Wednesday, May 29, 2013

1101.1479 (Sunder Sethuraman et al.)

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

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].
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