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Measures of spin ordering in the Potts model with a generalized external magnetic field

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  • Chang, Shu-Chiuan
  • Shrock, Robert

Abstract

We formulate measures of spin ordering in the q-state ferromagnetic Potts model in a generalized external magnetic field that favors or disfavors spin values in a subset Is={1,…,s} of the total set of q values. The results are contrasted with the corresponding measures of spin ordering in the case of a conventional external magnetic field that favors or disfavors a single spin value out of total set of q values. Some illustrative calculations are included.

Suggested Citation

  • Chang, Shu-Chiuan & Shrock, Robert, 2023. "Measures of spin ordering in the Potts model with a generalized external magnetic field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 613(C).
    • Handle: RePEc:eee:phsmap:v:613:y:2023:i:c:s0378437123000870
    DOI: 10.1016/j.physa.2023.128532
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    References listed on IDEAS

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    1. Shrock, Robert, 2000. "Exact Potts model partition functions on ladder graphs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 283(3), pages 388-446.
    2. Chang, Shu-Chiuan & Shrock, Robert, 2000. "Exact Potts model partition function on strips of the triangular lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 286(1), pages 189-238.
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