Universality in sandpile models
- 1 February 1996
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 53 (2) , R1317-R1320
- https://doi.org/10.1103/physreve.53.r1317
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)].Keywords
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This publication has 17 references indexed in Scilit:
- Renormalization approach to the self-organized critical behavior of sandpile modelsPhysical Review E, 1995
- Renormalization scheme for self-organized criticality in sandpile modelsPhysical Review Letters, 1994
- Sandpile models with and without an underlying spatial structurePhysical Review E, 1993
- Noise and dynamics of self-organized critical phenomenaPhysical Review A, 1992
- Dynamical and spatial aspects of sandpile cellular automataJournal of Statistical Physics, 1991
- Cascades and self-organized criticalityJournal of Statistical Physics, 1990
- Self-organized critical state of sandpile automaton modelsPhysical Review Letters, 1990
- Some more sandpilesJournal de Physique, 1990
- Exactly solved model of self-organized critical phenomenaPhysical Review Letters, 1989
- Scaling theory of self-organized criticalityPhysical Review Letters, 1989