Periodic-cylinder vesicle with minimal energy
Soft Condensed Matter
2010-06-25 v1
Abstract
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 , 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)
Cite
@article{arxiv.0911.5530,
title = {Periodic-cylinder vesicle with minimal energy},
author = {Xiaohua Zhou},
journal= {arXiv preprint arXiv:0911.5530},
year = {2010}
}
Comments
10 pages, 6 figures, accepted by Chinese Physics B