Stochastic Growth in a Small World
Statistical Mechanics
2007-05-23 v1 Disordered Systems and Neural Networks
Abstract
We considered the Edwards-Wilkinson model on a small-world network. We studied the finite-size behavior of the surface width by performing exact numerical diagonalization for the underlying coupling matrix. We found that the spectrum exhibits a gap or a pseudo-gap, which is responsible for a finite width in the thermodynamic limit for an arbitrarily weak but nonzero magnitude of the random interactions.
Keywords
Cite
@article{arxiv.cond-mat/0305025,
title = {Stochastic Growth in a Small World},
author = {B. Kozma and G. Korniss},
journal= {arXiv preprint arXiv:cond-mat/0305025},
year = {2007}
}
Comments
16th Annual Workshop: Recent Developments in Computer Simulation Studies in Condensed Matter Physics, University of Georgia, GA (February 27, 2003)