Wetting and minimal surfaces.

  title={Wetting and minimal surfaces.},
  author={Constantin Bachas and Pierre Le Doussal and Kay J{\"o}rg Wiese},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={75 3 Pt 1},
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 nonlinear corrections to the Joanny-de Gennes energy. We argue that perturbation theory is quasilocal--i.e., that all geometric length scales of the fluid container decouple from the short-wavelength deformations of the contact line… 

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