Universal versus drive-dependent exponents for sandpile models

Hiizu Nakanishi, Kim Sneppen

研究成果: Contribution to journalArticle査読

32 被引用数 (Scopus)

抄録

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.

本文言語英語
ページ(範囲)4012-4016
ページ数5
ジャーナルPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
55
4
DOI
出版ステータス出版済み - 1997

All Science Journal Classification (ASJC) codes

  • 統計物理学および非線形物理学
  • 統計学および確率
  • 凝縮系物理学

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