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A quantum field model that incorporates Bose-condensed systems near their phase transition into a superfluid phase and velocity fluctuations is proposed. The stochastic Navier-Stokes equation is used for a generation of the velocity…

统计力学 · 物理学 2016-01-13 M. Dančo , M. Hnatič , M. V. Komarova , T. Lučivjanský , M. Yu. Nalimov

The renormalization group method is applied in order to analyze models E and F of critical dynamics in the presence of velocity fluctuations generated by the stochastic Navier-Stokes equation. Results are given to the one-loop approximation…

统计力学 · 物理学 2017-05-08 M. Dančo , M. Hnatič , M. V. Komarova , T. Lučivjanský , M. Yu. Nalimov

The field theoretic renormalization group is applied to the stochastic Navier--Stokes equation that describes fully developed fluid turbulence. The complete two-loop calculation of the renormalization constant, the $\beta$ function, the…

混沌动力学 · 物理学 2009-11-07 L. Ts. Adzhemyan , N. V. Antonov , M. V. Kompaniets , A. N. Vasil'ev

The field theoretic renormalization group is applied to the stochastic Navier--Stokes equation that describes fully developed fluid turbulence. The complete two-loop calculation of the renormalization constant, the beta function and the…

混沌动力学 · 物理学 2007-05-23 L. Ts. Adzhemyan , N. V. Antonov , M. V. Kompaniets , A. N. Vasil'ev

We develop the exact renormalization group approach as a way to evaluate the effective speed of propagation of a scalar wave in a medium with random inhomogeneities. We use the Martin-Siggia-Rose formalism to translate the problem into a…

无序系统与神经网络 · 物理学 2017-08-02 Federico Lamagna , Esteban Calzetta

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

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

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

Stochastic dynamics of a nonconserved scalar order parameter near its critical point, subject to random stirring and mixing, is studied using the field theoretic renormalization group. The stirring and mixing are modelled by a random…

统计力学 · 物理学 2009-11-11 N. V. Antonov , M. Hnatich , J. Honkonen

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 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

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

We study the scaling behaviors of the active model B+ using the functional renormalization group (FRG) approach, based on the nonequilibrium effective action formulated via the Martin-Siggia-Rose path-integral formalism. We derive the…

统计力学 · 物理学 2026-01-28 Gergely Fejős , Zsolt Szép , Naoki Yamamoto

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 asymptotic behavior of fully developed turbulence is studied by…

统计力学 · 物理学 2018-03-05 N. V. Antonov , N. M. Gulitskiy , M. M. Kostenko , A. V. Malyshev

Using perturbative renormalization group we investigate the influence of random velocity field on the critical behavior of directed bond percolation process near its second-order phase transition between absorbing and active phase.…

混沌动力学 · 物理学 2016-08-25 M. Dančo , M. Hnatič , T. Lučivjanský , L. Mižišin

Using the renormalization group method, new type of fluctuation-driven first order phase transitions and critical phenomena are predicted for certain classes of ferromagnetic superconductors and superfluids with unconventional…

超导电性 · 物理学 2008-08-08 Dimo I. Uzunov

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

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 reconsider the functional renormalization-group (FRG) approach to decaying Burgers turbulence, and extend it to decaying Navier-Stokes and Surface-Quasi-Geostrophic turbulence. The method is based on a renormalized small-time expansion,…

混沌动力学 · 物理学 2013-04-10 Andrei A. Fedorenko , Pierre Le Doussal , Kay Joerg Wiese

We study the renormalization group flow of the average action of the stochastic Navier--Stokes equation with power-law forcing. Using Galilean invariance we introduce a non-perturbative approximation adapted to the zero frequency sector of…

统计力学 · 物理学 2015-06-04 Carlos Mejía-Monasterio , Paolo Muratore-Ginanneschi
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