We study the kinetics of the two-dimensional q > 4-state Potts model after a shallow quench to a temperature slightly below the critical one 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 configurations exhibit correlations that are indistinguishable from the ones in equilibrium at T c(q) over longer and longer length scales as time elapses. The further decay from the metastable state occurs by nucleation of an average number k out of the q possible phases. For a given quench temperature, k is a logarithmically increasing function of the system size, bounded by q. This unusual finite size dependence is a consequence of a scaling property underlying the nucleation phenomenon for these parameters.

How many phases nucleate in the bidimensional Potts model?

Corberi F.;Mazzarisi O.;Picco M.
2022-01-01

Abstract

We study the kinetics of the two-dimensional q > 4-state Potts model after a shallow quench to a temperature slightly below the critical one 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 configurations exhibit correlations that are indistinguishable from the ones in equilibrium at T c(q) over longer and longer length scales as time elapses. The further decay from the metastable state occurs by nucleation of an average number k out of the q possible phases. For a given quench temperature, k is a logarithmically increasing function of the system size, bounded by q. This unusual finite size dependence is a consequence of a scaling property underlying the nucleation phenomenon for these parameters.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11386/4854455
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