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Triple-line kinetics for solid films

Abstract : We present a derivation of the triple-line kinetic boundary conditions for a solid film in contact with a solid substrate for both nonconserved (evaporation-condensation) and conserved (surface diffusion) dynamics. The result is obtained via a matched asymptotic expansion from a mesoscopic model with a thickness-dependent wetting potential (or disjoining pressure) and mobility. In the nonconserved case, we obtain a single boundary condition, which relates the triple-line velocity with the deviation of the contact angle from its equilibrium value. In the conserved case, two kinetic boundary conditions are needed. They relate the velocity and mass flux at the triple line to the contact angle deviation and discontinuity of the chemical potential. These linear relations are described by three kinetic coefficients. The conditions under which the kinetic coefficients remain finite are obtained. We find, for example, that some kinetic coefficients diverge within the conserved model in the presence of van der Waals interaction.
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https://hal-univ-lyon1.archives-ouvertes.fr/hal-02289856
Contributor : Marie-Gabrielle Chautard <>
Submitted on : Tuesday, September 17, 2019 - 10:58:40 AM
Last modification on : Thursday, October 15, 2020 - 8:54:04 AM

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Ashwani K. Tripathi, Olivier Pierre-Louis. Triple-line kinetics for solid films. Physical Review E , American Physical Society (APS), 2018, 97 (2), pp.022801. ⟨10.1103/PhysRevE.97.022801⟩. ⟨hal-02289856⟩

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