Local equilibrium in the Bak-Sneppen model
Adaptation and Self-Organizing Systems
2018-04-25 v1 Statistical Mechanics
Populations and Evolution
Abstract
The Bak Sneppen (BS) model is a very simple model that exhibits all the richness of self-organized criticality theory. At the thermodynamic limit, the BS model converges to a situation where all particles have a fitness that is uniformly distributed between a critical value and 1. The value is unknown, as are the variables that influence and determine this value. Here, we study the Bak Sneppen model in the case in which the lowest fitness particle interacts with an arbitrary even number of nearest neighbors. We show that verifies a simple local equilibrium relationship. Based on this relationship, we can determine bounds for .
Cite
@article{arxiv.1709.08468,
title = {Local equilibrium in the Bak-Sneppen model},
author = {Daniel Fraiman},
journal= {arXiv preprint arXiv:1709.08468},
year = {2018}
}