Satya Majumdar 1, 2, Dibyendu Das 3, Jane’ Kondev 4, Bulbul Chakraborty 4
Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 70 (2004) 060501
An exact solution of a Landau model of an order-disorder transition with activated critical dynamics is presented. The model describes a funnel-shaped topography of the order parameter space in which the number of energy lowering trajectories rapidly diminishes as the ordered ground-state is approached. This leads to an asymmetry in the effective transition rates which results in a non-exponential relaxation of the order-parameter fluctuations and a Vogel-Fulcher-Tammann divergence of the relaxation times, typical of a glass transition. We argue that the Landau model provides a general framework for studying glassy dynamics in a variety of systems.
- 1. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS),
CNRS : UMR8626 – Université Paris XI – Paris Sud - 2. Laboratoire de Physique Théorique – IRSAMC (LPT),
CNRS : UMR5152 – Université Paul Sabatier – Toulouse III - 3. Department of Physics,
Indian Institute of Technology Bombay - 4. Martin Fisher School of Physics,
Brandeis University