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arXiv · 2102.01003

How many phases nucleate in the bidimensional Potts model?

Federico Corberi·Leticia F. Cugliandolo·Marco Esposito·Onofrio Mazzarisi·Marco Picco
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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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Federico Corberi, Leticia F. Cugliandolo, Marco Esposito, Onofrio Mazzarisi, Marco Picco. 2021-02-01. How many phases nucleate in the bidimensional Potts model?. https://doi.org/10.1088/1742-5468%2Fac7aa9

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