2007
DOI: 10.1088/1742-5468/2007/02/p02006
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A fluctuation theorem for currents and non-linear response coefficients

Abstract: We use a recently proved fluctuation theorem for the currents to develop the response theory of nonequilibrium phenomena. In this framework, expressions for the response coefficients of the currents at arbitrary orders in the thermodynamic forces or affinities are obtained in terms of the fluctuations of the cumulative currents and remarkable relations are obtained which are the consequences of microreversibility beyond Onsager reciprocity relations.

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Cited by 158 publications
(287 citation statements)
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“…They further predict that in fact the linear response matrix is proportional to the identity, so ) and the set of relations continues to arbitrary high orders. In this way hierarchies [15][16][17], which derive from microreversibility as reflected in the IFR, provide deep insights into nonlinear response theory for nonequilibrium systems (28).…”
Section: Resultsmentioning
confidence: 99%
“…They further predict that in fact the linear response matrix is proportional to the identity, so ) and the set of relations continues to arbitrary high orders. In this way hierarchies [15][16][17], which derive from microreversibility as reflected in the IFR, provide deep insights into nonlinear response theory for nonequilibrium systems (28).…”
Section: Resultsmentioning
confidence: 99%
“…On the technical level, we build on the recent derivation of a general fluctuation-dissipation theorem for NESSs [3][4][5][6]. By directly working in the NESS, our approach is complementary to work that invokes the fluctuation theorem for deriving non-linear response coefficients in higher order expansions around equilibrium [7,8]. Moreover, it goes beyond similar relations obtained for genuine diffusive spatial transport [9,10] since we require no Euclidean metric and hence the notion of a locally co-moving frame is not available.…”
Section: Institut Für Theoretische Physik Universität Stuttgartmentioning
confidence: 99%
“…The Hamiltonian does not contain the magnetic field and has the symmetry of eq. (12). We denote the whole phase space by S. S is S = S s c ×S s…”
Section: Preparationmentioning
confidence: 99%
“…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. In this section, we evaluate the linear response and non-linear response in the current for the case of the McLennan-Zubarev steady distribution.…”
Section: Nonlinear Responsementioning
confidence: 99%
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