Landau theory of glassy dynamics

Details Landau theory of glassy dynamics Landau theory of glassy dynamics

2004-02-21

arxiv.org/abs/cond-mat/0402543v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 2 figures

Scientific paper

10.1103/PhysRevE.70.060501

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.

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