Periodic-cylinder vesicle with minimal energy
Xiaohua Zhou
TL;DR
This paper analyzes periodic cylindrical vesicle shapes, identifying minimal energy configurations and their relation to physical structures like DNA and nanotubes, based on solutions to the shape equation.
Contribution
It provides a detailed analysis of periodic cylindrical vesicle solutions, including minimal energy configurations and their potential applications.
Findings
Periodic cylindrical shapes with minimal energy identified at a specific period-amplitude ratio
Discontinuous deformation between plane and periodic shapes demonstrated
Results applicable to DNA and multi-walled carbon nanotubes
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)
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