Triangular lattice solution for filling in a wedge

¹ Department of Theoretical Physics, Oxford University 1 Keble Road, Oxford, OX1 3NP, UK
² Helsinki University of Technology, Laboratory of Computational Engineering P.O. Box 9203, FIN-02015, Finland

Received: 23 April 2003
Accepted: 5 June 2003

Abstract

We give new analytical and numerical results for the wetting and filling problems in the triangular lattice Ising ferromagnet. Both the surface tension in the bulk and the wall free energy in the presence of a surface field are obtained exactly using the transfer matrix method. We use a thermodynamic argument to obtain the exact condition for the filling transition and perform Monte Carlo simulations to verify the applicability of this argument.