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Ordered metastable states in the Potts model and their connection with the superheated solid state

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  • Moreno, Felipe
  • Davis, Sergio
  • Loyola, Claudia
  • Peralta, Joaquín

Abstract

The superheating effect, in which a solid is heated well above its melting temperature and remains in an ordered, metastable phase, is a well-known phenomenon in materials science. Superheating can be observed experimentally under carefully controlled conditions, and more routinely in atomistic computer simulations. In the context of simulations of superheating, the so-called Z-method is a recently developed technique which allows a precise characterization of the metastable solid state and the melting temperature. However, metastable states are also present in other first-order phase transitions such as the order–disorder transition in spin systems. In spite of all the available work on the behavior of superheated solids, there have been few attempts to characterize the metastable ordered phase in contexts other than melting.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:509:y:2018:i:c:p:361-368
    DOI: 10.1016/j.physa.2018.06.006
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    References listed on IDEAS

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    1. Ouchi, Noriyuki Bob & Glazier, James A. & Rieu, Jean-Paul & Upadhyaya, Arpita & Sawada, Yasuji, 2003. "Improving the realism of the cellular Potts model in simulations of biological cells," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 329(3), pages 451-458.
    2. 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.
    3. J. M. Kumpula & J. Saramäki & K. Kaski & J. Kertész, 2007. "Limited resolution in complex network community detection with Potts model approach," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 56(1), pages 41-45, March.
    4. Ispolatov, I & Cohen, E.G.D, 2001. "On first-order phase transitions in microcanonical and canonical non-extensive systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 295(3), pages 475-487.
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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.
    2. 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).
    3. Montecinos, Alejandra & Loyola, Claudia & Peralta, Joaquín & Davis, Sergio, 2021. "Microcanonical potential energy fluctuations and configurational density of states for nanoscale systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 562(C).

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