[Cumulants et grandes déviations du courant dans des états stationnaires hors équilibre]
En généralisant la relation de bilan détaillé à des systèmes maintenus hors équilibre par contact avec deux réservoirs à des températures ou à des densités différentes, nous retrouvons le théorème de fluctuations pour la fonction de grandes déviations du courant. Pour de grands systèmes diffusifs, nous montrons comment la fonction de grandes déviations du courant peut être calculée simplement à l'aide d'un principe d'additivité. La validité de ce principe d'additivité et l'existence de transitions de phase sont discutées dans le cadre d'une théorie des fluctuations à l'échelle macroscopique.
Using a generalisation of detailed balance for systems maintained out of equilibrium by contact with 2 reservoirs at unequal temperatures or at unequal densities, one can recover the fluctuation theorem for the large deviation function of the current. For large diffusive systems, we show how the large deviation function of the current can be computed using a simple additivity principle. The validity of this additivity principle and the occurrence of phase transitions are discussed in the framework of the macroscopic fluctuation theory.
Publié le :
Mot clés : Systèmes hors équilibre, Fluctuations du courant, Bilan détaillé généralisé
Thierry Bodineau 1 ; Bernard Derrida 2
@article{CRPHYS_2007__8_5-6_540_0,
author = {Thierry Bodineau and Bernard Derrida},
title = {Cumulants and large deviations of the current through non-equilibrium steady states},
journal = {Comptes Rendus. Physique},
pages = {540--555},
publisher = {Elsevier},
volume = {8},
number = {5-6},
year = {2007},
doi = {10.1016/j.crhy.2007.04.014},
language = {en},
}
TY - JOUR AU - Thierry Bodineau AU - Bernard Derrida TI - Cumulants and large deviations of the current through non-equilibrium steady states JO - Comptes Rendus. Physique PY - 2007 SP - 540 EP - 555 VL - 8 IS - 5-6 PB - Elsevier DO - 10.1016/j.crhy.2007.04.014 LA - en ID - CRPHYS_2007__8_5-6_540_0 ER -
Thierry Bodineau; Bernard Derrida. Cumulants and large deviations of the current through non-equilibrium steady states. Comptes Rendus. Physique, Volume 8 (2007) no. 5-6, pp. 540-555. doi : 10.1016/j.crhy.2007.04.014. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2007.04.014/
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Cité par Sources :
⁎ We thank H. Spohn for useful suggestions. We acknowledge the support of the ACI-NIM 168 Transport Hors Equilibre of the Ministère de l'Education Nationale, France.
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