Disorder-induced phase transition in a one-dimensional model of rice pile
Statistical Mechanics
2016-08-31 v1 Disordered Systems and Neural Networks
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 .
Cite
@article{arxiv.cond-mat/9905009,
title = {Disorder-induced phase transition in a one-dimensional model of rice pile},
author = {M. Bengrine and A. Benyoussef and F. Mhirech and S. D. Zhang},
journal= {arXiv preprint arXiv:cond-mat/9905009},
year = {2016}
}
Comments
10 pages, 7 eps figures