An entropic approach to analyze phase transitions in the q=3 Potts model

L.S. Ferreira, L.N. Jorge, C.J. DaSilva and A.A. Caparica

Physica A: Statistical Mechanics and its Applications, 2025, vol. 674, issue C

Abstract: Boltzmann’s microcanonical entropy is the link between statistical physics and thermodynamics, forasmuch as the behavior of any thermodynamic quantity is directly related to the number of microscopic configurations. Accordingly, in this work, we investigate the behavior of the logarithm of the density of states of the three-state Potts model with an external field applied to one of the states using joint entropic simulations based on the Wang–Landau algorithm. Our analysis reveals that the microcanonical entropy curve is detachable, and each resulting path is related to the formation of clusters. Such a description is consistent with the energy–entropy argument related to the inception of a phase transition. When the external field is negative and strong, the observed phase transition is from an ordered configuration to cluster formations.

Keywords: Potts model; Phase transition; Boltzmann’s microcanonical entropy; Entropic simulations (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:674:y:2025:i:c:s0378437125003462

DOI: 10.1016/j.physa.2025.130694

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