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Exact velocity of dispersive flow in the asymmetric avalanche process

Statistical Mechanics 2007-05-23 v1

Abstract

Using the Bethe ansatz we obtain the exact solution for the one-dimensional asymmetric avalanche process. We evaluate the velocity of dispersive flow as a function of driving force and the density of particles. The obtained solution shows a dynamical transition from intermittent to continuous flow.

Keywords

Cite

@article{arxiv.cond-mat/0012507,
  title  = {Exact velocity of dispersive flow in the asymmetric avalanche process},
  author = {E. V. Ivashkevich and A. M. Povolotsky and V. B. Priezzhev},
  journal= {arXiv preprint arXiv:cond-mat/0012507},
  year   = {2007}
}

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12 pages