Eur. Phys. J. B (2013) 86: 365
https://doi.org/10.1140/epjb/e2013-40475-6

Regular Article

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

¹ Applied Mathematics Research Centre, Coventry University, Coventry, CV1 5FB, UK
² Institut für Theoretische Physik and JARA-HPC, RWTH Aachen University, 52056 Aachen, Germany

^a e-mail: selke@physik.rwth-aachen.de

Received: 11 May 2013
Received in final form: 18 July 2013
Published online: 2 September 2013

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.