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Landau theory of glassy dynamics

Satya N. Majumdar·Dibyendu Das·Jane' Kondev·Bulbul Chakraborty
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Abstract

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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Satya N. Majumdar, Dibyendu Das, Jane' Kondev, Bulbul Chakraborty. 2004-02-21. Landau theory of glassy dynamics. https://doi.org/10.1103/physreve.70.060501

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