caa a22 4500 445392126 CHVBK 20180317143050.0 cr unu---uuuuu 170323e20110301xx s 000 0 eng 10.1007/s10955-011-0146-6 doi (NATIONALLICENCE)springer-10.1007/s10955-011-0146-6 Simon Damien Laboratoire Probabilités et modèles aléatoires, UMR 7599, UPMC Paris 6 et CNRS, 4 place Jussieu, 75252, Paris Cedex 05, France aut Bethe Ansatz for the Weakly Asymmetric Simple Exclusion Process and Phase Transition in the Current Distribution [Elektronische Daten] [Damien Simon] 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. 358Springer Science+Business Media, LLC, 2011 Exclusion process nationallicence Bethe ansatz nationallicence Large deviation function nationallicence Phase transition nationallicence Journal of Statistical Physics Springer US; http://www.springer-ny.com 142/5(2011-03-01), 931-951 0022-4715 142:5<931 2011 142 10955 https://doi.org/10.1007/s10955-011-0146-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-011-0146-6 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Simon Damien Laboratoire Probabilités et modèles aléatoires, UMR 7599, UPMC Paris 6 et CNRS, 4 place Jussieu, 75252, Paris Cedex 05, France aut NATIONALLICENCE 773 0- Journal of Statistical Physics Springer US; http://www.springer-ny.com 142/5(2011-03-01), 931-951 0022-4715 142:5<931 2011 142 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer