Glassy states in lattice models with many coexisting crystalline phases

Abstract

We study the emergence of glassy states after a sudden cooling in lattice models with short range interactions and without any a priori quenched disorder. The glassy state emerges whenever the equilibrium model possesses a sufficient number of coexisting crystalline phases at low temperatures, provided the thermodynamic limit be taken before the infinite time limit. This result is obtained through simulations of the time relaxation of the standard Potts model and some exclusion models equipped with a local stochastic dynamics on a square lattice.

12 pages, 4 figures

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Cited by in corpus (12)

• Curvature-driven coarsening in the two dimensional Potts model
• Long term ordering kinetics of the two dimensional q-state Potts model
• Geometrical properties of Potts model during the coarsening regime
• Zero-Temperature Coarsening in the 2d Potts Model
• Ising Ferromagnet: Zero-Temperature Dynamic Evolution
• Topology Controlled Potts Coarsening
• Phase separation of the Potts model in que square lattice
• Crystal vs glass formation in lattice models with many coexisting ordered phases
• Ordering dynamics in the presence of multiple phases
• High-degeneracy Potts coarsening
• Dynamical heterogeneities as fingerprints of a backbone structure in Potts models
• Disentangling Growth and Decay of Domains During Phase Ordering