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In this talk I will review recent progress in systematically deriving equations of motion and dispersion relations for interfaces (menisci and contact lines) starting from bulk phase-field models. This can be done systematically using projection techniques or variational approach to the appropriate free energy functionals. As concrete examples, I will discuss spontaneous [1] and driven wetting [2] to a random medium in 2D, the case of wetting with explicit wall roughness in 3D [3], and the influence of disorder strength [4]. Finally, I will also discuss an alternative approach to derive interface dispersion relations directly in the sharp interface limit [5].
1. M. Dube et al., PRL vol. 83, 1628 (1999) 2. T. Laurila et al., EPJ B vol. 46, 553 (2005) 3. T. Laurila et al., Phys. Rev. E vol. 74, 41601 (2006) 4. T. Laurila et al., Phys. Rev. E vol. 78, 031603 (2008) 5. S. Majaniemi et al., submitted to JSTAT (2008) |
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