Effects of Turbulent Mixing on the Critical Behavior

Abstract

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.

Talk given in the International Bogolyubov Conference "Problems of Theoretical and Mathematical Physics" (Moscow-Dubna, 21-27 August 2009)

References in corpus (4)

• The Field Theory Approach to Percolation Processes
• Effects of mixing and stirring on the critical behavior
• Effects of turbulent mixing on the nonequilibrium critical behaviour
• Critical behaviour of a fluid in a random shear flow: Renormalization group analysis of a simplified model

Cited by in corpus (6)

• Passive advection of a vector field: Anisotropy, finite correlation time, exact solution and logarithmic corrections to ordinary scaling
• Effects of turbulent mixing on critical behaviour in the presence of compressibility: Renormalization group analysis of two models
• Effects of Turbulent Environment and Random Noise on Self-Organized Critical Behavior: Universality vs Nonuniversality
• Critical behaviour of the randomly stirred dynamical Potts model: Novel universality class and effects of compressibility
• Influence of turbulent mixing on critical behavior of directed percolation process : effect of compressibility
• Scaling behavior in interacting systems: joint effect of anisotropy and compressibility