Large deviations for a zero mean asymmetric zero range process in random media

Details Large deviations for a zero mean asymmetric zero range process in random media Large deviations for a zero mean asymmetric zero range process in random media

2000-09-11

arxiv.org/abs/math/0009110v1

Mathematics

Probability

24 pages

Scientific paper

We consider an asymmetric zero range process in infinite volume with zero mean and random jump rates starting from equilibrium. We investigate the large deviations from the hydrodynamical limit of the empirical distribution of particles and prove an upper and a lower bound for the large deviation principle. Our main argument is based on a super-exponential estimate in infinite volume. For this we extend to our case a method developed by Kipnis & al. (1989) and Benois & al. (1995).

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