Exact solution of the totally asymmetric Oslo model

dc.creatorPruessner, Gunnar
dc.date2004-02-23
dc.date.accessioned2026-07-07T02:56:37Z
dc.date.available2026-07-07T02:56:37Z
dc.descriptionRecently it has been found [G. Pruessner and H. J. Jensen, Phys. Rev. Lett. 91, 244303 (2003)] that a totally asymmetric variant of the Oslo model [K. Christensen et al., Phys. Rev. Lett. 77, 107 (1996)] represents the entire universality class of the Oslo model with anisotropy. The totally asymmetric model can be solved without scaling assumptions by finding recursively the eigenvectors of the Markov matrix, which can be suitably modified to produce the moment generating function of the relevant observable. This method should be applicable to many other stochastic processes.
dc.description19 pages, 3 figures, JPA style
dc.identifierhttps://arxiv.org/abs/cond-mat/0402564
dc.identifierhttp://arxiv.org/abs/cond-mat/0402564
dc.identifierJ. Phys. A: Math. Gen. 37 (30), 7455--7471 (2004)
dc.identifierdoi:10.1088/0305-4470/37/30/005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/23396
dc.subjectStatistical Mechanics
dc.titleExact solution of the totally asymmetric Oslo model
dc.typetext

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