Growing Cayley trees described by Fermi distribution
Statistical Mechanics
2009-11-07 v2
Abstract
We introduce a model for growing Cayley trees with thermal noise. The evolution of these hierarchical networks reduces to the Eden model and the Invasion Percolation model in the limit , respectively. We show that the distribution of the bond strengths (energies) is described by the Fermi statistics. We discuss the relation of the present results with the scale-free networks described by Bose statistics.
Cite
@article{arxiv.cond-mat/0204506,
title = {Growing Cayley trees described by Fermi distribution},
author = {Ginestra Bianconi},
journal= {arXiv preprint arXiv:cond-mat/0204506},
year = {2009}
}