Large deviation approach to non equilibrium processes in stochastic lattice gases

Details Large deviation approach to non equilibrium processes in stochastic lattice gases Large deviation approach to non equilibrium processes in stochastic lattice gases

2006-02-24

arxiv.org/abs/math/0602557v1

Bull Braz Math Soc, New Series (2006) 37, 611-643

Mathematics

Probability

Extended version of the lectures given by G. Jona-Lasinio at the 9th Brazilian school of Probability, August 2005

Scientific paper

We present a review of recent work on the statistical mechanics of non equilibrium processes based on the analysis of large deviations properties of microscopic systems. Stochastic lattice gases are non trivial models of such phenomena and can be studied rigorously providing a source of challenging mathematical problems. In this way, some principles of wide validity have been obtained leading to interesting physical consequences.

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