Relaxation dynamics of a compressible bilayer vesicle containing highly viscous fluid
arXiv:1610.03695 · doi:10.1103/PhysRevE.94.062414
Abstract
We study the relaxation dynamics of a compressible bilayer vesicle with an asymmetry in the viscosity of the inner and outer fluid medium. First we explore the stability of the vesicle free energy which includes a coupling between the membrane curvature and the local density difference between the two monolayers. Two types of instabilities are identified: a small wavelength instability and a larger wavelength instability. Considering the bulk fluid viscosity and the inter-monolayer friction as the dissipation sources, we next employ Onsager's variational principle to derive the coupled equations both for the membrane and the bulk fluid. The three relaxation modes are coupled to each other due to the bilayer and the spherical structure of the vesicle. Most importantly, a higher fluid viscosity inside the vesicle shifts the cross-over mode between the bending and the slipping to a larger value. As the vesicle parameters approach toward the unstable regions, the relaxation dynamics is dramatically slowed down, and the corresponding mode structure changes significantly. In some limiting cases, our general result reduces to the previously obtained relaxation rates.
arXiv comment16 pages, 6 figures
References in corpus (4)
Cited by in corpus (6)
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- Dynamics of passive and active membrane tubes
- Membrane Stretching Elasticity of Lipid Vesicle and Thermal Shape Fluctuations
- Dynamics of a Bilayer Membrane Coupled to a Two-dimensional Cytoskeleton: Scale Transfers of Membrane Deformations
- Thermal and active fluctuations of a compressible bilayer vesicle
- Statistical mechanics of thermal fluctuations of nearly spherical membranes: the influence of bending and stretching elasticities