Disorder-induced phase transition in a one-dimensional model of rice pile

M. Bengrine, A. Benyoussef, F. Mhirech, Shu-Dong Zhang

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)

Abstract

We propose a one-dimensional rice-pile model which connects the 1D BTW sandpile model (Phys. Rev. A 38 (1988) 364) and the Oslo rice-pile model (Phys. Rev. Lett. 77 (1997) 107) in a continuous manner. We found that for a sufficiently large system, there is a sharp transition between the trivial critical behaviour of the 1D BTW model and the self-organized critical (SOC) behaviour. When there is SOC, the model belongs to a known universality class with the avalanche exponent tau = 1.53. (C) 1999 Elsevier Science B.V. All rights reserved.
Original languageEnglish
Pages (from-to)1-11
Number of pages11
JournalPHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume272
Issue number1
Publication statusPublished - 01 Oct 1999

ASJC Scopus subject areas

  • Mathematical Physics
  • Statistical and Nonlinear Physics

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