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de Gier J, Essler FH. Large deviation function for the current in the open asymmetric simple exclusion process. Phys Rev Lett. 2011;107(1):010602doi: 10.1103/PhysRevLett.107.010602.
de Gier, J., & Essler, F. H. (2011). Large deviation function for the current in the open asymmetric simple exclusion process. Physical review letters, 107(1), 010602. https://doi.org/10.1103/PhysRevLett.107.010602
de Gier, Jan, and Essler, Fabian H L. "Large deviation function for the current in the open asymmetric simple exclusion process." Physical review letters vol. 107,1 (2011): 010602. doi: https://doi.org/10.1103/PhysRevLett.107.010602
de Gier J, Essler FH. Large deviation function for the current in the open asymmetric simple exclusion process. Phys Rev Lett. 2011 Jul 01;107(1):010602. doi: 10.1103/PhysRevLett.107.010602. Epub 2011 Jun 30. PMID: 21797530.
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Phys Rev Lett. 2011 Jul 01;107(1):010602. doi: 10.1103/PhysRevLett.107.010602. Epub 2011 Jun 30.

Large deviation function for the current in the open asymmetric simple exclusion process.

Physical review letters

Jan de Gier, Fabian H L Essler

Affiliations

  1. Department of Mathematics and Statistics, The University of Melbourne, Victoria, Australia.

PMID: 21797530 DOI: 10.1103/PhysRevLett.107.010602

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.

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