Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2000-08-02
J. Phys. A 33, 8615 (2000).
Physics
Condensed Matter
Disordered Systems and Neural Networks
11 pages LaTeX; minor textual corrcetions, minor corrections to figs 4 & 7c
Scientific paper
10.1088/0305-4470/33/48/302
In this article we study a simple, purely topological, cellular model which is allowed to evolve through a Glauber-Kawasaki process. We find a non-thermodynamic transition to a glassy phase in which the energy (defined as the square of the local cell topological charge) fails to reach the equilibrium value below a characteristic temperature which is dependent on the cooling rate. We investigate a correlation function which exhibits aging behaviour, and follows a master curve in the stationary regime when time is rescaled by a factor of the relaxation time t_r. This master curve can be fitted by a von Schweidler law in the late beta-relaxation regime. The relaxation times can be well-fitted at all temperatures by an offset Arrhenius law. A power law can be fitted to an intermediate temperature regime; the exponent of the power law and the von Schweidler law roughly agree with the relationship predicted by Mode-coupling Theory. By defining a suitable response function, we find that the fluctuation-dissipation ratio is held until sometime later than the appearance of the plateaux; non-monotonicity of the response is observed after this ratio is broken, a feature which has been observed in other models with dynamics involving activated processes.
Davison Lexie
Sherrington David
No associations
LandOfFree
Glassy behaviour in a simple topological model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Glassy behaviour in a simple topological model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Glassy behaviour in a simple topological model will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-402789