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arXiv · 1603.00310

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

N. V. Antonov·M. Hnatich·A. S. Kapustin·T. Lučivjanský·L. Mižišin
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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.

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N. V. Antonov, M. Hnatich, A. S. Kapustin, T. Lučivjanský, L. Mižišin. 2016-03-01. Gribov process advected by the synthetic compressible velocity ensemble: Renormalization Group Approach. https://doi.org/10.1134/s0040577917030023

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