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

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.

7 pages, 8 figures, minor corrections to previous version

References in corpus (3)

• Wetting Transition in the Two-Dimensional Blume-Capel Model: A Monte Carlo study
• First-order transition features of the 3D bimodal random-field Ising model
• Quenched bond randomness in marginal and non-marginal Ising spin models in 2D

Cited by in corpus (11)

• Dynamic phase transition of the Blume-Capel model in an oscillating magnetic field
• Spin dependence of the tricritical point in the mixed-spin Blume-Capel model on three-dimensional lattices: Metropolis and Wang-Landau sampling approaches
• Monte Carlo studies of the Blume-Capel model on nonregular two- and three-dimensional lattices: Phase diagrams, tricriticality, and critical exponents
• Tricriticality and finite-size scaling in the triangular Blume-Capel ferromagnet
• Structure of interfaces at phase coexistence. Theory and numerics
• Interface localization near criticality
• Interfacial adsorption in Potts models on the square lattice
• Monte Carlo study of the interfacial adsorption of the Blume-Capel model
• Transfer-matrix approach to the Blume-Capel model on the triangular lattice
• Interfacial adsorption in two-dimensional pure and random-bond Potts models
• Phase transition properties via partition function zeros: The Blume-Capel ferromagnet revisited