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 as W∼t^-ω, where t=(T_c-T)/T. Finite-size effects have been also studied; for an N x N lattice the net adsorption at the bulk critical temperature behaves as W_c∼N^a. The numerical results for the exponents ω and a are consistent with a scaling argument that yields ω=ν-β and a=1-(β/ν).