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Non Perturbative Renormalization Group study of reaction-diffusion processes and directed percolation

By Léonie Canet, Bertrand Delamotte, Olivier Deloubrière and Nicolas Wschebor

Abstract

4 pages, 1 figure, published version (discussion and figure modified)We investigate non-equilibrium critical phenomena using a nonperturbative renormalization group method. Reaction-diffusion processes are described by a scale dependent effective action which evolution is governed by very generic flow equations, that are derived. They allow to recover the critical exponents of directed percolation, and moreover to calculate the microscopic reaction rates which give rise to a phase transition in the case of branching and annihilating random walks with odd number of offsprings, even in three dimensions

Topics: [PHYS.COND.CM-SM] Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech], [PHYS.HTHE] Physics [physics]/High Energy Physics - Theory [hep-th]
Publisher: American Physical Society
Year: 2004
OAI identifier: oai:HAL:hal-00126087v1
Provided by: Hal-Diderot
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