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

M. Bengrine·A. Benyoussef·F. Mhirech·S. D. Zhang
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Abstract

We propose a one-dimensional rice-pile model which connects the 1D BTW sandpile model (Phys. Rev. A 38, 364 (1988)) and the Oslo rice-pile model (Phys. Rev. lett. 77, 107 (1997)) 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 $τ=1.53$.

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M. Bengrine, A. Benyoussef, F. Mhirech, S. D. Zhang. 1999-05-02. Disorder-induced phase transition in a one-dimensional model of rice pile. https://doi.org/10.1016/s0378-4371(99)00252-6

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