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.
Received: 22 January 1994
Accepted manuscript online:
PACS:
87.16.D-
(Membranes, bilayers, and vesicles)
Fund: Project supported Partially by the National Natural Science Foundation of China and by the Chinese Academy of Science.
Cite this article:
HU JIAN-GUO (胡建国), OUYANG ZHONG-CAN (欧阳钟灿) SHAPE EQUATION AND SHAPES OF AXISYMMETRIC VESICLES IN TOROIDAL TOPOLOGY 1995 Acta Physica Sinica (Overseas Edition) 4 81
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