Critical States in a Dissipative Sandpile Model

Abstract

A directed dissipative sandpile model is studied in the two-dimension. Numerical results indicate that the long time steady states of this model are critical when grains are dropped only at the top or, everywhere. The critical behaviour is mean-field like. We discuss the role of infinite avalanches of dissipative models in periodic systems in determining the critical behaviour of same models in open systems.

4 pages (Revtex), 5 ps figures (included)

References in corpus (1)

• The abelian sandpile and related models

Cited by in corpus (3)

• A Nonconservative Earthquake Model of Self-Organized Criticality on a Random Graph
• Critical behavior and conservation in directed sandpiles
• Self-organised criticality in dilute lattice