Distinguish logarithmic and empirical tricritical crossover behavior

Determine whether the logarithmically corrected tricritical crossover ansatz or an empirical power law gives the correct interaction-range dependence of the tricritical-temperature shift in the three-dimensional degenerate blinking-checkers model.

Background

Because three-dimensional tricriticality occurs at the marginal dimension, conventional Ginzburg-number scaling does not apply, and logarithmic corrections are expected. The authors fit the tricritical-temperature shifts using both a logarithmically corrected ansatz and an empirical power law. The limited variation in the data, simulation uncertainty, and possible finite-size effects prevent a definitive choice between these alternatives.

References

Given the uncertainty of the simulation data, the limited variation in $\Delta\hat{T}{\text{TCP}$ (approximately one decade), and the possibility of finite-size effects at the largest $r\text{eff}$ values investigated the present results do not allow a clear distinction between these descriptions.

— Effects of Interaction Range on Fluid Multicriticality: A Computational Study of an Interconverting Lattice Model  (2609.09074 - Longo et al., 8 Sep 2026) in Section 3.2, paragraph “Tricritical Point”