POWER-LAW BEHAVIOR IN A NONEXTREMAL BAK-SNEPPEN MODEL

Citation
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
Citations number
14
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
58
Issue
3
Year of publication
1998
Part
B
Pages
3993 - 3996
Database
ISI
SICI code
1063-651X(1998)58:3<3993:PBIANB>2.0.ZU;2-U
Abstract
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.