Large deviations of the current in stochastic collisional dynamics

Abstract : We consider a class of deterministic local collisional dynamics, showing how to approximate them by means of stochastic models and then studying the fluctuations of the current of energy. We show first that the variance of the time-integrated current is finite and related to the conductivity by the Green-Kubo relation. Next we show that the law of the empirical average current satisfies a large deviations principle and compute explicitly the rate functional in a suitable scaling limit. We observe that this functional is not strictly convex.
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https://hal.archives-ouvertes.fr/hal-00504908
Contributeur : Lorenzo Zambotti <>
Soumis le : mercredi 21 juillet 2010 - 17:58:05
Dernière modification le : mercredi 12 octobre 2016 - 01:02:10

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  • HAL Id : hal-00504908, version 1
  • ARXIV : 1007.2664

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PMA | INSMI | UPMC | USPC

Citation

Raphael Lefevere, Mauro Mariani, Lorenzo Zambotti. Large deviations of the current in stochastic collisional dynamics. 2010. <hal-00504908>

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