Universality in Sandpile Models

Details Universality in Sandpile Models Universality in Sandpile Models

1998-03-19

arxiv.org/abs/cond-mat/9803236v1

Phys. Rev. E 53, R1317 (1996)

Physics

Condensed Matter

Statistical Mechanics

13 pages of text, RevTeX, additional 3 figures in 5 PS files

Scientific paper

10.1103/PhysRevE.53.R1317

A new 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. Wiensenfeld, 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

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