Wetting and interfacial adsorption in the Blume-Capel model on the square lattice

TL;DR

This study investigates wetting and interfacial adsorption phenomena in the Blume-Capel model on a square lattice, using Monte Carlo simulations to map phase diagrams and analyze the role of the non-boundary state.

Contribution

It introduces a detailed Monte Carlo analysis of wetting and interfacial adsorption in the Blume-Capel model, highlighting the influence of the zero spin state.

Findings

Phase diagrams of bulk and wetting transitions are mapped.

The zero spin state '0' preferentially adsorbs at interfaces.

Wetting behavior depends on boundary conditions and couplings.

Abstract

We study the Blume-Capel model on the square lattice. To allow for wetting and interfacial adsorption, the spins on opposite boundaries are fixed in two different states, "+1" and "-1", with reduced couplings at one of the boundaries. Using mainly Monte Carlo techniques, of Metropolis and Wang-Landau type, phase diagrams showing bulk and wetting transitions are determined. The role of the non-boundary state, "0", adsorbed preferably at the interface between "-1" and "+1" rich regions, is elucidated.