Journal of Statistical Physics

, Volume 61, Issue 5–6, pp 1121–1139 | Cite as

Exact results for a meniscus in a three-phase system within an SOS-type approximation

  • Joël De Coninck
  • François Dunlop
  • Frédéric Menu


The shape of a meniscus of one phase between two others is studied in two dimensions using random walk models. An interface with a meniscus is approximated by two random walks forming microscopic droplets of the intruding phase before and after a macroscopic lens. Within this class of models, we establish a Wulff construction and prove the Herring relations between contact angles. We give explicit formulas for the contact angles as functions of temperature, both at low temperatures and near the wetting transition.

Key words

Contact angle wetting transition Wulff construction Herring relations 


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Copyright information

© Plenum Publishing Corporation 1990

Authors and Affiliations

  • Joël De Coninck
    • 1
  • François Dunlop
    • 2
  • Frédéric Menu
    • 1
  1. 1.Faculté des SciencesUniversité de Mons-HainautMonsBelgium
  2. 2.Centre de Physique Théorique (CNRS-UPR14)École PolytechniquePalaiseauFrance

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