Article

Zeitschrift für Physik B Condensed Matter

, Volume 50, Issue 2, pp 113-116

First online:

Interfacial adsorption in planar potts models

  • Walter SelkeAffiliated withInstitut für Festkörperforschung der Kernforschungsanlage Jülich
  • , David A. HuseAffiliated withBaker Laboratory, Cornell University Ithaca

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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 asWt −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).