Universality in Sandpile Models
统计力学
2009-10-31 v1
摘要
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
引用
@article{arxiv.cond-mat/9803236,
title = {Universality in Sandpile Models},
author = {A. Ben-Hur and O. Biham},
journal= {arXiv preprint arXiv:cond-mat/9803236},
year = {2009}
}
备注
13 pages of text, RevTeX, additional 3 figures in 5 PS files