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ISSN Печать: 2169-2785
ISSN Онлайн: 2167-857X
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FLOQUET ANALYSIS FOR STABILITY OF ELECTROLYTE FILMS ON SUBSTRATES WITH STRONGLY NONUNIFORM CHARGE DENSITY
Краткое описание
We consider steady-state shapes and stability of a liquid electrolyte film on a substrate that is patterned or structured, resulting in a spatially periodic variation of the charge density. The electrical field in the liquid is described using the Debye-Hückel approximation to the classical Poisson-Boltzmann equation. Thin-film approximation is used to model liquid flow arising as a result of the interfacial instability. Steady-state shapes are found numerically for a range of conditions and shown to agree with the asymptotic results for the weak substrate charge nonuniformity. Floquet analysis is used to investigate the stability of the spatially periodic steady-state solutions. Linear stability criteria are found for a range of conditions. Depending on the wavelength of the substrate patterning, the effect can be either stabilizing or destabilizing, with the latter typically observed for smaller pattern wavelengths.