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01 October 2020
  » arxiv » 0912.0640

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Totally Asymmetric Zero-Range process in the Rarefaction Fan
Patricia Goncalves ; Milton Jara ;
Date 3 Dec 2009
AbstractWe consider the one-dimensional totally asymmetric zero-range starting from a step decreasing profile leading in the hydrodynamic limit to the rarefaction fan of the associated hydrodynamic equation. We show that the sum of joint probabilities for second class particles sharing the same site, is convergent and we compute its limit. We derive the Law of Large Numbers for the position of a second class particle initially at the origin under the initial state in which all positive sites are occupied and all negative sites are empty and also for a slight perturbation of the invariant state.
Source arXiv, 0912.0640
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