Universal versus drive-dependent exponents for sandpile models

Hiizu Nakanishi and Kim Sneppen
Phys. Rev. E 55, 4012 – Published 1 April 1997
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Abstract

We study the scaling relations of the Manna [J. Phys. A 24, L363 (1992)] model. We found that the avalanche exponent depends crucially on whether one drives the system in the bulk or at the boundary while the cutoff scaling exponent is invariant. Scaling relations relating these exponents are derived for various modes of driving. It is shown numerically that the one dimensional Manna model and a recently introduced ricepile model have the same exponents. Finally, a class of nonconserved self-organized critical models is introduced, and a classification scheme for sandpile models is proposed.

  • Received 28 October 1996

DOI:https://doi.org/10.1103/PhysRevE.55.4012

©1997 American Physical Society

Authors & Affiliations

Hiizu Nakanishi1 and Kim Sneppen2

  • 1Department of Physics, Kyushu University 33, Fukuoka 812-81, Japan
  • 2NORDITA, Blegdamsvej 17, DK-2100 Copenhagen, Denmark

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Vol. 55, Iss. 4 — April 1997

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