Interfacial adsorption in planar potts models


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).

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Selke, W., Huse, D.A. Interfacial adsorption in planar potts models. Z. Physik B - Condensed Matter 50, 113–116 (1983).

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