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

Author

Listed:
  • Ferreira, L.S.
  • Jorge, L.N.
  • DaSilva, C.J.
  • Caparica, A.A.

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.

Suggested Citation

  • Ferreira, L.S. & Jorge, L.N. & DaSilva, C.J. & Caparica, A.A., 2025. "An entropic approach to analyze phase transitions in the q=3 Potts model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 674(C).
    • Handle: RePEc:eee:phsmap:v:674:y:2025:i:c:s0378437125003462
    DOI: 10.1016/j.physa.2025.130694
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    References listed on IDEAS

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    1. Santos, E.D. & Ferreira, L.S. & Jorge, L.N. & Leão, S.A. & Caparica, A.A., 2022. "A temperature dependent ZGB-like model: Entropic sampling simulations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 589(C).
    2. Jorge, L.N. & Martins, P.H.L. & DaSilva, C.J. & Ferreira, L.S. & Caparica, A.A., 2021. "An entropic simulational study of the spin-1 Baxter–Wu model in a crystal field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 576(C).
    3. Caparica, A.A. & Leão, Salviano A. & DaSilva, Claudio J., 2015. "Static critical behavior of the q-states Potts model: High-resolution entropic study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 438(C), pages 447-453.
    4. N. G. Fytas, 2011. "Wang-Landau study of the triangular Blume-Capel ferromagnet," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 79(1), pages 21-28, January.
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    1. Jorge, L.N. & Ferreira, L.S. & Caparica, A.A., 2020. "On the order of the phase transition in the spin-1 Baxter–Wu model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 542(C).
    2. Santos, E.D. & Ferreira, L.S. & Jorge, L.N. & Leão, S.A. & Caparica, A.A., 2022. "A temperature dependent ZGB-like model: Entropic sampling simulations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 589(C).

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