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25 April 2024 |
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Article overview
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Spheres and Prolate and Oblate Ellipsoids from an Analytical Solution of Spontaneous Curvature Fluid Membrane Model | | Quan-Hui Liu
; Zhou Haijun
; Ji-Xing Liu
; Ou-Yang Zhong-Can
; | | Date: |
3 Jun 1999 | | Subject: | Soft Condensed Matter | cond-mat.soft | | Abstract: | An analytic solution for Helfrich spontaneous curvature membrane model (H. Naito, M.Okuda and Ou-Yang Zhong-Can, Phys. Rev. E {f 48}, 2304 (1993); {f 54}, 2816 (1996)), which has a conspicuous feature of representing the circular biconcave shape, is studied. Results show that the solution in fact describes a family of shapes, which can be classified as: i) the flat plane (trivial case), ii) the sphere, iii) the prolate ellipsoid, iv) the capped cylinder, v) the oblate ellipsoid, vi) the circular biconcave shape, vii) the self-intersecting inverted circular biconcave shape, and viii) the self-intersecting nodoidlike cylinder. Among the closed shapes (ii)-(vii), a circular biconcave shape is the one with the minimum of local curvature energy. | | Source: | arXiv, cond-mat/9906038 | | Services: | Forum | Review | PDF | Favorites | |
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