Stationary state fluctuation theorems for driven Langevin systems

E.G.D. Cohen; Ramses van Zon

doi:10.1016/j.crhy.2007.04.009

Stationary state fluctuation theorems for driven Langevin systems
[Théorèmes de fluctuations dans l'état stationnaire pour les systèmes de Langevin entraînés]

E.G.D. Cohen ¹ ; Ramses van Zon ^1,²

¹ The Rockefeller University, 1230 York Avenue, New York, NY 10021-6399, USA
² Chemical Physics Theory Group, Department of Chemistry, University of Toronto, 80 St. George St., Toronto, ON M5S 1A1, Canada

Comptes Rendus. Physique, Work, dissipation, and fluctuations in nonequilibrium physics, Volume 8 (2007) no. 5-6, pp. 507-517.

Abstract (VO)
Résumé

Recent results on the stationary state Fluctuation Theorems for work and heat fluctuations of Langevin systems are presented. The relevance of finite time corrections in understanding experimental and simulation results is explained in the context of an exactly solvable model, namely a Brownian particle in a harmonic potential, which is dragged through the surrounding fluid. In this model, work fluctuations obey the conventional form of the fluctuation theorem while heat fluctuations satisfy an extended form. The connection with other work in recent literature is pointed out, and further generalizations are suggested.

Des résultats récents sont présentés sur les théorèmes de fluctuations dans l'état stationnaire pour les fluctuations du travail et de la chaleur dans les systèmes de Langevin. L'importance des corrections de temps fini pour comprendre les résultats expérimentaux et de simulations est expliquée dans le contexte d'un modèle exactement soluble, à savoir une particule brownienne dans un potentiel harmonique qui est entraînée dans le fluide environnant. Dans ce modèle, les fluctuations du travail obéissent à la forme conventionnelle du théorème de fluctuations alors que les fluctuations de chaleur satisfont une forme étendue. La connexion à d'autres travaux de la littérature récente est mise en évidence et des généralisations ultérieures sont suggérées.

Révisé le : 2007-03-09
Publié le : 2007-06-01

DOI : 10.1016/j.crhy.2007.04.009

Keywords: Fluctuation theorems, Langevin systems
Mots-clés : Théorèmes de fluctuations, Systèmes de Langevin

Affiliations des auteurs :

E.G.D. Cohen ¹ ; Ramses van Zon ^{1, 2}

¹ The Rockefeller University, 1230 York Avenue, New York, NY 10021-6399, USA
² Chemical Physics Theory Group, Department of Chemistry, University of Toronto, 80 St. George St., Toronto, ON M5S 1A1, Canada

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     title = {Stationary state fluctuation theorems for driven {Langevin} systems},
     journal = {Comptes Rendus. Physique},
     pages = {507--517},
     publisher = {Elsevier},
     volume = {8},
     number = {5-6},
     year = {2007},
     doi = {10.1016/j.crhy.2007.04.009},
     language = {en},
}

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E.G.D. Cohen; Ramses van Zon. Stationary state fluctuation theorems for driven Langevin systems. Comptes Rendus. Physique, Work, dissipation, and fluctuations in nonequilibrium physics, Volume 8 (2007) no. 5-6, pp. 507-517. doi : 10.1016/j.crhy.2007.04.009. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2007.04.009/

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