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

M Bengrine, A Benyoussef, F Mhirech and S.d Zhang

Physica A: Statistical Mechanics and its Applications, 1999, vol. 272, issue 1, 1-11

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 τ=1.53.

Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:272:y:1999:i:1:p:1-11

DOI: 10.1016/S0378-4371(99)00252-6

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