Precise Toppling Balance, Quenched Disorder, and Universality for Sandpiles

Universality in sandpiles

Alessandro Chessa, H. Eugene Stanley, Alessandro Vespignani, and Stefano Zapperi Dipartimento di Fisica and Unitá INFM, Universitá di Cagliari, Via Ospedale 72, 09124 Cagliari, Italy Center for Polymer Studies and Department of Physics, Boston University, Boston, Massachusetts 02215 The Abdus Salam International Centre for Theoretical Physics (ICTP), P.O. Box 586, 34100 Trieste, Italy PMMH-ESPC...

Universality classes for interface growth with quenched disorder.

We present numerical evidence that there are two distinct universality classes characterizing driven interface roughening in the presence of quenched disorder. The evidence is based on the behavior of λ, the coefficient of the nonlinear term in the growth equation. Specifically, for three of the models studied, λ → ∞ at the depinning transition, while for the two other models, λ → 0. PACS numbe...

Confirming and extending the hypothesis of universality in sandpiles.

Stochastic sandpiles self-organize to an absorbing-state critical point with scaling behavior different from directed percolation (DP) and characterized by the presence of an additional conservation law. This is usually called the C-DP or Manna universality class. There remains, however, an exception to this universality principle: a sandpile automaton introduced by Maslov and Zhang, which was ...

Universality in Sandpiles, Interface Depinning, and Earthquake Models.

Recent numerical results for a model describing dispersive transport in ricepiles are explained by mapping the model to the depinning transition of an elastic interface that is dragged at one end through a random medium. The average velocity of transport vanishes with system size L as kyl , L22D , L20.23, and the avalanche size distribution exponent t ­ 2 2 1yD . 1.55, where D . 2.23 from inter...

Universality class of the depinning transition in the two-dimensional Ising model with quenched disorder