Finite Size Effects in Fluid Interfaces

TL;DR

This paper demonstrates that finite size effects in the free energy of rough interfaces in 3D Ising and Potts models are accurately described by the two-loop capillary wave model, supported by Monte Carlo simulations.

Contribution

It provides the first detailed two-loop theoretical analysis of finite size effects in 3D statistical system interfaces, confirming universality across models.

Findings

Two-loop capillary wave model accurately predicts finite size effects.

Strong agreement between theory and Monte Carlo simulations.

Supports universality of interface behavior in 3D systems.

Abstract

It is shown that finite size effects in the free energy of a rough interface of the 3D Ising and three--state Potts models are well described by the capillary wave model at {\em two--loop} order. The agreement between theoretical predictions and Monte Carlo simulations strongly supports the idea of the universality of this description of order--order interfaces in 3D statistical systems above the roughening temperature.