Static and dynamical nonequilibrium fluctuations

Christian Maes; Karel Netočný

doi:10.1016/j.crhy.2007.05.003

Static and dynamical nonequilibrium fluctuations
[Fluctuations de non-équilibre statiques et dynamiques]

Christian Maes ¹ ; Karel Netočný ²

¹ Instituut voor Theoretische Fysica, K.U. Leuven, Celestijnenlaan 200D, B-3001 Leuven, Belgium
² Institute of Physics AS CR, Na Slovance 2, 182 21 Praha 8, Czech Republic

Comptes Rendus. Physique, Volume 8 (2007) no. 5-6, pp. 591-597.

Résumé
Abstract

Différentes notions de fluctuations existent selon la manière que l'on choisit de les mesurer. Nous discutons deux cas extrêmes (mesure continue versus temps longs entre les mesures) et nous montrons leur relations avec la production d'entropie et les taux d'échappement. Une explication simple du fait que l'entropie relative satisfait une équation d'Hamilton–Jacobi est ajoutée.

Various notions of fluctuations exist depending on the way one chooses to measure them. We discuss two extreme cases (continuous measurement versus long inter-measurement times) and we see their relation with entropy production and with escape rates. A simple explanation of why the relative entropy satisfies a Hamilton–Jacobi equation is added.

Reçu le : 2007-03-05
Publié le : 2007-06-01

DOI : 10.1016/j.crhy.2007.05.003

Keywords: Nonequilibrium fluctuations, Continuous measurement, Long inter-measurement time
Mot clés : Fluctuations de non-équilibre, Mesure continue, Temps longs entre les mesures

Affiliations des auteurs :

Christian Maes ¹ ; Karel Netočný ²

¹ Instituut voor Theoretische Fysica, K.U. Leuven, Celestijnenlaan 200D, B-3001 Leuven, Belgium
² Institute of Physics AS CR, Na Slovance 2, 182 21 Praha 8, Czech Republic

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     title = {Static and dynamical nonequilibrium fluctuations},
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Christian Maes; Karel Netočný. Static and dynamical nonequilibrium fluctuations. Comptes Rendus. Physique, Volume 8 (2007) no. 5-6, pp. 591-597. doi : 10.1016/j.crhy.2007.05.003. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2007.05.003/

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