Crystal vs glass formation in lattice models with many coexisting ordered phases

Abstract

We present here new evidence that after a quench the planar Potts model on the square lattice relaxes towards a glassy state if the number of states q is larger than four. By extrapolating the finite size data we compute the average energy of these states for the infinite system with periodic boundary conditions, and find that it is comparable with that previously found using fixed boundary conditions. We also report preliminary results on the behaviour of these states in the presence of thermal fluctuations

7 pages with 5 figures

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Cited by in corpus (9)

• Long term ordering kinetics of the two dimensional q-state Potts model
• Zero-Temperature Coarsening in the 2d Potts Model
• Topology Controlled Potts Coarsening
• Phase separation of the Potts model in que square lattice
• Ordering dynamics in the presence of multiple phases
• Dynamical heterogeneities as fingerprints of a backbone structure in Potts models
• High-degeneracy Potts coarsening
• Disentangling Growth and Decay of Domains During Phase Ordering
• Boltzmann Temperature in out-of-equilibrium lattice gas