Extreme current fluctuations of boundary-driven systems in the large-N limit

Abstract : Current fluctuations in boundary-driven diffusive systems are, in many cases, studied using hydrodynamic theories. Their predictions are then expected to be valid for currents which scale inversely with the system size. To study this question in detail, we introduce a class of large -N models of one-dimensional boundary-driven diffusive systems, whose current large deviation functions are exactly derivable for any finite number of sites. Surprisingly, we find that for some systems the predictions of the hydrodynamic theory may hold well beyond their naive regime of validity. Specifically, we show that, while a symmetric partial exclusion process exhibits non-hydrodynamic behaviors sufficiently far beyond the naive hydrodynamic regime, a symmetric inclusion process is well described by the hydrodynamic theory for arbitrarily large currents. We conjecture, and verify for zero-range processes, that the hydrodynamic theory captures the statistics of arbitrarily large currents for all models where the mobility coefficient as a function of density is unbounded from above. In addition, for the large-N models, we prove the additivity principle under the assumption that the large deviation function has no discontinuous transitions.
Type de document :
Article dans une revue
Journal of Statistical Mechanics: Theory and Experiment, IOP Science, 2016, pp.053203
Liste complète des métadonnées

https://hal.archives-ouvertes.fr/hal-01396568
Contributeur : Serena Benassù <>
Soumis le : lundi 14 novembre 2016 - 16:00:48
Dernière modification le : lundi 29 mai 2017 - 14:24:54

Identifiants

  • HAL Id : hal-01396568, version 1

Collections

INSMI | UPMC | USPC | PMA

Citation

Yongjoo Baek, Yariv Kafri, Vivien Lecomte. Extreme current fluctuations of boundary-driven systems in the large-N limit. Journal of Statistical Mechanics: Theory and Experiment, IOP Science, 2016, pp.053203. <hal-01396568>

Partager

Métriques

Consultations de la notice

12