R. Cafiero et al., POWER-LAW BEHAVIOR IN A NONEXTREMAL BAK-SNEPPEN MODEL, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 58(3), 1998, pp. 3993-3996
We propose a version of the Bak-Sneppen model in which the extremal dy
namics is relaxed onto a stochastic dynamics, dependent on the fitness
f. This system self-organizes into a stationary state, characterized
by the absence of a sharp threshold in the fitness distribution and by
nontrivial power law temporal correlations. The properties of these c
orrelations are studied and discussed in detail, and the behavior of t
he fitness distribution is studied analytically.