Volume 46, Number 2, April II 1999
|Page(s)||262 - 267|
|Section||Interdisciplinary physics and related areas of science and technology|
|Published online||01 September 2002|
Vesicles in linearly forced motion
LPM2C, Université Joseph Fourier,
Maison des Magistères Jean Perrin
25 avenue des Martyrs,
CNRS B.P. 166, 38042 Grenoble Cédex 09, France
Accepted: 12 February 1999
We study the shape of vesicles being dragged through their viscous environment by a homogeneous force, using a numerical method to treat Stokes hydrodynamics around the vesicle. Due to the mobile boundaries, the uniqueness theorem does not apply here, and we have obtained a catalog of the various stationary solutions. Vesicles can be bean-like and pear-like, the latter being unstable with respect to perturbations breaking their axisymmetry. Oblate ellipsoids are stabilised by a sufficiently strong drag. A 2d flow of lipids in the membrane is induced for non-axisymmetric shapes. As the drag force becomes too strong, no more stationary solutions exist. For very deflated vesicles, an "S”-shaped solution appears, coupling rotational and translational motion.
PACS: 87.16.Dg – Membranes, bilayers and vesicles / 83.10.Ff – Continuum mechanics
© EDP Sciences, 1999
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