Large scale simulations of the Zhang sandpile model

Abstract

We consider the non Abelian sandpile model introduced by Y.-C. Zhang on a two-dimensional square lattice. The static and dynamical properties of the model are investigated and compared to the Abelian sandpile model of Bak, Tang and Wiesenfeld. A detailed analysis which takes the finite size effects into account yields that the exponents of the avalanche probability distribution are the same as in the Abelian model.

6 pages, 8 figures, accepted for publication Physical Review E

References in corpus (1)

• Numerical Determination of the Avalanche Exponents of the Bak-Tang-Wiesenfeld Model

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• The Bak-Tang-Wiesenfeld sandpile model around the upper critical dimension
• Mean-field behavior of the sandpile model below the upper critical dimension
• Energy constrained sandpile models
• Self-organized quantization and oscillations on continuous fixed-energy sandpiles
• Direct Evidence for Conformal Invariance of Avalanche Frontier in Sandpile Models
• Lyapunov exponents and transport in the Zhang model of Self-Organized Criticality
• Dynamical properties of the Zhang model of Self-Organized Criticality
• Crossover phenomenon in self-organized critical sandpile models
• Sandpile models and random walkers on finite lattices
• Characteristics of Deterministic and Stochastic Sandpile Models in a Rotational Sandpile Model
• Dynamically Driven Renormalization Group Applied to Sandpile Models
• Fluctuations and correlations in sandpile models
• Some Properties of Sandpile Models as Prototype of Self-Organized Critical Systems
• Relevance of Abelian Symmetry and Stochasticity in Directed Sandpiles
• Emergence and complexity in theoretical models of self-organized criticality
• Sandpiles Subjected to Sinusoidal Drive
• Self-Organized Criticality in a Bulk Driven One-Dimensional Deterministic System
• Universality classes and crossover behaviors in non-Abelian directed sandpiles
• Emergence of quasi-units in the one dimensional Zhang model
• Synaptic plasticity and neuronal refractory time cause scaling behaviour of neuronal avalanches