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Exact velocity of dispersive flow in the asymmetric avalanche process

E. V. Ivashkevich·A. M. Povolotsky·V. B. Priezzhev
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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.

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E. V. Ivashkevich, A. M. Povolotsky, V. B. Priezzhev. 2000-12-29. Exact velocity of dispersive flow in the asymmetric avalanche process. https://arxiv.org/abs/cond-mat/0012507

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