Phys. Rev. Lett. 76, 348–351 (1996)Exact Results for Spatiotemporal Correlations in a Self-Organized Critical Model of Punctuated EquilibriumReceived 25 May 1995; published in the issue dated 15 January 1996 We introduce a self-organized critical model of punctuated equilibrium with many internal degrees of freedom ( M) per site. We find exact solutions for M→∞ of cascade equations describing avalanche dynamics in the steady state. This proves the existence of simple power laws with critical exponents that verify general scaling relations for nonequilibrium phenomena. Punctuated equilibrium is described by a devil's staircase with a characteristic exponent τfirst = 2-d/4 where d is the spatial dimension. © 1996 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.76.348
DOI:
10.1103/PhysRevLett.76.348
PACS:
64.60.Ht, 05.40.+j, 05.70.Jk, 87.10.+e
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