Singularity spectrum of self-organized criticality
- 1 January 1993
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 47 (1) , R5-R8
- https://doi.org/10.1103/physreve.47.r5
Abstract
I introduce a simple continuous probability theory based on the Ginzburg-Landau equation that provides 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.Keywords
All Related Versions
This publication has 16 references indexed in Scilit:
- Acoustic emission from volcanic rocks: An example of self-organized criticalityPhysical Review Letters, 1991
- Exact solution of a deterministic sandpile model in one dimensionPhysical Review Letters, 1991
- Self-organized criticality and the Barkhausen effectPhysical Review Letters, 1991
- Conservation laws, anisotropy, and ‘‘self-organized criticality’’ in noisy nonequilibrium systemsPhysical Review Letters, 1990
- Lee and Stanley reply:Physical Review Letters, 1989
- Phase Transition in the Multifractal Spectrum of Diffusion-Limited AggregationPhysical Review Letters, 1988
- Self-organized criticality: An explanation of the 1/fnoisePhysical Review Letters, 1987
- Growth Probability Distribution in Kinetic Aggregation ProcessesPhysical Review Letters, 1986
- Mean-Field Theory for Diffusion-Limited Cluster FormationPhysical Review Letters, 1983
- Kinetics of Formation of Randomly Branched Aggregates: A Renormalization-Group ApproachPhysical Review Letters, 1983