Fluctuations and correlations in sandpile models

Abstract

We perform numerical simulations of the sandpile model for non-vanishing driving fields $h$ and dissipation rates $\epsilon$. Unlike simulations performed in the slow driving limit, the unique time scale present in our system allows us to measure unambiguously response and correlation functions. We discuss the dynamic scaling of the model and show that fluctuation-dissipation relations are not obeyed in this system.

5 pages, latex, 4 postscript figures

References in corpus (4)

• Driving, conservation and absorbing states in sandpiles
• Universality in sandpiles
• Rare events and breakdown of simple scaling in the Abelian sandpile
• Dynamical properties of the Zhang model of Self-Organized Criticality

Cited by in corpus (5)

• Absorbing-state phase transitions in fixed-energy sandpiles
• Scaling in self-organized criticality from interface depinning?
• Quenched noise and over-active sites in sandpile dynamics
• Self-Organized Criticality and Thermodynamic formalism
• Directed abelian algebras and their applications to stochastic models