Boal, David H. ; Rao, Madan (1992) Topology changes in fluid membranes Physical Review A, 46 (6). pp. 3037-3045. ISSN 1050-2947
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Official URL: http://pra.aps.org/abstract/PRA/v46/i6/p3037_1
Related URL: http://dx.doi.org/10.1103/PhysRevA.46.3037
Abstract
Shape changes of a fluid membrane with fixed area modeled by a curvature Hamiltonian and a boundary line tension are investigated. The zero-temperature energetics are studied using a variational principle in the space of axisymmetric shapes. For zero spontaneous curvature, the only energy minimizing shapes are the disk and the sphere. The energy barrier heights between these configurations are determined as a function of the Hamiltonian parameters. Thermal fluctuations of the shape are studied by means of a Monte Carlo simulation. The "phase transition" from open to closed topology is determined as a function of the rigidity and line tension at nonzero temperature. The transition is found to persist even at zero membrane rigidity. The energetics of the transition are shown to be related to the branched polymer scaling behavior of the fluid membrane.
Item Type: | Article |
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Source: | Copyright of this article belongs to The American Physical Society. |
ID Code: | 67267 |
Deposited On: | 29 Oct 2011 11:50 |
Last Modified: | 29 Oct 2011 11:50 |
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