In a JCIS paper, we have developed a complete theory for the wetting on a circular cylinder. In our setup, the liquid-vapor interface has a finite lateral span L. By varying L from microscopic to macroscopic scales, we are able to study the crossover of a meniscus from a surface of revolution with a constant mean curvature to the one governed by gravity. We have a derived an approximate formula that can accurately predict the meniscus height for an arbitrary value of L.
In a PRE paper, we have developed a complete theory for the meniscus on the outside of a small particle at a liquid-vapor interface. We show that the capillary force on the particle is roughly proportional to its displacement out of its equilibrium location at the interface when the displacement is small. The result is the Joanny-de Gennes law with a modified spring constant, which was previously discussed for the pinning of a contact line by a defect.
In a Langmuir paper, we used the similar method as in the previous PRE paper to examine the capillary adhesion induced by a liquid bridge between two flat surfaces. This is a cleaner system to demonstrate the effect of disjoining pressure on the capillary adhesion when the separation between the plates gets to the nanometer scales. In this regime, the capillary force shows clear oscillation with respect to the separation between the plates. Our results are relevant in the understanding of capillary adhesion between surfaces at the nanometer scales.
In a PRE paper, we employed molecular dynamics simulations to study the adhesion induced by a capillary bridge between a sphere and a flat substrate. The simulation results were used to examine the continuum theory of capillary at the nanometer scales. We found the meniscus shape was described by the continuum theory to very small separations (a few nanometers) between the sphere and substrate. However, the force oscillates when the separation is varied because of the effect from disjoining pressure.