Europhys. Lett.
Volume 63, Number 3, August 2003
Page(s) 408 - 414
Section Condensed matter: structure, mechanical and thermal properties
Published online 01 November 2003
DOI: 10.1209/epl/i2003-00545-8
Europhys. Lett., 63 (3) , pp. 408-414 (2003)

Triangular lattice solution for filling in a wedge

D. B. Abraham1, V. Mustonen1, 2 and A. J. Wood1

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 in final form 5 June 2003)

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.

68.08.Bc - Wetting.
68.35.Rh - Phase transitions and critical phenomena.

© EDP Sciences 2003