论文信息 - Large deviations for a reaction diffusion model

Large deviations for a reaction diffusion model

SummaryWe 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.

[1] Errico Presutti,et al. The weakly asymmetric simple exclusion process , 1989 .

[2] S. Varadhan. Large Deviations and Applications , 1984 .

[3] Stefano Olla,et al. Hydrodynamics and large deviation for simple exclusion processes , 1989 .

[4] L. Onsager. Reciprocal Relations in Irreversible Processes. II. , 1931 .

[5] C. Landim,et al. Occupation Time Large Deviations for the Symmetric Simple Exclusion Process , 1992 .

[6] George Papanicolaou,et al. Nonlinear diffusion limit for a system with nearest neighbor interactions , 1988 .

[7] Lars Onsager,et al. Fluctuations and Irreversible Processes , 1953 .

[8] Pablo A. Ferrari,et al. Reaction-diffusion equations for interacting particle systems , 1986 .

[9] S. Varadhan,et al. Asymptotic evaluation of certain Markov process expectations for large time , 1975 .

[10] Karl Oelschläger,et al. A law of large numbers for moderately interacting diffusion processes , 1985 .

[11] Alessandro Pellegrinotti,et al. Transient bimodality in interacting particle systems , 1989 .

[12] Stochastic reaction diffusion equations and interacting particle systems , 1991 .