Morphology changes in the evolution of liquid two-layer films

Details Morphology changes in the evolution of liquid two-layer films Morphology changes in the evolution of liquid two-layer films

2004-12-15

arxiv.org/abs/nlin/0412039v2

J. Chem. Phys. 122, 224711 (2005)

Nonlinear Sciences

Pattern Formation and Solitons

14 eps figures and 1 tex file

Scientific paper

10.1063/1.1927512

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.

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