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DS: Fachverband Dünne Schichten

DS 42: Layer Growth: Evolution of Structure and Simulation

DS 42.1: Talk

Friday, February 29, 2008, 16:15–16:30, H 2032

Numerical simulation of demixing of a binary mixture on the solid substrate with a free surface — •Lubor Frastia1 and Len M. Pismen21MPG PKS, Nöthnitzer Straße 38, 01187 Dresden, Germany — 2Dept. of Chemical Engineering, Technion, 32000 Haifa, Israel

The problem of simultaneous demixing and dewetting is frequently occuring in nano-technological applications, where the thickness of the internal interfaces in the phase-separated liquid may be comparable to the droplet size or layer thickness. Theoretical approaches to the demixing problem are commonly based on the Cahn–Hilliard theory [1] using the Landau–Cahn free energy functional approximation to model phase separation while neglecting the effects of the moving surfaces [2].

In this contribution, we describe the static limit of the model, given in [3], specialized for a 2D film lying on a solid substrate. Based on this model, we derived the Finite Element (FE) numerical procedure and computed droplet solutions for selected parameters of the model, using a continuation procedure with surface tension of the free surface, γ, as the continuation parameter. Resulting solution branch is compared with the related circular-symmetric droplet solution and its effective sharp interface approximation.

References:

  1. 1. J.W. Cahn and J.E. Hilliard, J. Chem. Phys. 28, 258–267 (1958).
  2. 2. H.P. Fischer, P. Maass, and W. Dieterich, Europhys. Lett. 42, 49–54 (1998).
  3. 3. U. Thiele, S. Madruga, L. Frastia, submitted to Physics of Fluids.
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