FM 10-09; arXiv:0909.2932;

Author : Marcello Porta

Title: Fluctuation Theorem, non linear response and the regularity of time reversal symmetry

Abstract: The Gallavotti - Cohen Fluctuation Theorem (FT) implies an infinite set of identities between correlation functions that can be seen as a generalization of Green Kubo formula to the nonlinear regime. As an application, we discuss a perturbative check of the FT relation through these identities for a simple Anosov reversible system; we find that the lack of differentiability of the time reversal symmetry implies a violation of the Gallavotti - Cohen fluctuation relation. Finally, a brief comparison with Lebowitz - Spohn FT is reported.

Keywords: nonequilibrium, fluctuation theorem, non linear response.

Marcello Porta,
Dipartimento di Fisica,
Universita' di Roma "La Sapienza",
Piazzale Aldo Moro 2, 00185 Roma, Italy
marcello.porta@roma1.infn.it