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刘全慧

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期刊论文

Spheres and prolate and oblate ellipsoids from an analytical solution of the spontaneous-curvature fluid-membrane model

刘全慧Quan-Hui Liu Zhou Haijun Ji-Xing Liu Ou-Yang Zhong-Can

PHYSICAL REVIEW E VOLUME 60, NUMBER 3 SEPTEMBER 1999,-0001,():

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摘要/描述

An analytic solution for the Helfrich spontaneous curvature membrane model [H. Naito, M. Okuda, and Ou-Yang Zhong-Can, Phys. Rev. E 48, 2304 (1993); 54, 2816 (1996)], which has the conspicuous feature of representing a circular biconcave shape, is studied. Results show that the solution in fact describes a family of shapes, which can be classified as (i) a flat plane (trivial case), (ii) a sphere, (iii) a prolate ellipsoid, (iv) a capped cylinder, (v) an oblate ellipsoid, (vi) a circular biconcave shape, (vii) a self-intersecting inverted circular biconcave shape, and (viii) a self-intersecting nodoidlike cylinder. Among the closed shapes (ii)–(vii), a circular biconcave shape is the one with a minimum of local curvature energy. [S1063-651X (99)00309-8]

关键词: PACS number(s): 87 16 Dg, 46 70 Hg, 68 15 1e, 02 40 Hw

版权说明:以下全部内容由刘全慧上传于   2007年04月23日 17时06分34秒,版权归本人所有。

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