TY - JOUR

T1 - The effect of strongly anisotropic turbulent mixing on critical behavior: Renormalization group analysis of two nonstandard systems

AU - Antonov, N.V.

AU - Malyshev, A.V.

PY - 2011

Y1 - 2011

N2 - We consider the effect of strongly anisotropic turbulent mixing on the critical behavior of two systems: a φ 3 critical dynamics model describing universal properties of metastable states in the vicinity of a firstorder 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. __________ Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 167, No. 1, pp. 50–77, April, 2011.

AB - We consider the effect of strongly anisotropic turbulent mixing on the critical behavior of two systems: a φ 3 critical dynamics model describing universal properties of metastable states in the vicinity of a firstorder 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. __________ Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 167, No. 1, pp. 50–77, April, 2011.

KW - critical behavior – turbulent mixing – renormalization group

U2 - 10.1007/s11232-011-0034-x

DO - 10.1007/s11232-011-0034-x

M3 - статья

VL - 167

SP - 444

EP - 467

JO - Theoretical and Mathematical Physics (Russian Federation)

JF - Theoretical and Mathematical Physics (Russian Federation)

SN - 0040-5779

IS - 1

ER -