Fluctuation theorem, nonlinear response, and the regularity of time reversal symmetry

2009/09/16 by Marcello Porta
Physics and Astronomy · #Chaos control and synchronization #Differentiable function #Generalization #Nonlinear system #Operator (biology) #Quantum Mechanics and Applications #Simple (philosophy) #Symmetry (geometry) #T-symmetry #cond-mat.stat-mech #stochastic dynamics and bifurcation

paper · pdf · doi:10.1063/1.3396283

published as Chaos 20, 023111 (2010) · 7 pages

arxiv created 2009/09/16 · openalex publication_date 2010/05/29 · arxiv updated 2015/05/14 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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.

Citations

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