Dynamic model and stationary shapes of fluid vesicles
arXiv:cond-mat/0603437 · doi:10.1140/epje/i2005-10079-5
Abstract
A phase-field model that takes into account the bending energy of fluid vesicles is presented. The Canham-Helfrich model is derived in the sharp-interface limit. A dynamic equation for the phase-field has been solved numerically to find stationary shapes of vesicles with different topologies and the dynamic evolution towards them. The results are in agreement with those found by minimization of the Canham-Helfrich free energy. This fact shows that our phase-field model could be applied to more complex problems of instabilities.
Accepted for publication in EPJE. 9 pages, 7 figures
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- Deformation of Equilibrium Shape of a Vesicle Induced by Injected Flexible Polymers
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- Vesicle formation induced by thermal fluctuations
- Soft Confinement for Polymer Solutions
- Deformable bodies in a 3-dimensional viscous flow: Vorticity-Stream vector formulation
- "Gradient-free" diffuse approximations of the Willmore functional and Willmore flow