Reaction-diffusion processes and non-perturbative renormalisation group

Details Reaction-diffusion processes and non-perturbative renormalisation group Reaction-diffusion processes and non-perturbative renormalisation group

2005-11-18

arxiv.org/abs/cond-mat/0511456v1

J. Phys. A: Math. Gen. 39 (2006) 7901-7912

Physics

Condensed Matter

Statistical Mechanics

14 pages, submitted to J. Phys. A for the proceedings of the conference 'Renormalization Group 2005', Helsinki

Scientific paper

10.1088/0305-4470/39/25/S07

This paper is devoted to investigating non-equilibrium phase transitions to an absorbing state, which are generically encountered in reaction-diffusion processes. It is a review, based on [Phys. Rev. Lett. 92, 195703; Phys. Rev. Lett. 92, 255703; Phys. Rev. Lett. 95, 100601], of recent progress in this field that has been allowed by a non-perturbative renormalisation group approach. We mainly focus on branching and annihilating random walks and show that their critical properties strongly rely on non-perturbative features and that hence the use of a non-perturbative method turns out to be crucial to get a correct picture of the physics of these models.

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