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Totally Asymmetric Zero-Range process in the Rarefaction Fan | | Patricia Goncalves
; Milton Jara
; | | Date: |
3 Dec 2009 | | Abstract: | We 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 | | Services: | Forum | Review | PDF | Favorites | |
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