LARGE DEVIATIONS FOR A REACTION-DIFFUSION MODEL

Citation
G. Jonalasinio et al., LARGE DEVIATIONS FOR A REACTION-DIFFUSION MODEL, Probability theory and related fields, 97(3), 1993, pp. 339-361
Citations number
17
Categorie Soggetti
Statistic & Probability","Statistic & Probability
ISSN journal
01788051
Volume
97
Issue
3
Year of publication
1993
Pages
339 - 361
Database
ISI
SICI code
0178-8051(1993)97:3<339:LDFARM>2.0.ZU;2-M
Abstract
We obtain large deviation estimates for the empirical measure of a cla ss of interacting particle systems. These consist of a superposition o f 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 implicati ons of our results are briefly indicated.