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Interfacial adsorption in Potts models on the square lattice

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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.

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Authors and Affiliations

  1. Applied Mathematics Research Centre, Coventry University, Coventry, CV1 5FB, UK

    Nikolaos G. Fytas & Anastasios Malakis

  2. Department of Physics, Section of Solid State Physics, University of Athens, Panepistimiopolis, GR 15784, Zografou, Greece

    Anastasios Malakis

  3. Institut für Theoretische Physik and JARA-HPC, RWTH Aachen University, 52056, Aachen, Germany

    Walter Selke

  4. Landau Institute for Theoretical Physics, 142432, Chernogolovka, Russia

    Lev N. Shchur

Authors
  1. Nikolaos G. Fytas
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  2. Anastasios Malakis
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  3. Walter Selke
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  4. Lev N. Shchur
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Correspondence to Walter Selke.

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Fytas, N.G., Malakis, A., Selke, W. et al. Interfacial adsorption in Potts models on the square lattice. Eur. Phys. J. B 88, 204 (2015). https://doi.org/10.1140/epjb/e2015-60326-8

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  • DOI: https://doi.org/10.1140/epjb/e2015-60326-8

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