Gribov process advected by the synthetic compressible velocity ensemble: Renormalization Group Approach

Abstract

The direct bond percolation process (Gribov process) is studied in the presence of irrotational velocity fluctuations with long-range correlations. The perturbative renormalization group is employed in order to analyze the effects of finite correlation time on the long-time behavior of the phase transition between an active and an ab- sorbing state. The calculation is performed to the one-loop order. Stable fixed points of the renormalization group and their regions of stability are obtained within the three-parameter $(\epsilon ,y,\eta )$- expansion. Different regimes corresponding to the rapid- change limit and frozen velocity field are discussed.

Talk presented at the International Conference "Models in Quantum Field Theory V" 2015, 13 pages, 4 Tables, 3 Figures

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• Directed percolation criticality in turbulent liquid crystals
• Non-equilibrium Phase Transitions with Long-Range Interactions
• Population genetics in compressible flows
• Effects of turbulent mixing on the nonequilibrium critical behaviour
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Cited by in corpus (1)

• Active-to-absorbing phase transition subjected to the velocity fluctuations in the frozen limit case