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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.
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Contributor : Marco Picco Connect in order to contact the contributor
Submitted on : Tuesday, October 26, 2021 - 1:10:07 PM
Last modification on : Wednesday, November 23, 2022 - 9:22:55 AM

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Federico Corberi, Leticia F. Cugliandolo, Marco Esposito, Onofrio Mazzarisi, Marco Picco. How many phases nucleate in the bidimensional Potts model?. Journal of Statistical Mechanics: Theory and Experiment, 2022, ⟨10.1088/1742-5468/ac7aa9⟩. ⟨hal-03403866⟩



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