Dynamic rewiring in small world networks
Disordered Systems and Neural Networks
2009-11-11 v1 Statistical Mechanics
Abstract
We investigate equilibrium properties of small world networks, in which both connectivity and spin variables are dynamic, using replicated transfer matrices within the replica symmetric approximation. Population dynamics techniques allow us to examine order parameters of our system at total equilibrium, probing both spin- and graph-statistics. Of these, interestingly, the degree distribution is found to acquire a Poisson-like form (both within and outside the ordered phase). Comparison with Glauber simulations confirms our results satisfactorily.
Cite
@article{arxiv.cond-mat/0508250,
title = {Dynamic rewiring in small world networks},
author = {J. P. L. Hatchett and N. S. Skantzos and T. Nikoletopoulos},
journal= {arXiv preprint arXiv:cond-mat/0508250},
year = {2009}
}
Comments
21 pages, 5 figures