Dynamic Design of Spatial Patterns of Colloidal Suspensions

We study the collective dynamics of colloidal suspensions in the presence of a time-dependent potential by means of dynamic density functional theory. We consider a nonlinear diffusion equation for the density and show that spatial patterns emerge from a sinusoidal external potential with a time-dep...

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Bibliographic Details
Published in:Langmuir 2017-10, Vol.33 (42), p.11698-11702
Main Authors: Araújo, N. A. M, Zezyulin, D. A, Konotop, V. V, Telo da Gama, M. M
Format: Article
Language:English
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Summary:We study the collective dynamics of colloidal suspensions in the presence of a time-dependent potential by means of dynamic density functional theory. We consider a nonlinear diffusion equation for the density and show that spatial patterns emerge from a sinusoidal external potential with a time-dependent wavelength. These patterns are characterized by a sinusoidal density with the average wavelength and a Bessel-function envelope with an induced wavelength that depends only on the amplitude of the temporal oscillations. As a generalization of this result, we propose a design strategy to obtain a family of spatial patterns using time-dependent potentials of practically arbitrary shape.
ISSN:0743-7463
1520-5827
DOI:10.1021/acs.langmuir.7b01920