Tomaso Aste and David Sherrington 1999 J. Phys. A: Math. Gen. 32 7049 doi:10.1088/0305-4470/32/41/301
Glass transition in self-organizing cellular patterns
Tomaso Aste
and David Sherrington
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 ageing-like behaviour in the low-temperature glassy phase.
- PACS
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64.70.P- Glass transitions of specific systems
- MSC
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82D30 Random media, disordered materials (including liquid crystals and spin glasses)
37B50 Multi-dimensional shifts of finite type, tiling dynamics
- Subjects
- Dates
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Issue 41 (15 October 1999)
Received 3 June 1999
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Glass transition in self-organizing cellular patterns
Tomaso Aste and David Sherrington 1999 J. Phys. A: Math. Gen. 32 7049
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