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.
arXiv Mathematics e-prints
- Pub Date:
- February 2006
- Mathematics - Probability;
- Condensed Matter - Statistical Mechanics;
- Mathematical Physics;
- Extended version of the lectures given by G. Jona-Lasinio at the 9th Brazilian school of Probability, August 2005