The Asymmetric Avalanche Process

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dc.creatorPovolotsky, A. M.
dc.creatorPriezzhev, V. B.
dc.creatorHu, Chin-Kun
dc.date2002-08-08
dc.date2003-03-18
dc.date.accessioned2026-07-07T06:29:22Z
dc.date.available2026-07-07T06:29:22Z
dc.descriptionAn asymmetric stochastic process describing the avalanche dynamics on a ring is proposed. A general kinetic equation which incorporates the exclusion and avalanche processes is considered. The Bethe ansatz method is used to calculate the generating function for the total distance covered by all particles. It gives the average velocity of particles which exhibits a phase transition from an intermittent to continuous flow. We calculated also higher cumulants and the large deviation function for the particle flow. The latter has the universal form obtained earlier for the asymmetric exclusion process and conjectured to be common for all models of the Kardar-Parisi-Zhang universality class .
dc.description33 pages, 3 figures, revised version
dc.identifierhttps://arxiv.org/abs/cond-mat/0208173
dc.identifierhttp://arxiv.org/abs/cond-mat/0208173
dc.identifierJ. Stat. Phys. 111, 1149-1182 (2003)
dc.identifierdoi:10.1023/A:1023048115250
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98006
dc.subjectStatistical Mechanics
dc.titleThe Asymmetric Avalanche Process
dc.typetext

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