Two-dimensional steady states in off-critical mixtures with high interface tension

We present steady non-linear solutions of films of confined polymer blends deposited on a solid substrate at off-critical concentrations with a free deformable surface. The solutions are obtained numerically using a variational form of the Cahn-Hilliard equation in the static limit, which allows for internal diffuse interfaces between the two components of the mixture. Existence of most of the branches of non-linear solutions at off-critical concentrations can be predicted from the knowledge of the branching points obtained with a linear stability analysis plus the non-linear solutions at critical concentrations. However, some families of solutions are found not to have correspondence at critical compositions. We take a value for surface tension that allows strong deformations at the sharp free upper surface. Varying the average composition and the length and thickness of the films we find a rich morphology of static films in the form of laterally structure films, layered films, droplets on the substrate, droplets at the free surface, and checkerboard structures. We show that laterally structured solutions are energetically favorable over homogeneous and other structured solutions within the whole spinodal region and even close to the absolute stability binodal boundary.

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Free surface liquid films of binary mixtures. Two-dimensional steady structures at off-critical compositions

Bribesh

Madruga

2016

Physics of Fluids

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Two-dimensional steady states in off-critical mixtures with high interface tension

Cited by 1 publication

References 18 publications

Free surface liquid films of binary mixtures. Two-dimensional steady structures at off-critical compositions

Free surface liquid films of binary mixtures. Two-dimensional steady structures at off-critical compositions

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