Abstract
We introduce a self-organized critical model of punctuated equilibrium with many internal degrees of freedom ( ) per site. We find exact solutions for 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 where is the spatial dimension.
- Received 25 May 1995
DOI:https://doi.org/10.1103/PhysRevLett.76.348
©1996 American Physical Society