Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-06-26
Phys.Rev.E75:031601,2007
Physics
High Energy Physics
High Energy Physics - Theory
22 pages
Scientific paper
10.1103/PhysRevE.75.031601
We study minimal surfaces which arise in wetting and capillarity phenomena. Using conformal coordinates, we reduce the problem to a set of coupled boundary equations for the contact line of the fluid surface, and then derive simple diagrammatic rules to calculate the non-linear corrections to the Joanny-de Gennes energy. We argue that perturbation theory is quasi-local, i.e. that all geometric length scales of the fluid container decouple from the short-wavelength deformations of the contact line. This is illustrated by a calculation of the linearized interaction between contact lines on two opposite parallel walls. We present a simple algorithm to compute the minimal surface and its energy based on these ideas. We also point out the intriguing singularities that arise in the Legendre transformation from the pure Dirichlet to the mixed Dirichlet-Neumann problem.
Bachas Constantin
Doussal Pierre Le
Wiese Kay Joerg
No associations
LandOfFree
Wetting and Minimal Surfaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Wetting and Minimal Surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Wetting and Minimal Surfaces will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-400244