Lattice models of disorder with order

Abstract

This paper describes the use of simple lattice models for studying the properties of structurally disordered systems like glasses and granulates. The models considered have crystalline states as ground states, finite connectivity, and are not subject to constrained evolution rules. After a short review of some of these models, the paper discusses how two particularly simple kinds of models, the Potts model and the exclusion models, evolve after a quench at low temperature to glassy states rather than to crystalline states.

Cited by in corpus (4)

• Long term ordering kinetics of the two dimensional q-state Potts model
• Zero-Temperature Coarsening in the 2d Potts Model
• Crystal vs glass formation in lattice models with many coexisting ordered phases
• Disentangling Growth and Decay of Domains During Phase Ordering