English

Morphology changes in the evolution of liquid two-layer films

Pattern Formation and Solitons 2007-05-23 v2

Abstract

We consider two thin layers of immiscible liquids on a heated solid horizontal substrate. The free liquid-liquid and liquid-gas interfaces of such a two-layer (or bilayer) liquid film may be unstable due to effective molecular interactions or the Marangoni effect. Using a long wave approximation we derive coupled evolution equations for the interafce profiles for a general non-isothermal situation allowing for slip at the substrate. Linear and nonlinear analyses are performed for isothermal ultrathin layers below 100 nm thickness under the influence of destabilizing long-range and stabilizing short-range interactions. Flat films may be unstable to varicose, zigzag or mixed modes. During the long-time evolution the nonlinear mode type can change via switching between two different branches of stable stationary solutions or via coarsening along a single such branch.

Keywords

Cite

@article{arxiv.nlin/0412039,
  title  = {Morphology changes in the evolution of liquid two-layer films},
  author = {Andrey Pototsky and Michael Bestehorn and Domnic Merkt and Uwe Thiele},
  journal= {arXiv preprint arXiv:nlin/0412039},
  year   = {2007}
}

Comments

14 eps figures and 1 tex file

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