Interface Tensions and Perfect Wetting in the Two-Dimensional Seven-State Potts Model

TL;DR

This paper numerically determines the interface tension in the 2D seven-state Potts model, confirming the perfect wetting conjecture with careful analysis of systematic effects and finite-size corrections.

Contribution

It provides the first precise numerical estimate of the interface tension in the 2D seven-state Potts model, supporting the perfect wetting hypothesis.

Findings

Measured =0.0114 b1 0.0012 for the interface tension.

Results are consistent with the perfect wetting conjecture.

Systematic effects and finite-size corrections were carefully analyzed.

Abstract

We present a numerical determination of the order-disorder interface tension, \sod, for the two-dimensional seven-state Potts model. We find $\sod=0.0114\pm0.0012$, in good agreement with expectations based on the conjecture of perfect wetting. We take into account systematic effects on the technique of our choice: the histogram method. Our measurements are performed on rectangular lattices, so that the histograms contain identifiable plateaus. The lattice sizes are chosen to be large compared to the physical correlation length. Capillary wave corrections are applied to our measurements on finite systems.