Landau theory of glassy dynamics
arXiv:cond-mat/0402543 · doi:10.1103/PhysRevE.70.060501
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.
arXiv comment4 pages, 2 figures
References in corpus (7)
- Glassy dynamics of kinetically constrained models
- Models of traps and glass phenomenology
- Geometrical explanation and scaling of dynamical heterogeneities in glass forming systems
- Coarse-grained microscopic model of glass formers
- Hopping in a Supercooled Lennard-Jones Liquid: Metabasins, Waiting Time Distribution, and Diffusion
- Spatial structures and dynamics of kinetically constrained models for glasses
- Operator Spectrum and Exact Exponents of the Fully Packed Loop Model