Large Deviation Function for the Current in the Open Asymmetric Simple Exclusion Process

Jan de Gier and Fabian H. L. Essler

Phys. Rev. Lett. 107, 010602 – Published 30 June 2011

Abstract

We consider the one-dimensional asymmetric exclusion process with particle injection and extraction at two boundaries. The model is known to exhibit four distinct phases in its stationary state. We analyze the current statistics at the first site in the low and high density phases. In the limit of infinite system size, we conjecture an exact expression for the current large deviation function.

Received 23 January 2011

DOI:https://doi.org/10.1103/PhysRevLett.107.010602

Authors & Affiliations

Jan de Gier¹ and Fabian H. L. Essler²

¹Department of Mathematics and Statistics, The University of Melbourne, 3010 Victoria, Australia
²Rudolf Peierls Centre for Theoretical Physics, University of Oxford, 1 Keble Road, Oxford, OX1 3NP, United Kingdom