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Loss of criticality in the avalanche statistics of sandpiles with dissipative sites

Authors
Journal
Communications in Nonlinear Science and Numerical Simulation
1007-5704
Publisher
Elsevier
Identifiers
DOI: 10.1016/j.cnsns.2014.06.020
Keywords
  • Sandpile Models
  • Scaling Phenomena In Complex Systems
  • Self-Organization Of Complex Systems
  • Computational Techniques: Statistical Physics And Nonlinear Dynamics

Abstract

Abstract To account for the dissipative mechanisms found in nature, non-conservative elements have been incorporated in the energy redistribution rules of sandpiles and similar models of hazard phenomena. In this work, we found that incorporating non-conservation in the form of spatially-distributed sink sites affect both the external driving and internal cascade mechanisms of the sandpile. Increasing sink densities result in the loss of critical behavior, as evidenced by the gradual evolution of the avalanche size distribution from power-law (correlated) to exponential (random). For low density cases, we found no optimal configuration that will minimize the risk of producing large avalanches. Our model is inspired by analogs in natural avalanche systems, where non-conservative elements have an inherent spatial distribution.

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