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Trough models: Universality classes, distribution of avalanches, and cluster sizes

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dc.contributorVirginia Techen
dc.contributor.authorLeung, K. T.en
dc.contributor.departmentPhysicsen
dc.date.accessed2014-04-22en
dc.date.accessioned2014-04-25T14:12:34Zen
dc.date.available2014-04-25T14:12:34Zen
dc.date.issued1992-11en
dc.description.abstractExtensions of the one-dimensional two-state trough model introduced by Carlson, Chayes, Grannan, and Swindle (CCGS) [Phys. Rev. A 42, 2467 (1990)] are considered. In particular, I investigate what kinds of physical processes are relevant to its scaling behavior. Short-range rearrangements of trough positions (slide events), which were neglected by CCGS, are shown to be irrelevant. By a simple modification of the dynamics, however, I obtain universality classes characterized by a single parameter. For trough models in general, including the two-state and the "limited local" sandpile models, asymptotically exact relations between the distribution of trough-trough distances and that of the mass of avalanches are derived. They yield moment relations in agreement with Krug's [J. Stat. Phys. 66, 1635 (1992)]. All results are verified by simulations.en
dc.description.sponsorshipNSFen
dc.identifier.citationLeung, K. T., " Trough models: Universality classes, distribution of avalanches, and cluster sizes," Phys. Rev. A 46, 6211 (1992); DOI: http://dx.doi.org/10.1103/PhysRevA.46.6211en
dc.identifier.doihttps://doi.org/10.1103/PhysRevA.46.6211en
dc.identifier.issn1050-2947en
dc.identifier.urihttp://hdl.handle.net/10919/47682en
dc.identifier.urlhttp://journals.aps.org/pra/abstract/10.1103/PhysRevA.46.6211en
dc.language.isoen_USen
dc.publisherAmerican Physical Societyen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectself-organized criticalityen
dc.titleTrough models: Universality classes, distribution of avalanches, and cluster sizesen
dc.title.serialPhysical Review Aen
dc.typeArticle - Refereeden

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