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

TL;DR

This paper introduces new measures of spin ordering in the Potts model under a generalized external magnetic field, extending traditional measures to account for subsets of spin values, with illustrative calculations provided.

Contribution

It develops generalized measures of spin ordering in the Potts model for fields favoring subsets of spins, expanding beyond single-value external fields.

Findings

New measures of spin ordering for subset-favoring fields

Comparison with single-value external field measures

Illustrative calculations demonstrating the measures

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.