Levy-Nearest-Neighbors Bak-Sneppen Model
Abstract
We study a random neighbor version of the Bak-Sneppen model, where "nearest neighbors" are chosen according to a probability distribution decaying as a power-law of the distance from the active site, P(x) \sim |x-x_{ac }|^{-\omega}. All the exponents characterizing the self-organized critical state of this model depend on the exponent \omega. As \omega tends to 1 we recover the usual random nearest neighbor version of the model. The pattern of results obtained for a range of values of \omega is also compatible with the results of simulations of the original BS model in high dimensions. Moreover, our results suggest a critical dimension d_c=6 for the Bak-Sneppen model, in contrast with previous claims.
Cite
@article{arxiv.cond-mat/9906337,
title = {Levy-Nearest-Neighbors Bak-Sneppen Model},
author = {R. Cafiero and P. De Los Rios and A. Valleriani and J. L. Vega},
journal= {arXiv preprint arXiv:cond-mat/9906337},
year = {2009}
}
Comments
To appear on Phys. Rev. E, Rapid Communications