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May 2013 Large deviations for the current and tagged particle in 1D nearest-neighbor symmetric simple exclusion
Sunder Sethuraman, S. R. S. Varadhan
Ann. Probab. 41(3A): 1461-1512 (May 2013). DOI: 10.1214/11-AOP703

Abstract

Laws of large numbers, starting from certain nonequilibrium measures, have been shown for the integrated current across a bond, and a tagged particle in one-dimensional symmetric nearest-neighbor simple exclusion [Ann. Inst. Henri Poincaré Probab. Stat. 42 (2006) 567–577]. In this article, we prove corresponding large deviation principles and evaluate the rate functions, showing different growth behaviors near and far from their zeroes which connect with results in [J. Stat. Phys. 136 (2009) 1–15].

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Sunder Sethuraman. S. R. S. Varadhan. "Large deviations for the current and tagged particle in 1D nearest-neighbor symmetric simple exclusion." Ann. Probab. 41 (3A) 1461 - 1512, May 2013. https://doi.org/10.1214/11-AOP703

Information

Published: May 2013
First available in Project Euclid: 29 April 2013

zbMATH: 1287.60117
MathSciNet: MR3098682
Digital Object Identifier: 10.1214/11-AOP703

Subjects:
Primary: 60K35

Keywords: current , exclusion , large deviations , one dimensional , Symmetric , Tagged particle

Rights: Copyright © 2013 Institute of Mathematical Statistics

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Vol.41 • No. 3A • May 2013
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