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

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

1999-05-02

arxiv.org/abs/cond-mat/9905009v1

Physics

Condensed Matter

Statistical Mechanics

10 pages, 7 eps figures

Scientific paper

10.1016/S0378-4371(99)00252-6

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 $\tau=1.53$.

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