Landau theory of glassy dynamics
Statistical Mechanics
2009-11-10 v1 Soft Condensed Matter
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.
Keywords
Cite
@article{arxiv.cond-mat/0402543,
title = {Landau theory of glassy dynamics},
author = {Satya N. Majumdar and Dibyendu Das and Jane' Kondev and Bulbul Chakraborty},
journal= {arXiv preprint arXiv:cond-mat/0402543},
year = {2009}
}
Comments
4 pages, 2 figures