Periodic-cylinder vesicle with minimal energy

Details Periodic-cylinder vesicle with minimal energy Periodic-cylinder vesicle with minimal energy

2009-11-30

arxiv.org/abs/0911.5530v1

Chin. Phys. B 19:058702, 2010

Physics

Condensed Matter

Soft Condensed Matter

10 pages, 6 figures, accepted by Chinese Physics B

Scientific paper

10.1088/1674-1056/19/5/058702

We give some details about the periodic cylindrical solution found by Zhang and Ou-Yang in [Phys. Rev. E 53, 4206(1996)] for the general shape equation of vesicle. Three different kinds of periodic cylindrical surfaces and a special closed cylindrical surface are obtained. Using the elliptic functions contained in \emph{mathematic}, we find that this periodic shape has the minimal total energy for one period when the period-amplitude ratio $\beta\simeq1.477$, and point out that it is a discontinuous deformation between plane and this periodic shape. Our results also are suitable for DNA and multi-walled carbon nanotubes (MWNTs)

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