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Large deviations for a reaction diffusion model
Authors:G. Jona-Lasinio  C. Landim  M. E. Vares
Affiliation:(1) Dipartimento di Fisica, Università di Roma "ldquo"La Sapienza"rdquo", Piazzale Aldo Moro 2, 1-00185 Roma, Italy;(2) Faculté de Sciences, LAMS de l'Université de Rouen, BP 118, F-76134 Mont-Saint-Aignan Cedex, France;(3) IMPA, Estrada Dona Castorina 110, J. Botânico, 22460 Rio de Janeiro, RJ, Brazil
Abstract:Summary We obtain large deviation estimates for the empirical measure of a class of interacting particle systems. These consist of a superposition of Glauber and Kawasaki dynamics and are described, in the hydrodynamic limit, by a reaction diffusion equation. We extend results of Kipnis, Olla and Varadhan for the symmetric exclusion process, and provide an approximation scheme for the rate functional. Some physical implications of our results are briefly indicated.
Keywords:60K35  82A05
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