Periodic-cylinder vesicle with minimal energy

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

中国物理B ›› 2010, Vol. 19 ›› Issue (5): 58702-058702.doi: 10.1088/1674-1056/19/5/058702

Periodic-cylinder vesicle with minimal energy

周晓华

Department of Mathematics and Physics, Fourth Military Medical University, Xi'an 710032, China

收稿日期:2009-09-06 修回日期:2009-10-28 出版日期:2010-05-15 发布日期:2010-05-15
基金资助:
Project is partly supported by National Science Foundation for Young Scientists of China (Grant No.~10804129).

Periodic-cylinder vesicle with minimal energy

Zhou Xiao-Hua(周晓华)

Department of Mathematics and Physics, Fourth Military Medical University, Xi'an 710032, China

Received:2009-09-06 Revised:2009-10-28 Online:2010-05-15 Published:2010-05-15
Supported by:
Project is partly supported by National Science Foundation for Young Scientists of China (Grant No.~10804129).

摘要/Abstract

摘要： We give some details about the periodic cylindrical solution found by Zhang and Ou-Yang in [1996 {\em Phys. Rev.} E {\bf 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 \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).

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).

Key words: vesicle, curvature, solution

中图分类号: (Membranes, bilayers, and vesicles)

87.16.D-

87.85.Qr (Nanotechnologies-design) 87.14.G- (Nucleic acids) 02.30.Hq (Ordinary differential equations)

周晓华. Periodic-cylinder vesicle with minimal energy[J]. 中国物理B, 2010, 19(5): 58702-058702.

Zhou Xiao-Hua(周晓华). Periodic-cylinder vesicle with minimal energy[J]. Chin. Phys. B, 2010, 19(5): 58702-058702.

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Periodic-cylinder vesicle with minimal energy

Periodic-cylinder vesicle with minimal energy

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