Interfacial adsorption in Potts models on the square lattice

Abstract

We study the effect of interfacial phenomena in two-dimensional perfect and random (or disordered) $q$-state Potts models with continuous phase transitions, using, mainly, Monte Carlo techniques. In particular, for the total interfacial adsorption, the critical behavior, including corrections to scaling, are analyzed. The role of randomness is scrutinized. Results are discussed applying scaling arguments and invoking findings for bulk critical properties. In all studied cases, i.e., $q=3$, $4$, and $q=8$, the spread of the interfacial adsorption profiles is observed to increase linearly with the lattice size at the bulk transition point.

6 pages, 6 eps figures, 1 table, minor corrections, accepted for publication in Eur. Phys. J. B

References in corpus (6)

• Wetting Transition in the Two-Dimensional Blume-Capel Model: A Monte Carlo study
• SLE in the three-state Potts model - a numerical study
• Exact theory of intermediate phases in two dimensions
• Wetting and interfacial adsorption in the Blume-Capel model on the square lattice
• Critical behavior of interfaces in disordered Potts ferromagnets : statistics of free-energy, energy and interfacial adsorption
• High-precision determination of universal amplitude ratios for the q=3 Potts model in 2d

Cited by in corpus (4)

• Ising universality in the two-dimensional Blume-Capel model with quenched random crystal field
• Structure of interfaces at phase coexistence. Theory and numerics
• Monte Carlo study of the interfacial adsorption of the Blume-Capel model
• Interfacial adsorption in two-dimensional pure and random-bond Potts models