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The elasticity of a contact line

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  • Dobbs, Harvey

Abstract

We calculate the work required to deform a three-phase contact line between two fluid phases and one solid phase using an interface displacement model. This includes the effects of both surface and line tensions. The leading-order dependence on the wavenumber q of the distortion has been described by Joanny and de Gennes (J. Chem. Phys. 81(1984)552). We examine the next-to-leading term, which contrary to expectation is not the line tension but a quantity of similar magnitude. Cases of divergent line tension are also examined, which demonstrate a regularization exhibiting scaling on a length scale set by q. Negative line tension does not lead to instability of the contact line to small amplitude deformations at any wavenumber.

Suggested Citation

  • Dobbs, Harvey, 1999. "The elasticity of a contact line," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 271(1), pages 36-47.
    • Handle: RePEc:eee:phsmap:v:271:y:1999:i:1:p:36-47
    DOI: 10.1016/S0378-4371(99)00218-6
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    Keywords

    Contact line; Line tension;

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