1996
DOI: 10.1103/physrevlett.77.4334
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Extension of Onsager's Reciprocity to Large Fields and the Chaotic Hypothesis

Abstract: The fluctuation theorem (FT), the first derived consequence of the Chaotic Hypothesis (CH) of [1], can be considered as an extension to arbitrary forcing fields of the fluctuation dissipation theorem (FD) and the corresponding Onsager reciprocity (OR), in a class of reversible nonequilibrium statistical mechanical systems. 47.52.+j, 05.45.+b, 05.70.Ln, A typical system studied here will be N point particles subject to (a) mutual and external conservative forces with potential V ( q 1 , . . . , q N ), (b) exter… Show more

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Cited by 244 publications
(320 citation statements)
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“…close to equilibrium, the fluctuation relation leads to Onsager's reciprocity and to GreenKubo's formulas for transport coefficients [16,17]:…”
Section: Introductionmentioning
confidence: 99%
“…close to equilibrium, the fluctuation relation leads to Onsager's reciprocity and to GreenKubo's formulas for transport coefficients [16,17]:…”
Section: Introductionmentioning
confidence: 99%
“…This is the objective of the present work which shows that, in a statistical sense, the integration is provided by the recent developed fluctuation theorems (FTs) and Jarzynski-type equalities in NESS [7,8]. FTs were first developed in the context of microcanonical chaotic dynamical systems [9,10]. It has also been studied in parallel for stochastic canonical dynamics [11,12].…”
Section: Introductionmentioning
confidence: 94%
“…Then, the mean current is a sum of the equilibrium current (O(ǫ 0 )), the linear response (O(ǫ 1 )) (the Green-Kubo formula), and the non-linear responses (O(ǫ n ), n ≥ 2). This idea is originally due to Gallavotti [4]. Gallavotti's idea was applied to the master equation by Andrieux and Gaspard [11,12] to give the non-linear response.…”
Section: Nonlinear Responsementioning
confidence: 99%
“…In ref. [4], it was formulated as an extension of Onsager's reciprocity relation. Furthermore, the fluctuation theorem is not restricted to dynamical systems, and was also confirmed for the Langevin system [5], for general stochastic systems [6], and for the master equation [10,13].…”
Section: Introductionmentioning
confidence: 99%
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