Periodic-cylinder vesicle with minimal energy

doi:10.1088/1674-1056/19/5/058702

Abstract We give some details about the periodic cylindrical solution found by Zhang and Ou-Yang in [1996 Phys. Rev. E 53 4206] 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 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).

Keywords: vesicle curvature solution

Received: 06 September 2009
Revised: 28 October 2009
Accepted manuscript online:

PACS:	87.16.D-	(Membranes, bilayers, and vesicles)
	87.85.Qr	(Nanotechnologies-design)
	87.14.G-	(Nucleic acids)
	02.30.Hq	(Ordinary differential equations)

Fund: Project is partly supported by National Science Foundation for Young Scientists of China (Grant No.~10804129).

Cite this article:

Zhou Xiao-Hua(周晓华) Periodic-cylinder vesicle with minimal energy 2010 Chin. Phys. B 19 058702

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Periodic-cylinder vesicle with minimal energy

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