pith. sign in

arxiv: cond-mat/9807201 · v3 · submitted 1998-07-14 · ❄️ cond-mat.dis-nn

Glass transition in self organizing cellular patterns

classification ❄️ cond-mat.dis-nn
keywords temperaturestatecellulardynamicalevolutionglassynon-equilibriumpatterns
0
0 comments X
read the original 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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.