Rough Interfaces Beyond the Gaussian Approximation

TL;DR

This paper compares the Capillary Wave Model's predictions with Monte Carlo simulations for the 3D Ising model, showing that the model accurately describes finite size effects beyond the Gaussian approximation.

Contribution

It extends the Capillary Wave Model to two-loop order and demonstrates its effectiveness in capturing finite size effects in the 3D Ising model.

Findings

Capillary Wave Model matches Monte Carlo results for energy gap

Finite size effects are well described by the two-loop expansion

Beyond-Gaussian corrections improve model accuracy

Abstract

We compare predictions of the Capillary Wave Model with Monte Carlo results for the energy gap and the interface 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).