Capillary Wave Approach to Order-Order Fluid Interfaces in the 3D Three-State Potts Model

TL;DR

This paper investigates the interface properties in the 3D three-state Potts model using Monte Carlo simulations, demonstrating that the capillary wave model accurately describes finite-size effects and supports its universality in 3D statistical systems.

Contribution

It provides the first detailed Monte Carlo analysis confirming the capillary wave model's applicability to 3D Potts model interfaces, including two-loop order effects.

Findings

Finite-size effects are well described by the capillary wave model.

Supports universality of the capillary wave description in 3D models.

Validates the capillary wave model at two-loop order for fluid interfaces.

Abstract

The physics of fluid interfaces between domains of different magnetization in the ordered phase of the 3D three-state Potts model is studied by means of a Monte Carlo simulation. It is shown that finite--size effects in the interface free energy are well described by the capillary wave model at two loop order, supporting the idea of the universality of this description of fluid interfaces in 3D statistical models.