A new hierarchy of avalanches observed in Bak-Sneppen evolution model
Statistical Mechanics
2007-05-23 v1
Abstract
A new quantity, average fitness, is introduced in Bak-Sneppen evolution model. Through this new quantity, a new hierarchy of avalanches is observed in the evolution of Bak-Sneppen model. An exact gap equation, governing the self-organization of the model, is presented. It is found that the self-organized threshold of the new quantity can be exactly obtained. Two basic exponents, avalanche distribution and avalanche dimension are given through simulations of one- and two-dimensional Bak-Sneppen models. It is suggested that this new quantity may be a good quantity in determining the emergence of criticality.
Keywords
Cite
@article{arxiv.cond-mat/9905239,
title = {A new hierarchy of avalanches observed in Bak-Sneppen evolution model},
author = {W. Li and X. Cai},
journal= {arXiv preprint arXiv:cond-mat/9905239},
year = {2007}
}
Comments
6 pages, 4 figures