How many phases nucleate in the bidimensional Potts model?

Abstract

We study the kinetics of the two-dimensional q > 4-state Potts model after a shallow quench slightly below the critical temperature and above the pseudo spinodal. We use numerical methods and we focus on intermediate values of q, 4 < q < 100. We show that, initially, the system evolves as if it were quenched to the critical temperature. The further decay from the metastable state occurs by nucleation of k out of the q possible phases. For a given quench temperature, k is a logarithmically increasing function of the system size. This unusual finite size dependence is a consequence of a scaling symmetry underlying the nucleation phenomenon for these parameters.

17 pages, 8 figures

References in corpus (8)

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• Coarsening and percolation in a disordered ferromagnet
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Cited by in corpus (4)

• Low-temperature universal dynamics of the bidimensional Potts model in the large q limit
• Out-of-equilibrium dynamics across the first-order quantum transitions of one-dimensional quantum Ising models
• Universal Scale Laws for Colors and Patterns in Imagery
• Spinodal-like scaling behavior after a temperature quench across the first-order phase transition in three-dimensional $q$-state Potts models