Dynamical design of spatial patterns of colloidal suspensions
Soft Condensed Matter
2017-06-08 v1 Statistical Mechanics
Pattern Formation and Solitons
Abstract
We study the collective dynamics of colloidal suspensions in the presence of a time-dependent potential, by means of dynamical density functional theory. We consider a non-linear 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.
Cite
@article{arxiv.1706.02067,
title = {Dynamical design of spatial patterns of colloidal suspensions},
author = {N. A. M. Araujo and D. A. Zezyulin and V. V. Konotop and M. M. Telo da Gama},
journal= {arXiv preprint arXiv:1706.02067},
year = {2017}
}