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Exact velocity of dispersive flow in the asymmetric avalanche process

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

cond-mat.stat-mecharXiv:cond-mat/0012507

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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