中国物理B ›› 1995, Vol. 4 ›› Issue (2): 81-87.doi: 10.1088/1004-423X/4/2/001

• GENERAL •    下一篇

SHAPE EQUATION AND SHAPES OF AXISYMMETRIC VESICLES IN TOROIDAL TOPOLOGY

胡建国, 欧阳钟灿   

  1. Institute of Theoretical Physics, Academia Sinica, Beijing 100080, China
  • 收稿日期:1994-01-22 出版日期:1995-02-20 发布日期:1995-02-20
  • 基金资助:
    Project supported Partially by the National Natural Science Foundation of China and by the Chinese Academy of Science.

SHAPE EQUATION AND SHAPES OF AXISYMMETRIC VESICLES IN TOROIDAL TOPOLOGY

HU JIAN-GUO (胡建国), OUYANG ZHONG-CAN (欧阳钟灿)   

  1. Institute of Theoretical Physics, Academia Sinica, Beijing 100080, China
  • Received:1994-01-22 Online:1995-02-20 Published:1995-02-20
  • Supported by:
    Project supported Partially by the National Natural Science Foundation of China and by the Chinese Academy of Science.

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摘要： For toroidal topology we solve the shape equation for axisymmetric vesicles numerically. The phase diagram is found to be similar to that from another shape equation. This similarity is the result of the insensitive dependence of beading energy upon detailed shape of vesicles and the constant volume and area ensemble we are considering. We argue that the very small distance between two opposite cusps of the sickle-shaped vesicle makes it unstable and fuse into two encompassed spheres which might be observed in experiment. The spontaneous curvatures of the observed Clifford tori are also estimated.

Abstract: For toroidal topology we solve the shape equation for axisymmetric vesicles numerically. The phase diagram is found to be similar to that from another shape equation. This similarity is the result of the insensitive dependence of beading energy upon detailed shape of vesicles and the constant volume and area ensemble we are considering. We argue that the very small distance between two opposite cusps of the sickle-shaped vesicle makes it unstable and fuse into two encompassed spheres which might be observed in experiment. The spontaneous curvatures of the observed Clifford tori are also estimated.

中图分类号:  (Membranes, bilayers, and vesicles)

  • 87.16.D-