Nonperturbative renormalization-group study of reaction-diffusion processes.
We generalize nonperturbative renormalization group methods to nonequilibrium critical phenomena. Within this formalism, reaction-diffusion processes are described by a scale-dependent effective action, the flow of which is derived. We investigate branching and annihilating random walks with an odd number of offspring. Along with recovering their universal physics (described by the directed percolation universality class), we determine their phase diagrams and predict that a transition occurs even in three dimensions, contrarily to what perturbation theory suggests.
Canet
Léonie
L
Laboratoire de Physique Théorique et Hautes Energies, Universités Paris VI Pierre et Marie Curie, Paris VII Denis Diderot, 2 place Jussieu, 75251 Paris Cedex 05, France.
Delamotte
Bertrand
B
Deloubrière
Olivier
O
Wschebor
Nicolas
N
D004058:Diffusion; D007700:Kinetics; D008962:Models, Theoretical; D009010:Monte Carlo Method