Are avalanches in sandpiles a chaotic phenomenon?

Maria de Sousa Vieira

Physica A: Statistical Mechanics and its Applications, 2004, vol. 340, issue 4, 559-565

Abstract: We show that deterministic systems with strong nonlinearities seem to be more appropriate to model sandpiles than stochastic systems or deterministic systems in which discontinuities are the only nonlinearity. In particular, we are able to reproduce the breakdown of self-organized criticality found in two well known experiments, that is, a centrally fueled pile [Phys. Rev. Lett. 65 (1990) 1120] and sand in a rotating tray [Phys. Rev. Lett. 69 (1992) 2431]. By varying the parameters of the model we recover self-organized criticality, in agreement with other experiments and other models. We show that chaos plays a fundamental role in the dynamics of the system.

Keywords: Self-organized systems; Avalanches; Coupled map lattices (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:340:y:2004:i:4:p:559-565

DOI: 10.1016/j.physa.2004.05.006

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