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Line tension at wetting: interface displacement model beyond the gradient-squared approximation

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  • Dobbs, H.T.
  • Indekeu, J.O.

Abstract

We study the transition zone or contact line between a thin film and bulk liquid, and calculate the line tension τ, employing an interface displacement model equivalent to Derjaguin's and de Gennes' approach. We investigate the behaviour of τ in the limit that the contact angle ϑ tends to zero, approaching a wetting phase transition. Previous results for wetting and prewetting, derived in the gradient-squared approximation of the model, remain valid when the gradient is included to all orders. The interesting singular behaviour of τ at wetting is universal, due to the critical phenomena that have recently been found to underly first-order as well as continuous wetting transitions. Finally we critically review two contact-line instabilities that have been associated with contact-angle hysteresis, and propose an alternative physical interpretation.

Suggested Citation

  • Dobbs, H.T. & Indekeu, J.O., 1993. "Line tension at wetting: interface displacement model beyond the gradient-squared approximation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 201(4), pages 457-481.
    • Handle: RePEc:eee:phsmap:v:201:y:1993:i:4:p:457-481
    DOI: 10.1016/0378-4371(93)90120-S
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    References listed on IDEAS

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    1. Indekeu, J.O., 1992. "Line tension near the wetting transition: results from an interface displacement model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 183(4), pages 439-461.
    2. Indekeu, J.O., 1991. "How universal is critical-point wetting?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 177(1), pages 428-436.
    3. Mello, Pier A. & Robledo, Alberto, 1993. "Strongly coupled Ising chain under a weak random field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 199(3), pages 363-386.
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    Cited by:

    1. Taylor, C.M. & Widom, B., 2005. "Line tension on approach to a wetting transition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 358(2), pages 492-504.

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