An Interdisciplinary Journal

* 2017, Vol.20, No.3, pp. 238 - 248*

Application of the field theoretic renormalization group techniques as developed within
high energy physics is demonstrated on a problem from the classical Newtonian physics.
As an example, we consider the general *A* model of the passive vector advected by the fully
developed turbulent velocity field with violation of spatial parity introduced via a continuous
parameter ρ. We explicitly demonstrate that the presence of helicity exerts a stabilizing effect
onto the possible stationary regimes of the system. Applying the RG techniques, we show that
interaction parameter *A* exerts strong influence on advection diffusion processes in turbulent
environments with broken spatial parity and identify internal structure of interactions given
by the parameter *A*, and not the vector character of the admixture itself being the dominant
factor influencing diffusion advection processes in the helical *A* model

*Key words: *
running coupling, stochastic dynamics

Full text: Acrobat PDF (553 KB)

Copyright © Nonlinear Phenomena in Complex Systems.
Last updated: *November 17, 2017*