Landau theory of glassy dynamics

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