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A Lattice Model for the Line Tension of a Sessile Drop

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Abstract

Within a semi-infinite three-dimensional lattice gas model describing the coexistence of two phases on a substrate, we study, by cluster expansion techniques, the free energy (line tension) associated with the contact line between the two phases and the substrate. We show that this line tension, is given at low temperature by a convergent series whose leading term is negative, and equals 0 at zero temperature.

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Authors and Affiliations

  1. Centre de Physique Théorique, CNRS, Luminy Case 907, F-13288, Marseille Cedex 9, France

    Daniel Gandolfo, Salvador Miracle-Sole & Jean Ruiz

  2. Département de Mathématiques, Université du Sud Toulon-Var, BP 132, F-83957, La Garde, France

    Daniel Gandolfo

  3. Ecole Normale Supérieure de Rabat, BP 5118, Rabat, Morocco

    Lahoussine Laanait

Authors
  1. Daniel Gandolfo
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  2. Lahoussine Laanait
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  3. Salvador Miracle-Sole
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  4. Jean Ruiz
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Correspondence to Daniel Gandolfo.

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Gandolfo, D., Laanait, L., Miracle-Sole, S. et al. A Lattice Model for the Line Tension of a Sessile Drop. J Stat Phys 126, 133–156 (2007). https://doi.org/10.1007/s10955-006-9152-5

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  • DOI: https://doi.org/10.1007/s10955-006-9152-5

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