Interface Motion and Pinning in Small World Networks
Abstract
We show that the nonequilibrium dynamics of systems with many interacting elements located on a small-world network can be much slower than on regular networks. As an example, we study the phase ordering dynamics of the Ising model on a Watts-Strogatz network, after a quench in the ferromagnetic phase at zero temperature. In one and two dimensions, small-world features produce dynamically frozen configurations, disordered at large length scales, analogous of random field models. This picture differs from the common knowledge (supported by equilibrium results) that ferromagnetic short-cuts connections favor order and uniformity. We briefly discuss some implications of these results regarding the dynamics of social changes.
Cite
@article{arxiv.cond-mat/0210352,
title = {Interface Motion and Pinning in Small World Networks},
author = {Denis Boyer and Octavio Miramontes},
journal= {arXiv preprint arXiv:cond-mat/0210352},
year = {2009}
}
Comments
4 pages, 5 figures with minor corrections. To appear in Phys. Rev. E