3D wedge filling and 2D random-bond wetting

Abstract

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.

7 pages, 3 figures, accepted for publication in Europhysics Letters

References in corpus (5)

• Filling transition for a wedge
• Critical Effects at 3D Wedge-Wetting
• Wedge filling, cone filling and the strong fluctuation regime
• Three-dimensional wedge filling in ordered and disordered systems
• The problem of uniqueness in the reduced description of adsorption on the wedge-shaped substrate

Cited by in corpus (7)

• Density functional study of complete, first-order and critical wedge filling transitions
• Controlling the order of wedge filling transitions: the role of line tension
• Filling and wetting transitions on sinusoidal substrates: a mean-field study of the Landau-Ginzburg model
• Renormalisation group determination of the order of the DNA denaturation transition
• Curvature corrections to the nonlocal interfacial model for short-ranged forces
• Observation of a tricritical wedge filling transition in the 3D Ising model
• Damage Spreading at the Corner Filling Transition in the two-dimensional Ising Model