Scaling Profiles of a Spreading Drop from Langevin or Monte-Carlo Dynamics

  • F. Dunlop
  • M. Plapp
Part of the NATO ASI Series book series (NSSB, volume 324)


When a drop spreads on a plane solid surface under the influence of surface tensions, one has a reasonable macroscopic understanding of the shape of the bulk of the drop, and a good understanding of the contact angle, which quickly approaches the equilibrium angle θ satisfying Young’s equation
$$ \cos \theta {{\sigma }_{{AB}}}(\theta ) - \sin \theta {\text{ }}{{\sigma }^{1}}_{{AB}}(\theta ) = {{\sigma }_{{AW}}} - {{\sigma }_{{BW}}}, $$
where σ AB , σ AW and σ BW are the appropriate surface tensions, and the prime denotes a derivative with respect to the angle. What has been less studied, and is more related to non-equilibrium, is the shape of the foot of the drop, where the interface bends to match the contact angle. There the scale is intermediate between molecular and macroscopic, which justifies a statistical mechanical study.


Contact Angle Gibbs Measure Scaling Limit Hydrodynamic Limit Langevin Dynamic 
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Copyright information

© Springer Science+Business Media New York 1994

Authors and Affiliations

  • F. Dunlop
    • 1
  • M. Plapp
    • 1
  1. 1.Centre de Physique Théorique (CNRS - UPR14)Ecole PolytechniquePalaiseauFrance

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