Nonconservative Earthquake Model of Self-Organized Criticality on a Random Graph
- 16 May 2002
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 88 (22) , 228301
- https://doi.org/10.1103/physrevlett.88.228301
Abstract
We numerically investigate the Olami-Feder-Christensen model on a quenched random graph. Contrary to the case of annealed random neighbors, we find that the quenched model exhibits self-organized criticality deep within the nonconservative regime. The probability distribution for avalanche size obeys finite size scaling, with universal critical exponents. In addition, a power law relation between the size and the duration of an avalanche exists. We propose that this may represent the correct mean-field limit of the model rather than the annealed random neighbor version.Keywords
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This publication has 27 references indexed in Scilit:
- Self-Organized CriticalityPublished by Cambridge University Press (CUP) ,1998
- Self-organized criticality in a sandpile model with threshold dissipationPhysical Review E, 1995
- Comment on ‘‘Self-organized criticality in a continuous, nonconservative cellular automaton modeling earthquakes’’Physical Review Letters, 1993
- Scaling, phase transitions, and nonuniversality in a self-organized critical cellular-automaton modelPhysical Review A, 1992
- Self-organized criticality in a continuous, nonconservative cellular automaton modeling earthquakesPhysical Review Letters, 1992
- Cascades and self-organized criticalityJournal of Statistical Physics, 1990
- Conservation laws, anisotropy, and ‘‘self-organized criticality’’ in noisy nonequilibrium systemsPhysical Review Letters, 1990
- Dissipative transport in open systems: An investigation of self-organized criticalityPhysical Review Letters, 1989
- Self-organized criticalityPhysical Review A, 1988
- Self-organized criticality: An explanation of the 1/fnoisePhysical Review Letters, 1987