Universality classes for rice-pile models

Luís A. Nunes Amaral, Kent Bækgaard Lauritsen

Research output: Contribution to journalArticlepeer-review

22 Scopus citations

Abstract

We investigate sandpile models where the updating of unstable columns is done according to a stochastic rule. We examine the effect of introducing nonlocal relaxation mechanisms. We find that the models self-organize into critical states that belong to three different universality classes. The models with local relaxation rules belong to a known universality class that is characterized by an avalanche exponent [Formula Presented], whereas the models with nonlocal relaxation rules belong to new universality classes characterized by exponents [Formula Presented] and [Formula Presented]. We discuss the values of the exponents in terms of scaling relations and a mapping of the sandpile models to interface models.

Original languageEnglish (US)
Pages (from-to)231-234
Number of pages4
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume56
Issue number1
DOIs
StatePublished - Jan 1 1997

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Physics and Astronomy(all)

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