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Multiple metastable states in an off-lattice Potts model

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  • Farías, Constanza
  • Davis, Sergio

Abstract

The interactions between a group of components are commonly studied in several areas of science (social science, biology, material science, complex dynamical systems, among others) using the methods of thermodynamics and statistical mechanics. In this work we study the properties of the recently proposed off-lattice, two-dimensional Potts model (Davis et al., 2014), originally motivated by the dynamics of agent opinions, and which is described by a Hamiltonian obtained by a maximum entropy inference procedure. We performed microcanonical and canonical Monte Carlo simulations of the first-order phase transition in the model, revealing a caloric curve with metastable regions. Furthermore, we report a “switching” behavior between multiple metastable states. We also note that the thermodynamics of the model has striking similarities with systems having long-range interactions, even though the interactions are short-ranged.

Suggested Citation

  • Farías, Constanza & Davis, Sergio, 2021. "Multiple metastable states in an off-lattice Potts model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 581(C).
    • Handle: RePEc:eee:phsmap:v:581:y:2021:i:c:s037843712100488x
    DOI: 10.1016/j.physa.2021.126215
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    References listed on IDEAS

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    1. Sergio Davis & Yasmín Navarrete & Gonzalo Gutiérrez, 2014. "A maximum entropy model for opinions in social groups," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 87(4), pages 1-7, April.
    2. Moreno, Felipe & Davis, Sergio & Loyola, Claudia & Peralta, Joaquín, 2018. "Ordered metastable states in the Potts model and their connection with the superheated solid state," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 361-368.
    3. Atenas, Boris & Curilef, Sergio, 2021. "A statistical description for the Quasi-Stationary-States of the dipole-type Hamiltonian Mean Field Model based on a family of Vlasov solutions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 568(C).
    4. Pablo G. Debenedetti & Frank H. Stillinger, 2001. "Supercooled liquids and the glass transition," Nature, Nature, vol. 410(6825), pages 259-267, March.
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    Cited by:

    1. Constanza Farías & Sergio Davis, 2023. "Temperature distribution in finite systems: application to the one-dimensional Ising chain," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 96(3), pages 1-10, March.

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