Dynamic model and stationary shapes of fluid vesicles

Details Dynamic model and stationary shapes of fluid vesicles Dynamic model and stationary shapes of fluid vesicles

2006-03-16

arxiv.org/abs/cond-mat/0603437v1

Eur. Phys. J. E, 20(1): 37-45 (2006)

Physics

Condensed Matter

Soft Condensed Matter

Accepted for publication in EPJE. 9 pages, 7 figures

Scientific paper

10.1140/epje/i2005-10079-5

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.

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