Dynamics of interacting particle systems: stochastic process and field theory

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dc.creatorlefevre, Alexandre
dc.creatorBiroli, Giulio
dc.date2007-09-10
dc.date.accessioned2026-07-07T11:37:03Z
dc.date.available2026-07-07T11:37:03Z
dc.descriptionWe present an approach to the dynamics of interacting particle systems, which allows to derive path integral formulas from purely stochastic considerations. We show that the resulting field theory is a dual version of the standard theory of Doi and Peliti. This clarify both the origin of the Cole-Hopf map between the two approaches and the occurence of imaginary noises in effective Langevin equations for reaction-diffusion systems. The advantage of our approach is that it focuses directly on the density field. We show some applications, in particular on the Zero Range Process, hydrodynamic limits and large deviation functional.
dc.descriptionArticle for the special issue of J Stat Mech on "Dynamics of Non Equilibrium Systems"
dc.identifierhttps://arxiv.org/abs/0709.1325
dc.identifierhttp://arxiv.org/abs/0709.1325
dc.identifierJ.Stat.Mech.0707:P07024,2007
dc.identifierdoi:10.1088/1742-5468/2007/07/P07024
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/199074
dc.subjectStatistical Mechanics
dc.titleDynamics of interacting particle systems: stochastic process and field theory
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