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

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	Spheres and prolate and-oblate ellipsoids from an analytical solution of the spontaneous-curvature fluid-membrane model
	Zhou, HJ; Liu, JX; Zhong-Can, OY; Liu, QH; Liu, QH , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
刊名	PHYSICAL REVIEW E
	1999
卷号	60 期号:3 页码:3227-3233
关键词	Red Blood-cell Axisymmetrical Vesicles Shape Transformations Phase-diagram Deformation Elasticity Equations Pressure Energy
ISSN号	1539-3755
英文摘要	An analytic solution for the Helfrich spontaneous curvature membrane model [H. Naito, M.Okuda, and pu-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(49)00309-8].
学科主题	Physics
URL标识	查看原文
WOS记录号	WOS:000082778200100
公开日期	2012-08-29
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/13102]
专题	理论物理研究所_理论物理所1978-2010年知识产出
通讯作者	Liu, QH , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
推荐引用方式 GB/T 7714	Zhou, HJ,Liu, JX,Zhong-Can, OY,et al. Spheres and prolate and-oblate ellipsoids from an analytical solution of the spontaneous-curvature fluid-membrane model[J]. PHYSICAL REVIEW E,1999,60(3):3227-3233.
APA	Zhou, HJ,Liu, JX,Zhong-Can, OY,Liu, QH,&Liu, QH , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China..(1999).Spheres and prolate and-oblate ellipsoids from an analytical solution of the spontaneous-curvature fluid-membrane model.PHYSICAL REVIEW E,60(3),3227-3233.
MLA	Zhou, HJ,et al."Spheres and prolate and-oblate ellipsoids from an analytical solution of the spontaneous-curvature fluid-membrane model".PHYSICAL REVIEW E 60.3(1999):3227-3233.