Singularity spectrum of self-organized criticality

Details Singularity spectrum of self-organized criticality Singularity spectrum of self-organized criticality

1992-11-16

arxiv.org/abs/cond-mat/9211007v1

Phys.Rev.E47:5-8,1993

Physics

Condensed Matter

IC/92/334, To appear Phys. Rev. A (Rapid Commun.)

Scientific paper

10.1103/PhysRevE.47.R5

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.

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