English

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 EcIE_{c}^{I}. Studies of avalanche structures, waves and autocorrelations, size moments and probability distribution functions of avalanche size, for the thresholds 4EcI2564\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.

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}
}