Chaos in Sandpile Models

Details Chaos in Sandpile Models Chaos in Sandpile Models

2010-05-25

arxiv.org/abs/1005.4498v2

Physics

Condensed Matter

Statistical Mechanics

5 pages, 6 figures

Scientific paper

We have investigated the "weak chaos" exponent to see if it can be considered as a classification parameter of different sandpile models. Simulation results show that "weak chaos" exponent may be one of the characteristic exponents of the attractor of \textit{deterministic} models. We have shown that the (abelian) BTW sandpile model and the (non abelian) Zhang model posses different "weak chaos" exponents, so they may belong to different universality classes. We have also shown that \textit{stochasticity} destroys "weak chaos" exponents' effectiveness so it slows down the divergence of nearby configurations. Finally we show that getting off the critical point destroys this behavior of deterministic models.

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