On the High-dimensional Bak-Sneppen model
Statistical Mechanics
2009-10-31 v1 Soft Condensed Matter
Abstract
We report on extensive numerical simulations on the Bak-Sneppen model in high dimensions. We uncover a very rich behavior as a function of dimensionality. For d>2 the avalanche cluster becomes fractal and for d \ge 4 the process becomes transient. Finally the exponents reach their mean field values for d=d_c=8, which is then the upper critical dimension of the Bak Sneppen model.
Keywords
Cite
@article{arxiv.cond-mat/9802069,
title = {On the High-dimensional Bak-Sneppen model},
author = {P. De Los Rios and M. Marsili and M. Vendruscolo},
journal= {arXiv preprint arXiv:cond-mat/9802069},
year = {2009}
}
Comments
4 pages, 3 eps figures