Publication : t06/033
Field theories and exact stochastic equations for interacting particle systems
Andreanov A. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)Biroli G. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)
Bouchaud J.-P. (CEA, IRAMIS, SPEC (Service de Physique de lEtat Condensé), F-91191 Gif-sur-Yvette, FRANCE)
Lefèvre A. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)
Abstract:Année de publication : 2006
We present a new approach to 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 non-equilibrium systems in the hydrodynamic limit.
Revue : Phys. Rev. E 74 030101(R) (2006)
DOI : 10.1103/PhysRevE.74.030101
Preprint : arXiv:cond-mat/0602307
Lien : http://link.aps.org/abstract/PRE/v74/p030101
Numéro Exterieur : SPEC-S06/014
Langue : Anglais
NB : 74, 030101(R) (2006) [Rapid Commun.]
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