Berlin 2005 – scientific programme
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SYRS: Renormalization and Scaling
SYRS 2: SYRS II
SYRS 2.1: Invited Talk
Saturday, March 5, 2005, 10:30–11:00, TU H3010
Reaction-diffusion processes: the non perturbative renormalization group approach — •Bertrand Delamotte1 and Leonie Canet2 — 1Laboratoire de Physique Theorique des Liquides, University Paris VI, 4 Pl. Jussieu, 75252, Paris Cedex 05, France — 2Department of Physics and Astronomy, University of Manchester, Manchester M13 9PL, U.K.
Non perturbative phenomena play often a prominent role in equilibrium and out of equilibrium phase transitions. The reason is twofold: either these transitions correspond to the strong coupling regime of the field theories describing them or genuinely non perturbative excitations (topological defects, bound states, etc) drive the transition. In both cases, using perturbation theory becomes problematic. We describe on the example of reaction-diffusion processes how the non perturbative renormalization group formalism can be implemented for out of equilibrium systems. We show how to determine both universal and non universal properties (phase diagrams) of some branching and annihilating random walks in all dimensions.