Rough Interfaces Beyond the Gaussian Approximation

TL;DR

This paper compares advanced theoretical predictions of the Capillary Wave Model with Monte Carlo simulations for the 3D Ising model, showing improved accuracy beyond the Gaussian approximation in finite size effects.

Contribution

It extends the Capillary Wave Model to two-loop order, providing a more accurate description of surface phenomena in the 3D Ising model.

Findings

Finite size effects are well described by the two-loop Capillary Wave Model

The two-loop expansion improves agreement with Monte Carlo results

Gaussian approximation is insufficient for precise predictions

Abstract

We compare predictions of the Capillary Wave Model beyond its Gaussian approximation with Monte Carlo results for the energy gap and the surface energy of the 3D Ising model in the scaling region. Our study reveals that the finite size effects of these quantities are well described by the Capillary Wave Model, expanded to two--loop order ( one order beyond the Gaussian approximation).