Large deviations for the current and tagged particle in 1D nearest-neighbor symmetric simple exclusion
Probability
2013-05-28 v2 Mathematical Physics
math.MP
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 Poincare 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].
Keywords
Cite
@article{arxiv.1101.1479,
title = {Large deviations for the current and tagged particle in 1D nearest-neighbor symmetric simple exclusion},
author = {Sunder Sethuraman and S. R. S. Varadhan},
journal= {arXiv preprint arXiv:1101.1479},
year = {2013}
}
Comments
Published in at http://dx.doi.org/10.1214/11-AOP703 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)