Glass transition in self organizing cellular patterns

Details Glass transition in self organizing cellular patterns Glass transition in self organizing cellular patterns

1998-07-14

arxiv.org/abs/cond-mat/9807201v3

J.Phys A 1999

Physics

Condensed Matter

Disordered Systems and Neural Networks

Added references, text minor changes

Scientific paper

10.1088/0305-4470/32/41/301

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.

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