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 operator implies a violation of the Gallavotti-Cohen fluctuation relation. Finally, a brief comparison to Lebowitz-Spohn FT is reported. (C) 2010 American Institute of Physics. [doi:10.1063/1.3396283]

Fluctuation theorem, non linear response and the regularity of time reversal symmetry / Porta, M. - In: CHAOS. - ISSN 1054-1500. - 20:2(2010), pp. 1-5. [10.1063/1.3396283]

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

Porta M
2010-01-01

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 operator implies a violation of the Gallavotti-Cohen fluctuation relation. Finally, a brief comparison to Lebowitz-Spohn FT is reported. (C) 2010 American Institute of Physics. [doi:10.1063/1.3396283]
20
2
1
5
023111
https://arxiv.org/abs/0909.2932
Porta, M
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/122493
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