Monte Carlo simulation of a two-field effective Hamiltonian of complete wetting

TL;DR

This paper uses Monte Carlo simulations to study an effective two-field Hamiltonian for complete wetting, confirming predictions of a renormalized wetting parameter and clarifying discrepancies between theoretical models and simulations.

Contribution

It provides the first extensive Monte Carlo simulation results for the two-field model of complete wetting, supporting the renormalization predictions of the wetting parameter.

Findings

Simulation results agree with the renormalized wetting parameter $$ prediction.

The two-field Hamiltonian effectively describes the wetting transition.

Results reconcile differences between RG analysis and Monte Carlo simulations.

Abstract

Recent work on the complete wetting transition for three dimensional systems with short-ranged forces has emphasized the role played by the coupling of order-parameter fluctuations near the wall and depinning interface. It has been proposed that an effective two-field Hamiltonian, which predicts a renormalisation of the wetting parameter, could explain the controversy between RG analysis of the capillary-wave model and Monte Carlo simulations on the Ising model. In this letter results of extensive Monte Carlo simulations of the two-field model are presented. The results are in agreement with prediction of a renormalized wetting parameter $\omega $.