Glassiness and constrained dynamics of a short-range non-disordered spin model
Abstract
We study the low temperature dynamics of a two dimensional short-range spin system with uniform ferromagnetic interactions, which displays glassiness at low temperatures despite the absence of disorder or frustration. The model has a dual description in terms of free defects subject to dynamical constraints, and is an explicit realization of the ``hierarchically constrained dynamics'' scenario for glassy systems. We give a number of exact results for the statics of the model, and study in detail the dynamical behaviour of one-time and two-time quantities. We also consider the role played by the configurational entropy, which can be computed exactly, in the relation between fluctuations and response.
Cite
@article{arxiv.cond-mat/0007372,
title = {Glassiness and constrained dynamics of a short-range non-disordered spin model},
author = {Juan P. Garrahan and M. E. J. Newman},
journal= {arXiv preprint arXiv:cond-mat/0007372},
year = {2009}
}
Comments
10 pages, 9 figures; minor changes, references added