Effects of Turbulent Mixing on the Critical Behavior

Details Effects of Turbulent Mixing on the Critical Behavior Effects of Turbulent Mixing on the Critical Behavior

2010-03-15

arxiv.org/abs/1003.2855v1

Physics of Particles and Nuclei 41 (2010) 998-1000

Physics

Condensed Matter

Statistical Mechanics

Talk given in the International Bogolyubov Conference "Problems of Theoretical and Mathematical Physics" (Moscow-Dubna, 21-27

Scientific paper

10.1134/S1063779610070026

Effects of strongly anisotropic turbulent mixing on the critical behavior are studied by means of the renormalization group. Two models are considered: the equilibrium model A, which describes purely relaxational dynamics of a nonconserved scalar order parameter, and the Gribov model, which describes the nonequilibrium phase transition between the absorbing and fluctuating states in a reaction-diffusion system. The velocity is modelled by the d-dimensional generalization of the random shear flow introduced by Avellaneda and Majda within the context of passive scalar advection. Existence of new nonequilibrium types of critical regimes (universality classes) is established.

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