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 tau = 1.53. (C) 1999 Elsevier Science B.V. All rights reserved.
|Number of pages||11|
|Journal||PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS|
|Publication status||Published - 01 Oct 1999|
ASJC Scopus subject areas
- Mathematical Physics
- Statistical and Nonlinear Physics