Numerical Investigation of Renormalization Group Equations in a Model of Advected Vector Field by Anisotropic Stochastic Environment

J Busa; Буша Я; E A Hayryan; Айрян Э А; E Jurcisinova; Юрчишинова Э; M Jurcisin; Юрчишин М; R Remecky; Ремецки Р

Numerical Investigation of Renormalization Group Equations in a Model of Advected Vector Field by Anisotropic Stochastic Environment

Authors: Busa J¹, Hayryan EA², Jurcisinova E³, Jurcisin M³, Remecky R³
Affiliations:
1. Technical University
2. Joint Institute for Nuclear Research
3. Institute of Experimental Physics
Issue: No 4 (2009)
Pages: 38-46
Section: Articles
URL: https://journals.rudn.ru/miph/article/view/8477

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Abstract

Using the field theoretic renormalization group the influence of strong uniaxial small-scale anisotropy on the stability of inertial-range scaling regimes in a model of passively advected transverse vector field by an incompressible turbulent flow is investigated. The velocity field is taken to have a Gaussian statistics with zero mean and defined noise with finite time correlations. It is shown that the inertial-range scaling regimes are given by the existence of infrared stable fixed points of the corresponding renormalization group equations with some angle integrals. The analysis of integrals is given. The problem is solved numerically and borderline spatial dimension below which the stability of the scaling regime is not present is found as a function of anisotropy parameters.

Keywords

anomalous scaling, passive advection, renormalization group

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Vol 31, No 4 (2023)

Numerical Investigation of Renormalization Group Equations in a Model of Advected Vector Field by Anisotropic Stochastic Environment

Full Text

Abstract

Keywords

About the authors

J Busa

E A Hayryan

E Jurcisinova

M Jurcisin

R Remecky

References

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