Field theories and exact stochastic equations for interacting particle systems.
We consider the dynamics of interacting particles with reaction and diffusion. Starting from the underlying discrete stochastic jump process we derive a general field theory describing the dynamics of the density field, which we relate to an exact stochastic equation on the density field. We show how our field theory maps onto the original Doi-Peliti formalism, allowing us to clarify further the issue of the "imaginary" Langevin noise that appears in the context of reaction-diffusion processes. Our procedure applies to a wide class of problems and is related to large deviation functional techniques developed recently to describe fluctuations of nonequilibrium systems in the hydrodynamic limit.
Andreanov
Alexei
A
Service de Physique Théorique, Orme des Merisiers-CEA Saclay, 91191 Gif sur Yvette Cedex, France.
Biroli
Giulio
G
Bouchaud
Jean-Philippe
JP
Lefèvre
Alexandre
A