https://doi.org/10.1140/epjb/e2015-60326-8
Regular Article
Interfacial adsorption in Potts models on the square lattice
1
Applied Mathematics Research Centre, Coventry
University, Coventry,
CV1 5FB,
UK
2
Department of Physics, Section of Solid State Physics, University
of Athens, Panepistimiopolis,
GR
15784
Zografou,
Greece
3
Institut für Theoretische Physik and JARA-HPC, RWTH Aachen
University, 52056
Aachen,
Germany
4
Landau Institute for Theoretical Physics,
142432
Chernogolovka,
Russia
a
e-mail: selke@physik.rwth-aachen.de
Received: 25 April 2015
Published online: 10 August 2015
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.
Key words: Statistical and Nonlinear Physics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2015