Comptes Rendus
no. 5-6
Network and thermodynamic conditions for a single macroscopic current fluctuation theorem
[Conditions thermodynamique et de réseau du théorème de fluctuations pour un seul courant macroscopique]
David Andrieux1  ; Pierre Gaspard1
1 Center for Nonlinear Phenomena and Complex Systems, université libre de Bruxelles, code postal 231, campus plaine, B-1050 Brussels, Belgium
Comptes Rendus. Physique, Volume 8 (2007) no. 5-6, pp. 579-590.

Nous analysons les différentes situations où un théorème de fluctuations peut être démontré pour un seul courant macroscopique d'un système dans un état stationnaire de non-équilibre soutenant plusieurs processus de transport. Nous exprimons les conditions sous lesquelles un tel théorème de fluctuations tiendra en termes des cycles et des processus de transport sur le réseau. Dans ce cas, un courant macroscopique donné obéit à un théorème de fluctuations sans implication des autres processus de transport.

We analyse the different situations where a fluctuation theorem can be proved for a single macroscopic current of a system in a nonequilibrium steady state sustaining several transport processes. We express the conditions under which such a fluctuation theorem will hold in terms of the cycles and transport processes of the network. In this case, a given macroscopic current obeys a fluctuation theorem regardless of the other transport processes.

Reçu le :
Publié le :
DOI : 10.1016/j.crhy.2007.04.016
Keywords: Nonequilibrium steady state, Entropy production, Current fluctuations, Thermodynamic forces, Fluctuation theorem
Mot clés : État stationnaire de non-équilibre, Production d'entropie, Fluctuations de courant, Forces thermodynamiques, Théorème de fluctuations
David Andrieux 1 ; Pierre Gaspard 1

1 Center for Nonlinear Phenomena and Complex Systems, université libre de Bruxelles, code postal 231, campus plaine, B-1050 Brussels, Belgium 
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David Andrieux; Pierre Gaspard. Network and thermodynamic conditions for a single macroscopic current fluctuation theorem. Comptes Rendus. Physique, Volume 8 (2007) no. 5-6, pp. 579-590. doi : 10.1016/j.crhy.2007.04.016. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2007.04.016/

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