Extreme Fluctuations in Small-Worlds with Relaxational Dynamics
Statistical Mechanics
2007-05-23 v1 Disordered Systems and Neural Networks
Abstract
We study the distribution and scaling of the extreme height fluctuations for Edwards-Wilkinson-type relaxation on small-world substrates. When random links are added to a one-dimensional lattice, the average size of the fluctuations becomes finite (synchronized state) and the extreme height diverges only logarithmically in the large system-size limit. This latter property ensures synchronization in a practical sense in small-world coupled multi-component autonomous systems. The statistics of the extreme heights is governed by the Fisher-Tippett-Gumbel distribution.
Cite
@article{arxiv.cond-mat/0311575,
title = {Extreme Fluctuations in Small-Worlds with Relaxational Dynamics},
author = {H. Guclu and G. Korniss},
journal= {arXiv preprint arXiv:cond-mat/0311575},
year = {2007}
}
Comments
4 pages, 2 figures