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This research aims to explore the critical behavior of the $q$-state Potts model near its multicritical point.

Singularities and Scaling Functions at the Potts-Model Multicritical Point

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This research aims to explore the critical behavior of the $q$-state Potts model near its multicritical point.
Differential renormalization equations are proposed for the $q$-state Potts model.
The merging of critical and tricritical fixed points is analyzed as the dilution field becomes marginal.
At $q={q}_{c}$, an essential singularity emerges in latent heat as a function of $q={q}_{c}$.
A logarithm correction to the power-law behavior of free energy is observed as a function of $T-T_{c}$.

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Randomized trial investigates critical behavior near multicritical point in the Potts model, suggesting essential singularities.

Nauenberg et al. (1980) studied this question.

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