Current Fluctuations in Systems with Diffusive Dynamics, in and out of Equilibrium(Frontiers in Nonequilibrium Physics-Fundamental Theory, Glassy & Granular Materials, and Computational Physics-)
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概要
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For diffusive systems that can be described by fluctuating hydrodynamics and by the Macroscopic Fluctuation Theory of Bertini et al., the total current fluctuations display universal features when the system is closed and in equilibrium. When the system is taken out of equilibrium by a boundary-drive, current fluctuations, at least for a particular family of diffusive systems, display the same universal features as in equilibrium. To achieve this result, we exploit a mapping between the fluctuations in a boundary-driven nonequilibrium system and those in its equilibrium counterpart. Finally, we prove, for two well-studied processes, namely the Simple Symmetric Exclusion Process and the Kipnis-Marchioro-Presutti model for heat conduction, that the distribution of the current out of equilibrium can be deduced from the distribution in equilibrium. Thus, for these two microscopic models, the mapping between the out-of-equilibrium setting and the equilibrium one is exact.
- 2010-07-27
著者
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LECOMTE Vivien
Departement de Physique de la Matiere Condensee, Universite de Geneve
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IMPARATO Alberto
Department of Physics and Astronomy, University of Aarhus
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VAN WIJLAND
Laboratoire Matiere et Systemes Complexes (CNRS UMR 7057), Universite Paris Diderot
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Van Wijland
Laboratoire Matiere Et Systemes Complexes (cnrs Umr 7057) Universite Paris Diderot
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Lecomte Vivien
Departement De Physique De La Matiere Condensee Universite De Geneve:laboratoire De Probabilites Et
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Imparato Alberto
Department Of Physics And Astronomy University Of Aarhus
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Lecomte Vivien
Departement de Physique de la Matiere Condensee, Universite de Geneve:Laboratoire de Probabilites et Modeles Aleatoires (CNRS UMR 7599), Universite Paris Diderot
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- Current Fluctuations in Systems with Diffusive Dynamics, in and out of Equilibrium(Frontiers in Nonequilibrium Physics-Fundamental Theory, Glassy & Granular Materials, and Computational Physics-)