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

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

2003-09-22

arxiv.org/abs/cond-mat/0309504v3

Phys.Rev.Lett.92:195703,2004

Physics

Condensed Matter

Statistical Mechanics

4 pages, 1 figure, published version (discussion and figure modified)

Scientific paper

10.1103/PhysRevLett.92.195703

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.

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