1101.1479 (Sunder Sethuraman et al.)

Large deviations for the current and tagged particle in 1D
nearest-neighbor symmetric simple exclusion    [PDF]

Sunder Sethuraman, S. R. S. Varadhan

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].

View original: http://arxiv.org/abs/1101.1479