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Interfacial adsorption in planar potts models

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Zeitschrift für Physik B Condensed Matter

Abstract

The net adsorption,W, of non-boundary states at interfaces in two-dimensional Potts models is studied using Monte Carlo techniques. For the three-and four-state Potts model the net adsorption is found to diverge when the critical point is approached asW∼t −ω, wheret=(Tc-T)/T. Finite-size effects have been also studied; for anN x N lattice the net adsorption at the bulk critical temperature behaves asW c∼Na. The numerical results for the exponents ω anda are consistent with a scaling argument that yields ω=ν-β anda=1-(β/ν).

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Authors and Affiliations

  1. Institut für Festkörperforschung der Kernforschungsanlage Jülich, Postfach 1913, D-5170, Ju:ulich 1, Federal Republic of Germany

    Walter Selke

  2. Baker Laboratory, Cornell University Ithaca, 14853, Ithaca, New York, USA

    David A. Huse

Authors
  1. Walter Selke
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  2. David A. Huse
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Selke, W., Huse, D.A. Interfacial adsorption in planar potts models. Z. Physik B - Condensed Matter 50, 113–116 (1983). https://doi.org/10.1007/BF01304093

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  • DOI: https://doi.org/10.1007/BF01304093

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