Field theories and exact stochastic equations for interacting particle systems

Journal Article · Fri Sep 15 00:00:00 EDT 2006 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PHYSREVE.74.030101· OSTI ID:21072288

Andreanov, Alexei; Lefevre, Alexandre ^[1]; Biroli, Giulio ^[2]; Bouchaud, Jean-Philippe ^[2]

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1. Service de Physique Theorique, Orme des Merisiers-CEA Saclay, 91191 Gif sur Yvette Cedex (France)
2. Service de Physique de l'Etat Condense, Orme des Merisiers-CEA Saclay, 91191 Gif sur Yvette Cedex (France)

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.

• OSTI ID: 21072288
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 74, Issue 3; Other Information: DOI: 10.1103/PhysRevE.74.030101; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DENSITY
DIFFUSION
FIELD EQUATIONS
FIELD THEORIES
FLUCTUATIONS
NOISE
STOCHASTIC PROCESSES