Universality in sandpile models

Asa Ben-Hur, Ofer Biham

Research output: Contribution to journalArticlepeer-review

127 Scopus citations

Abstract

A classification of sandpile models into universality classes is presented. On the basis of extensive numerical simulations, in which we measure an extended set of exponents, the Manna two-state model [S. S. Manna, J. Phys. A. 24, L363 (1991)] is found to belong to a universality class of random neighbor models which is distinct from the universality class of the original model of Bak, Tang, and Wiesenfeld [P. Bak, C. Tang, and K. Wiesenfeld, Phys. Rev. Lett. 59, 381 (1987)]. Directed models are found to belong to a universality class which includes the directed model introduced and solved by Dhar and Ramaswamy [D. Dhar and R. Ramaswamy, Phys. Rev. Lett. 63, 1659 (1989)].

Original languageAmerican English
Pages (from-to)R1317-R1320
JournalPhysical Review E
Volume53
Issue number2
DOIs
StatePublished - 1996

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