Breather lattices as pseudospin glasses
Statistical Mechanics
2007-05-23 v1
Abstract
We study the thermodynamics of discrete breathers by transforming a lattice of weakly coupled nonlinear oscillators into an effective Ising pseudospin model. We introduce a replica ensemble and investigate the effective system susceptibilities through the replica overlap distribution. We find that a transition occurs at a given temperature to a new phase characterized by a slow decay of the relevant correlation functions. Comparison of long time pseudospin correlation functions to maximal replica overlap demonstrates that the high temperature phase has glassy-like properties induced by short range order found in the system.
Cite
@article{arxiv.cond-mat/0308070,
title = {Breather lattices as pseudospin glasses},
author = {M. Eleftheriou and G. P. Tsironis},
journal= {arXiv preprint arXiv:cond-mat/0308070},
year = {2007}
}
Comments
19 pages, 6 figures