Non-Abelian self-organized criticality model with one stochastic site in any avalanche shows multifractal scaling
Statistical Mechanics
2010-02-02 v3 Other Condensed Matter
Abstract
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 . Studies of avalanche structures, waves and autocorrelations, size moments and probability distribution functions of avalanche size, for the thresholds , 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.
Keywords
Cite
@article{arxiv.0807.4113,
title = {Non-Abelian self-organized criticality model with one stochastic site in any avalanche shows multifractal scaling},
author = {Jozef Černák},
journal= {arXiv preprint arXiv:0807.4113},
year = {2010}
}