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

Léonie Canet (1) , Bertrand Delamotte (1) , Olivier Deloubrière , Nicolas Wschebor

1 LPTHE - Laboratoire de Physique Théorique et Hautes Energies

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.

Domaines: Mécanique statistique [cond-mat.stat-mech]; Physique des Hautes Energies - Théorie [hep-th]

Léonie Canet, Bertrand Delamotte, Olivier Deloubrière, Nicolas Wschebor. Non Perturbative Renormalization Group study of reaction-diffusion processes and directed percolation. Physical Review Letters, 2004, 92, pp.195703. ⟨hal-00126087⟩