Sensitivity to Initial Conditions and Nonextensivity in Biological Evolution
Statistical Mechanics
2008-02-03 v1 q-bio
Abstract
We consider biological evolution as described within the Bak and Sneppen 1993 model. We exhibit, at the self-organized critical state, a power-law sensitivity to the initial conditions, calculate the associated exponent, and relate it to the recently introduced nonextensive thermostatistics. The scenario which here emerges without tuning strongly reminds that of the tuned onset of chaos in say logistic-like onedimensional maps. We also calculate the dynamical exponent z.
Cite
@article{arxiv.cond-mat/9612196,
title = {Sensitivity to Initial Conditions and Nonextensivity in Biological Evolution},
author = {Francisco A. Tamarit and Sergio A. Cannas and Constantino Tsallis},
journal= {arXiv preprint arXiv:cond-mat/9612196},
year = {2008}
}
Comments
9 pages (RevTex), 3 PS figures