Bethe Ansatz for the Weakly Asymmetric Simple Exclusion Process and phase transition in the current distribution

Abstract : The probability distribution of the current in the asymmetric simple exclusion process is expected to undergo a phase transition in the regime of weak asymmetry of the jumping rates. This transition was first predicted by Bodineau and Derrida using a linear stability analysis of the hydrodynamical limit of the process and further arguments have been given by Mallick and Prolhac. However it has been impossible so far to study what happens after the transition. The present paper presents an analysis of the large deviation function of the current on both sides of the transition from a Bethe ansatz approach of the weak asymmetry regime of the exclusion process.
Type de document :
Pré-publication, Document de travail
accepted to J.Stat.Phys, 1 figure, 1 reference, 2 paragraphs added. 2011
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https://hal.archives-ouvertes.fr/hal-00563252
Contributeur : Damien Simon <>
Soumis le : vendredi 4 février 2011 - 14:47:03
Dernière modification le : mercredi 12 octobre 2016 - 01:04:18

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  • HAL Id : hal-00563252, version 1
  • ARXIV : 1011.3590

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Damien Simon. Bethe Ansatz for the Weakly Asymmetric Simple Exclusion Process and phase transition in the current distribution. accepted to J.Stat.Phys, 1 figure, 1 reference, 2 paragraphs added. 2011. <hal-00563252>

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