Power-law size distribution of supercritical random trees
Statistical Mechanics
2007-05-23 v1 Disordered Systems and Neural Networks
Abstract
The probability distribution P(k) of the sizes k of critical trees (branching ratio m=1) is well known to show a power-law behavior k^(-3/2). Such behavior corresponds to the mean-field approximation for many critical and self-organized critical phenomena. Here we show numerically and analytically that also supercritical trees (branching ration m>1) are "critical" in that their size distribution obeys a power-law k^(-2). We mention some possible applications of these results.
Cite
@article{arxiv.cond-mat/0109456,
title = {Power-law size distribution of supercritical random trees},
author = {Paolo De Los Rios},
journal= {arXiv preprint arXiv:cond-mat/0109456},
year = {2007}
}
Comments
To appear on Europhys. Lett