Sandpile Model with Activity Inhibition

Abstract

A new sandpile model is studied in which bonds of the system are inhibited for activity after a certain number of transmission of grains. This condition impels an unstable sand column to distribute grains only to those neighbours which have toppled less than m times. In this non-Abelian model grains effectively move faster than the ordinary diffusion (super-diffusion). A novel system size dependent cross-over from Abelian sandpile behaviour to a new critical behaviour is observed for all values of the parameter m.

11 pages, RevTex, 5 Postscript figures

References in corpus (3)

• Universality in Sandpile Models
• Emergent spatial structures in critical sandpiles
• Avalanches and Waves in the Abelian Sandpile Model

Cited by in corpus (1)

• Characteristics of Deterministic and Stochastic Sandpile Models in a Rotational Sandpile Model