Glass transition in self-organizing cellular patterns

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 configura tion, but beneath this temperature there is a dynamical phase transition, w ith a start from a quasi-random state leading to non-equilibrium glassy fre ezing whereas an ordered start rests almost unchanged. A temporal persisten ce function decays exponentially in the high-temperature equilibrating stat e bur has a characteristic slow non-equilibrium ageing-like behaviour in th e low-temperature glassy phase.