Wetting and minimal surfaces.

@article{Bachas2007WettingAM,
  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},
  year={2007},
  volume={75 3 Pt 1},
  pages={
          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 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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References

SHOWING 1-10 OF 32 REFERENCES
Morphological stability analysis of partial wetting
Wetting: statics and dynamics
The wetting of solids by liquids is connected to physical chemistry (wettability), to statistical physics (pinning of the contact line, wetting transitions, etc.), to long-range forces (van der
Roughness at the depinning threshold for a long-range elastic string.
  • A. Rosso, W. Krauth
  • Physics
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2002
TLDR
This paper compute to high precision the roughness exponent zeta of a long-range elastic string, at the depinning threshold, in a random medium, using the analytic structure of the problem ("no-passing" theorem), but avoids direct simulation of the evolution equations.
Transition of a moving contact line from smooth to angular
We consider the motion of a small droplet sliding under gravity down an inclined plane. Experimentally [see T. Podgorski, These, Universite Paris 6 (October 2000); T. Podgorski et al., Phys. Rev.
A model for contact angle hysteresis
We discuss the behavior of a liquid partially wetting a solid surface, when the contact angle at equilibrium θ0 is small, but finite. The solid is assumed to be either flat, but chemically
Can nonlinear elasticity explain contact-line roughness at depinning?
TLDR
Within functional renormalization group methods it is found that a nonlocal Kardar-Parisi-Zhang-type term is generated at depinning and grows under coarse graining, showing that large enough cubic terms increase the roughness.
Roughness and dynamics of a contact line of a viscous fluid on a disordered substrate
TLDR
It is found that the roughness W of the contact line depends neither on the viscosity nor on the velocity v of thecontact line for v in the range 0.2-20μm/s.
Relaxation of a moving contact line and the Landau-Levich effect
The dynamics of the deformations of a moving contact line is formulated. It is shown that an advancing contact line relaxes more quickly as compared to the equilibrium case, while for a receding
Roughening transition in a moving contact line.
TLDR
A phase diagram is proposed for the system in which the phase boundaries corresponding to the coating transition and the pinning transition meet at a junction point, and it is suggested that for sufficiently strong disorder a receding contact line will leave a Landau-Levich film immediately after depinning.
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