# How many phases nucleate in the bidimensional Potts model?

Source: [How many phases nucleate in the bidimensional Potts model?](<https://www.sota2.com/research/paper/68fa42441e209131ce901172>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T03:42:05.560Z

Authors: Federico Corberi, Leticia F. Cugliandolo, Marco Esposito, Onofrio Mazzarisi, Marco Picco

Published: 2021-02-01T17:27:53.000Z

## 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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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2102.01003>)

[PDF](<https://arxiv.org/pdf/2102.01003.pdf>)