A sharp transition between a trivial 1D BTW model and self-organized critical rice-pile model

M. Bengrine; A. Benyoussef; A. El Kenz; M. Loulidi; F. Mhirech

doi:10.1007/s100510050987

EPJ

A sharp transition between a trivial 1D BTW model and self-organized critical rice-pile model

M. Bengrine^a, A. Benyoussef, A. El Kenz, M. Loulidi and F. Mhirech

Laboratoire de Magnétisme et de Physique des Hautes Énergies, Département de Physique, Faculté des Sciences, B.P. 1014, Rabat, Morocco

Received: 18 December 1998
Published online: 15 November 1999

Abstract

A one-dimensional model of a rice-pile is numerically studied for different driving mechanisms. We found that for a sufficiently large system, there is a sharp transition between the trivial behaviour of a 1D BTW model and self-organized critical (SOC) behaviour. Depending on the driving mechanism, the self-organized critical rice-pile model belongs to two different universality classes.

PACS: 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 64.60.Ht – Dynamic critical phenomena / 05.70.Ln – Nonequilibrium and irreversible thermodynamics