Dynamic Design of Spatial Patterns of Colloidal Suspensions.

Abstract

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.

DOI: 10.1021/acs.langmuir.7b01920

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Cite this paper

@article{Arajo2017DynamicDO, title={Dynamic Design of Spatial Patterns of Colloidal Suspensions.}, author={Nuno A. M. Ara{\'u}jo and Dmitry A. Zezyulin and Vladimir V. Konotop and Margarida M Telo da Gama}, journal={Langmuir : the ACS journal of surfaces and colloids}, year={2017}, volume={33 42}, pages={11698-11702} }