 citations · 239 across the 19 of their papers we have counts for
19 papers
Random Walk on a Random Surface: Implications of Non-perturbative Concepts and Dynamical Emergence of Galilean Symmetry
N. V. Antonov, N. M. Gulitskiy, P. I. Kakin +1
We study a model of random walk on a fluctuating rough surface using the field-theoretic renormalization group (RG). The surface is modelled by the well-known Kardar--Parisi--Zhang…
Field Theoretic Renormalization Group in an Infinite-Dimensional Model of Random Surface Growth in Random Environment
N. V. Antonov, A. A. Babakin, N. M. Gulitskiy +1
The influence of a random environment on the dynamics of a fluctuating rough surface is investigated using a field theoretic renormalization group. The environment motion is modell…
Random Walk on a Rough Surface: Renormalization Group Analysis of a Simple Model
N. V. Antonov, N. M. Gulitskiy, P. I. Kakin +1
The field theoretic renormalization group is applied to a simple model of random walk on a rough fluctuating surface. We consider the Fokker--Planck equation for a particle in a un…
Dimensional transmutation and nonconventional scaling behaviour in a model of self-organized criticality
N. V. Antonov, N. M. Gulitskiy, P. I. Kakin +1
The paper addresses two unusual scaling regimes (types of critical behaviour) predicted by the field-theoretic renormalization group analysis for a self-organized critical system w…
Effects of turbulent environment on self-organized critical behavior: Isotropy vs Anisotropy
N. V. Antonov, N. M. Gulitskiy, P. I. Kakin +1
We study a self-organized critical system under influence of turbulent motion of the environment. The system is described by the anisotropic continuous stochastic equation proposed…
Effects of Turbulent Environment and Random Noise on Self-Organized Critical Behavior: Universality vs Nonuniversality
N. V. Antonov, N. M. Gulitskiy, P. I. Kakin +1
Self-organized criticality in the Hwa-Kardar model of "running sandpile" [Phys. Rev. A 45, 7002 (1992)] with a turbulent motion of the environment taken into account is studied wit…
Effects of turbulent environment on the surface roughening: The Kardar-Parisi-Zhang model coupled to the stochastic Navier-Stokes equation
N. V. Antonov, N. M. Gulitskiy, P. I. Kakin +1
The Kardar-Parisi-Zhang model of non-equilibrium critical behaviour (kinetic surface roughening) with turbulent motion of the environment taken into account is studied by the field…
Advection by Compressible Turbulent Flows: Renormalization Group Study of Vector and Tracer Admixture
N. V. Antonov, N. M. Gulitskiy, M. M. Kostenko +1
Advection-diffusion problems of magnetic field and tracer field are analyzed using the field theoretic perturbative renormalization group. Both advected fields are considered to be…
Stochastic Navier-Stokes equation for a compressible fluid: two-loop approximation
M. Hnatič, N. M. Gulitskiy, T. Lučivjanský +2
A model of fully developed turbulence of a compressible fluid is briefly reviewed. It is assumed that fluid dynamics is governed by a stochastic version of Navier-Stokes equation.…
Passive advection of a vector field: effects of strong compressibility
Nikolay V. Antonov, Nikolay M. Gulitskiy, Maria M. Kostenko +1
The field theoretic renormalization group and the operator product expansion are applied to the stochastic model of a passively advected vector field. The advecting velocity field…
Stochastic Navier-Stokes equation and advection of a tracer field: One-loop renormalization near
N. V. Antonov, N. M. Gulitskiy, M. M. Kostenko +1
The renormalization group approach and the operator product expansion technique are applied to the model of a tracer field advected by the Navier-Stokes velocity ensemble for a com…
Statistical symmetry restoration in fully developed turbulence: Renormalization group analysis of two models
N. V. Antonov, N. M. Gulitskiy, M. M. Kostenko +1
In this paper we consider the model of incompressible fluid described by the stochastic Navier-Stokes equation with finite correlation time of a random force. Inertial-range asympt…
Advection of a passive scalar field by turbulent compressible fluid: renormalization group analysis near
N. V. Antonov, N. M. Gulitskiy, M. M. Kostenko +1
The field theoretic renormalization group (RG) and the operator product expansion (OPE) are applied to the model of a density field advected by a random turbulent velocity field. T…
Renormalization group analysis of a turbulent compressible fluid near : Crossover between local and non-local scaling regimes
N. V. Antonov, N. M. Gulitskiy, M. M. Kostenko +1
We study scaling properties of the model of fully developed turbulence for a compressible fluid, based on the stochastic Navier-Stokes equation, by means of the field theoretic ren…
Turbulent compressible fluid: renormalization group analysis, scaling regimes, and anomalous scaling of advected scalar fields
N. V. Antonov, N. M. Gulitskiy, M. M. Kostenko +1
We study a model of fully developed turbulence of a compressible fluid, based on the stochastic Navier-Stokes equation, by means of the field theoretic renormalization group. In th…
Passive advection of a vector field: Anisotropy, finite correlation time, exact solution and logarithmic corrections to ordinary scaling
N. V. Antonov, N. M. Gulitskiy
In this work we study the generalization of the problem, considered in [{\it Phys. Rev. E} {\bf 91}, 013002 (2015)], to the case of {\it finite} correlation time of the environment…
Logarithmic violation of scaling in strongly anisotropic turbulent transfer of a passive vector field
N. V. Antonov, N. M. Gulitskiy
Inertial-range asymptotic behavior of a vector (e.g., magnetic) field, passively advected by a strongly anisotropic turbulent flow, is studied by means of the field theoretic renor…
Anomalous scaling and large-scale anisotropy in magnetohydrodynamic turbulence: Two-loop renormalization-group analysis of the Kazantsev--Kraichnan kinematic model
N. V. Antonov, N. M. Gulitskiy
The field theoretic renormalization group and operator product expansion are applied to the Kazantsev--Kraichnan kinematic model for the magnetohydrodynamic turbulence. The anomalo…
Two-Loop Calculation of the Anomalous Exponents in the Kazantsev--Kraichnan Model of Magnetic Hydrodynamics
N. V. Antonov, N. M. Gulitskiy
The problem of anomalous scaling in magnetohydrodynamics turbulence is considered within the framework of the kinematic approximation, in the presence of a large-scale background m…