Singularity spectrum of self-organized criticality

Preprint

16 November 1992

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9211007

Abstract

I introduce a simple continuous probability theory based on the Ginzburg-Landau equation that provides for the first time a common analytical basis to relate and describe the main features of two seemingly different phenomena of condensed-matter physics, namely self-organized criticality and multifractality. Numerical support is given by a comparison with reported simulation data. Within the theory the origin of self-organized critical phenomena is analysed in terms of a nonlinear singularity spectrum different from the typical convex shape due to multifractal measures.

Keywords

CONTINUOUS PROBABILITY
ORGANIZED CRITICALITY
SINGULARITY SPECTRUM
PROBABILITY THEORY
CRITICAL PHENOMENA
SIMPLE CONTINUOUS
MULTIFRACTALITY
MATTER PHYSICS
SPECTRUM

All Related Versions

Version 1, 1992-11-16, ArXiv
Published version: Physical Review E, 47 (1), R5.

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