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

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 $\tau =1.53$.

10 pages, 7 eps figures

References in corpus (3)

• How self-organized criticality works: A unified mean-field picture
• Logarithmic corrections of the avalanche distributions of sandpile models at the upper critical dimension
• Universality classes for rice-pile models

Cited by in corpus (3)

• The Oslo rice pile model is a quenched Edwards-Wilkinson equation
• Self-organized Criticality and Absorbing States: Lessons from the Ising Model
• $1/f^{\alpha }$ fluctuations in a ricepile model