Trough models: Universality classes, distribution of avalanches, and cluster sizes
| dc.contributor | Virginia Tech | en |
| dc.contributor.author | Leung, K. T. | en |
| dc.contributor.department | Physics | en |
| dc.date.accessed | 2014-04-22 | en |
| dc.date.accessioned | 2014-04-25T14:12:34Z | en |
| dc.date.available | 2014-04-25T14:12:34Z | en |
| dc.date.issued | 1992-11 | en |
| dc.description.abstract | Extensions 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.sponsorship | NSF | en |
| dc.identifier.citation | Leung, 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.46.6211 | en |
| dc.identifier.doi | https://doi.org/10.1103/PhysRevA.46.6211 | en |
| dc.identifier.issn | 1050-2947 | en |
| dc.identifier.uri | http://hdl.handle.net/10919/47682 | en |
| dc.identifier.url | http://journals.aps.org/pra/abstract/10.1103/PhysRevA.46.6211 | en |
| dc.language.iso | en_US | en |
| dc.publisher | American Physical Society | en |
| dc.rights | In Copyright | en |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
| dc.subject | self-organized criticality | en |
| dc.title | Trough models: Universality classes, distribution of avalanches, and cluster sizes | en |
| dc.title.serial | Physical Review A | en |
| dc.type | Article - Refereed | en |
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