Non-Abelian self-organized criticality model with one stochastic site in any avalanche shows multifractal scaling

Details Non-Abelian self-organized criticality model with one stochastic site in any avalanche shows multifractal scaling Non-Abelian self-organized criticality model with one stochastic site in any avalanche shows multifractal scaling

2008-07-25

arxiv.org/abs/0807.4113v3

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

I have proposed a\textit{non-Abelian}and stochastic self-organized criticality model in which each avalanche contains one stochastic site and all remaining sites in the avalanche are deterministic with a constant threshold $E_{c}^{I}$. Studies of avalanche structures, waves and autocorrelations, size moments and probability distribution functions of avalanche size, for the thresholds $4\leq E_{c}^{I}\leq256$, were performed. The shell-like avalanche structures, correlated waves within avalanches, complex size moments and probability distribution functions show multifractal scaling like the \textit{Abelian} and deterministic BTW model despite the fact that the model is \textit{non-Abelian}and stochastic with unbalanced relaxation rules at each stochastic site.

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