Large deviation approach to non equilibrium processes in stochastic lattice gases

Lorenzo Bertini1, Alberto De Sole2, Davide Gabrielli3, Giovanni Jona-Lasinio4, Claudio Landim5,6
1Dipartimento di Matematica, Università di Roma “La Sapienza”, Roma, Italy
2Department of Mathematics, Harvard University, Cambridge, MA 02138, U.S.A.
3Dipartimento di Matematica, Università dell'Aquila, Coppito, L'Aquila, Italy
4Dipartimento di Fisica and INFN, Università di Roma La Sapienza, Roma, Italy
5IMPA, Rio de Janeiro, Brazil
6CNRS UMR 6085, Université de Rouen, Mont Saint Aignan, FRANCE

Tóm tắt

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.