Singularity spectrum of self-organized criticality

E. Canessa

doi:10.1103/physreve.47.r5

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Singularity spectrum of self-organized criticality

E. Canessa

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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.

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E. Canessa. 1992-11-16. Singularity spectrum of self-organized criticality. https://doi.org/10.1103/physreve.47.r5

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