Europhys. Lett.
Volume 72, Number 6, December 2005
Page(s) 1004 - 1010
Section Condensed matter: structural, mechanical and thermal properties
Published online 16 November 2005
Europhys. Lett., 72 (6), pp. 1004-1010 (2005)
DOI: 10.1209/epl/i2005-10334-5

3D wedge filling and 2D random-bond wetting

J. M. Romero-Enrique1 and A. O. Parry2

1  Departamento de Física Atómica, Molecular y Nuclear, Area de Física Teórica Universidad de Sevilla - Apartado de Correos 1065, 41080 Sevilla, Spain
2  Department of Mathematics, Imperial College - 180 Queen's Gate London SW7 2BZ, United Kingdom

received 19 July 2005; accepted in final form 19 October 2005
published online 16 November 2005

Fluids adsorbed in 3D wedges are shown to exhibit two types of continuous interfacial unbinding corresponding to critical and tricritical filling, respectively. Analytic solution of an effective interfacial model based on the transfer-matrix formalism allows us to obtain the asymptotic probability distribution functions for the interfacial height when criticality and tricriticality are approached. Generalised random-walk arguments show that, for systems with short-ranged forces, the critical singularities at these transitions are related to 2D complete and critical wetting with random-bond disorder, respectively.

68.08.Bc - Wetting.
05.70.Np - Interface and surface thermodynamics.
68.08.De - Structure: measurements and simulations.

© EDP Sciences 2005