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

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

2009-09-16

arxiv.org/abs/0909.2932v1

Chaos 20, 023111 (2010)

Physics

Condensed Matter

Statistical Mechanics

7 pages

Scientific paper

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.

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