Glass transition in self organizing cellular patterns
Disordered Systems and Neural Networks
2009-10-31 v3
Abstract
We have considered the dynamical evolution of cellular patterns controlled by a stochastic Glauber process determined by the deviations of local cell topology from that of a crystalline structure. Above a critical temperature evolution is towards a common equilibrium state from any initial configuration, but beneath this temperature there is a dynamical phase transition, with a start from a quasi-random state leading to non-equilibrium glassy freezing whereas an ordered start rests almost unchanged. A temporal persistence function decays exponentially in the high temperature equilibrating state but has a characteristic slow non-equilibrium aging-like behaviour in the low temperature glassy phase.
Cite
@article{arxiv.cond-mat/9807201,
title = {Glass transition in self organizing cellular patterns},
author = {Tomaso Aste and David Sherrington},
journal= {arXiv preprint arXiv:cond-mat/9807201},
year = {2009}
}
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