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Critical behaviour of two systems, subjected to the turbulent mixing, is studied by means of the field theoretic renormalization group. The first system, described by the equilibrium model A, corresponds to relaxational dynamics of a…

统计力学 · 物理学 2011-11-15 N. V. Antonov , A. S. Kapustin , A. V. Malyshev

Critical behaviour of a system, subjected to strongly anisotropic turbulent mixing, is studied by means of the field theoretic renormalization group. Specifically, relaxational stochastic dynamics of a non-conserved multicomponent order…

统计力学 · 物理学 2012-06-11 N. V. Antonov , A. V. Malyshev

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 theoretic renormalization group approach. The turbulent…

统计力学 · 物理学 2020-07-14 N. V. Antonov , N. M. Gulitskiy , P. I. Kakin , M. M. Kostenko

Critical behaviour of a nearly critical system, subjected to vivid turbulent mixing, is studied by means of the field theoretic renormalization group. Namely, relaxational stochastic dynamics of a non-conserved order parameter of the…

统计力学 · 物理学 2015-03-20 N. V. Antonov , A. S. Kapustin

Critical behaviour of a fluid, subjected to strongly anisotropic turbulent mixing, is studied by means of the field theoretic renormalization group. As a simplified model, relaxational stochastic dynamics of a non-conserved scalar order…

统计力学 · 物理学 2008-11-26 N. V. Antonov , A. A. Ignatieva

We study effects of random fluid motion on a system in a self-organized critical state. The latter is described by the continuous stochastic model, proposed by Hwa and Kardar [{\it Phys. Rev. Lett.} {\bf 62}: 1813 (1989)]. The advecting…

统计力学 · 物理学 2016-02-11 N. V. Antonov , P. I. Kakin

We study a strongly anisotropic self-organized critical system coupled to an isotropic random fluid environment. The former is described by a continuous (coarse-grained) model due to Hwa and Kardar. The latter is modeled by the…

统计力学 · 物理学 2025-07-25 N. V. Antonov , P. I. Kakin , N. M. Lebedev , A. Yu. Luchin

Kinetic roughening of a randomly growing surface can be modelled by the Kardar-Parisi-Zhang equation with a time-independent (``spatially quenched'' or ``columnar'') random noise. In this paper, we use the field-theoretic renormalization…

统计力学 · 物理学 2023-12-15 N. V. Antonov , P. I. Kakin , M. A. Reiter

Dynamic critical behavior in superfluid systems is considered in a presence of external stirring and advecting processes. The latter are generated by means of the Gaussian random velocity ensemble with white-noise character in time variable…

统计力学 · 物理学 2020-08-19 Michal Dančo , Michal Hnatič , Tomáš Lučivjanský , Lukáš Mižišin

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 modelled by the stochastic Navier--Stokes equation, which includes…

统计力学 · 物理学 2025-02-18 N. V. Antonov , A. A. Babakin , N. M. Gulitskiy , P. I. Kakin

The field theoretic renormalization group and the operator product expansion are applied to two models of passive scalar quantities (the density and the tracer fields) advected by a random turbulent velocity field. The latter is governed by…

统计力学 · 物理学 2015-01-05 N. V. Antonov , M. M. Kostenko

Effects of strongly anisotropic turbulent mixing on the critical behavior are studied by means of the renormalization group. Two models are considered: the equilibrium model A, which describes purely relaxational dynamics of a nonconserved…

统计力学 · 物理学 2010-11-09 N. V. Antonov , A. A. Ignatieva , A. V. Malyshev

Critical behaviour of two systems, subjected to the turbulent mixing, is studied by means of the field theoretic renormalization group. The first system, described by the equilibrium model A, corresponds to relaxational dynamics of a…

统计力学 · 物理学 2010-09-22 N. V. Antonov , A. S. Kapustin

A system of stochastic differential equations for the velocity and density of a classical self-gravitating matter is investigated by means of the field theoretic renormalization group. The existence of two types of large-scale scaling…

天体物理学 · 物理学 2009-11-10 N. V. Antonov

The effects of a randomly moving environment on a randomly growing interface are studied by the field theoretic renormalization group analysis. The kinetic growth of an interface (kinetic roughening) is described by the Kardar-Parisi-Zhang…

统计力学 · 物理学 2020-01-28 N. V. Antonov , P. I. Kakin , N. M. Lebedev

The field theoretic renormalization group and the operator product expansion are applied to the model of passive vector (magnetic) field advected by a random turbulent velocity field. The latter is governed by the Navier--Stokes equation…

统计力学 · 物理学 2015-12-01 N. V. Antonov , M. M. Kostenko

The field theoretic renormalization group is applied to the stochastic Navier-Stokes equation with the stirring force correlator of the form k^(4-d-2\epsilon) in the d-dimensional space, in connection with the problem of construction of the…

混沌动力学 · 物理学 2023-10-10 L. Ts. Adzhemyan , N. V. Antonov , P. B. Gol'din , T. L. Kim , M. V. Kompaniets

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 renormalization group (RG). The scaling properties in this…

统计力学 · 物理学 2016-11-07 N. V. Antonov , N. M. Gulitskiy , M. M. Kostenko , T. Lučivjanský

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 this approach, scaling properties are related to the fixed…

统计力学 · 物理学 2017-04-21 N. V. Antonov , N. M. Gulitskiy , M. M. Kostenko , T. Lučivjanský

The single-species annihilation reaction $A + A \rightarrow\varnothing$ is studied in the presence of a random velocity field generated by the stochastic Navier-Stokes equation. The renormalization group is used to analyze the combined…

混沌动力学 · 物理学 2015-12-21 Michal Hnatič , Juha Honkonen , Tomáš Lučivjanský
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