Critical Effects at 3D Wedge-Wetting

Abstract

We show that continuous filling or wedge-wetting transitions are possible in 3D wedge-geometries made from (angled) substrates exhibiting first-order wetting transitions and develop a comprehensive fluctuation theory yielding a complete classification of the critical behaviour. Our fluctuation theory is based on the derivation of a Ginzburg criterion for filling and also an exact transfer-matrix analysis of a novel effective Hamiltonian which we propose as a model for wedge fluctuation effects. The influence of interfacial fluctuations is shown to be very strong and, in particular, leads to a remarkable universal divergence of the interfacial roughness ${\xi }_{\perp }\sim (T_F-T{)}^{-1/4}$ on approaching the filling temperature $T_F$, valid for all possible types of intermolecular forces.

4 pages, 2 figures

References in corpus (1)

• Universality for 2D Wedge Wetting

Cited by in corpus (41)

• Geometry dominated fluid adsorption on sculptured substrates
• Critical phenomena at perfect and non-perfect surfaces
• Wedge filling, cone filling and the strong fluctuation regime
• Does surface roughness amplify wetting?
• Critical Point Wedge Filling
• Wedge covariance for 2D filling and wetting
• Covariance for Conic and Wedge Complete Filling
• Phase separation in a wedge. Exact results
• Universal phase boundary shifts for corner wetting and filling
• The pressure tensor across a liquid-vapour interface
• Three-dimensional wedge filling in ordered and disordered systems
• Modified Kelvin equations for capillary condensation in narrow and wide grooves
• Does adsorption in a single nanogroove exhibit hysteresis?
• Filling and wetting transitions at grooved substrates
• Condensation and evaporation transitions in deep capillary grooves
• The problem of uniqueness in the reduced description of adsorption on the wedge-shaped substrate
• Density functional study of complete, first-order and critical wedge filling transitions
• Capillary Contact Angle in a Completely Wet Groove
• Filling transitions in acute and open wedges
• Controlling the order of wedge filling transitions: the role of line tension
• The influence of droplet size on line tension
• Droplet shapes on structured substrates and conformal invariance
• 3D wedge filling and 2D random-bond wetting
• Phase transitions in nanosystems caused by interface motion: The Ising bi-pyramid with competing surface fields
• Edge Contact Angle, Capillary Condensation, and Meniscus Depinning
• Bridging of liquid drops at chemically structured walls
• Tricritical wedge filling transitions with short-ranged forces
• Point tension in adsorption at a chemically inhomogeneous substrate in two dimensions
• Filling and wetting transitions on sinusoidal substrates: a mean-field study of the Landau-Ginzburg model
• Interfacial structure at a two-dimensional wedge filling transition: exact results and a renormalization group study
• Critical wetting in power-law wedge geometries
• Capillary Condensation and Depinning Transitions in Open Slits
• Interfacial fluctuations near the critical filling transition
• Corner wetting in a far-from-equilibrium magnetic growth model
• Scaling of wetting and pre-wetting transitions on nano-patterned walls
• The Influence of Intermolecular Forces at Critical Point Wedge Filling
• Curvature corrections to the nonlocal interfacial model for short-ranged forces
• Wedge wetting by electrolyte solutions
• Crossover scaling of apparent first-order wetting in two dimensional systems with 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