NDLI: Effective interactions and equilibrium configurations of colloidal particles on a sessile droplet

Content Provider	Royal Society of Chemistry (RSC)
Author	Tasinkevych, M. Guzowski, J. Dietrich, S.
Copyright Year	2011
Abstract	We study the free energy landscapes of a pair of micron-sized spherical particles floating at the surface of a sessile droplet. The particles are subjected to radial external forces resulting in a deformation of the droplet shape relative to the reference shape of a spherical cap. This deformation leads to tangential forces on the particles. For small deformations and for the contact angle θ0 at the substrate being equal to π/2, the corresponding linearized Young-Laplace equation is solved analytically. The solution is constructed by employing the method of images from electrostatics, where each of the particles plays the role of a capillary monopole and the substrate is replaced by a virtual drop with image charges and by imposing the conditions of fixed droplet volume and vanishing total force on the droplet. The substrate boundary conditions determine the signs of the image capillary charges and therefore also the strength of the tangential forces on the particles. In the cases of an arbitrary contact angle θ0 these forces are calculated numerically by employing a finite element method to find the equilibrium shape of the droplet for those configurations in which the particles are close to the local free energy minima.
Starting Page	4189
Ending Page	4197
Page Count	9
File Format	HTM / HTML PDF
ISSN	1744683X
Volume Number	7
Issue Number	9
Journal	Soft Matter
DOI	10.1039/c0sm01440k
Language	English
Publisher	Royal Society of Chemistry
Access Restriction	Open
Subject Keyword	Glossary of botanical terms Finite element method Young\u2013Laplace equation Spherical cap Magnetic monopole Contact angle Electrostatics Thermodynamic free energy
Content Type	Text
Resource Type	Article
Subject	Chemistry Condensed Matter Physics

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