Measures of Spin Ordering in the Potts Model with a Generalized External Magnetic Field

Shu-Chiuan Chang; Robert Shrock

doi:10.1016/j.physa.2023.128532

Measures of Spin Ordering in the Potts Model with a Generalized External Magnetic Field

Statistical Mechanics 2023-02-10 v1 Mathematical Physics math.MP

Authors: Shu-Chiuan Chang , Robert Shrock

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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 $I_s = \{1,...,s\}$ 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.

Keywords

potts model generalized external field spin ordering ferromagnetic q-state magnetic field

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@article{arxiv.2301.13746,
  title  = {Measures of Spin Ordering in the Potts Model with a Generalized External Magnetic Field},
  author = {Shu-Chiuan Chang and Robert Shrock},
  journal= {arXiv preprint arXiv:2301.13746},
  year   = {2023}
}

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22 pages, 6 figures, accepted for publication in Physica A

Measures of Spin Ordering in the Potts Model with a Generalized External Magnetic Field

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