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Variational Analysis of Shape Equations for Axisymmetric Vesicles |
ZHENG Weimou;LIU Jixing;HU Jianguo |
Institute of Theoretical Physics, Academia Sinica, Beijing 100080 |
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Cite this article: |
ZHENG Weimou, LIU Jixing, HU Jianguo 1994 Chin. Phys. Lett. 11 227-230 |
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Abstract In derivation of the shape equation for axisymmetric vesicles from the Helfrich free energy the variation must be taken with respect to the contour. It is pointed out that the widely used Helfrich shape equation and the one proposed by Peterson were derived by improper variations, hence both equations are generally incorrect. The validity of the two equations is analyzed.
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Keywords:
68.15.+e
46.30.–i
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Published: 01 April 1994
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