Phys. Rev. Lett. 88, 228301 (2002) [4 pages]Nonconservative Earthquake Model of Self-Organized Criticality on a Random GraphReceived 26 February 2002; published 16 May 2002 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. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.88.228301
DOI:
10.1103/PhysRevLett.88.228301
PACS:
05.65.+b, 45.70.Ht, 89.75.Da, 91.30.Bi
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