This article is cited in 5 papers

The effect of strongly anisotropic turbulent mixing on critical behavior: Renormalization group analysis of two nonstandard systems

N. V. Antonov, A. V. Malyshev

Fock Institute of Physics, St.~Petersburg State University, St.~Petersburg, Russia

Abstract: We consider the effect of strongly anisotropic turbulent mixing on the critical behavior of two systems: a $\varphi^{3}$ critical dynamics model describing universal properties of metastable states in the vicinity of a first-order phase transition and a reaction–diffusion system near the point of a second-order transition between fluctuation and absorption states (a simple epidemic process or the Gribov process). In both cases, we demonstrate the existence of a new strongly nonequilibrium, anisotropic scaling regime (universality class) for which both the mixing and the nonlinearity in the order parameter are relevant. We evaluate the corresponding critical dimensions in the one-loop approximation of the renormalization group.

Keywords: critical behavior, turbulent mixing, renormalization group.

Received: 16.06.2010
Revised: 15.10.2010

DOI: 10.4213/tmf6625

 English version: Theoretical and Mathematical Physics, 2011, 167:1, 444–467

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