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Geometric methods in the elastic theory of membranes in liquid crystal phases

Author: Zhong-Can Ou-Yang; Ji-Xing Liu; Yu-Zhang Xie
Publisher: Singapore ; River Edge, N.J. : World Scientific, ©1999.
Series: Advanced series on theoretical physical science, v. 2.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"This book contains a comprehensive description of the mechanical equilibrium and deformation of membranes as a surface problem in differential geometry. Following the pioneering work by W Helfrich, the fluid membrane is seen as a nematic or smectic - A liquid crystal film and its elastic energy form is deduced exactly from the curvature elasticity theory of the liquid crystals. With surface variation the  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Zhong-Can Ou-Yang; Ji-Xing Liu; Yu-Zhang Xie
ISBN: 9810232489 9789810232481
OCLC Number: 41562020
Description: x, 234 pages : illustrations ; 23 cm.
Contents: Ch. 1. Introduction to liquid crystal biomembranes --
ch. 2. Curvature elasticity theory of fluid membranes --
ch. 3. General vesicle shape equation of Helfrich, spontaneous curvature theory --
ch. 4. Solutions of general shape equation --
ch. 5. Theory of tilted chiral lipid bilayers.
Series Title: Advanced series on theoretical physical science, v. 2.
Responsibility: Ou-Yang Zhong-Can & Liu Ji-Xing, Xie Yu-Zhang.

Abstract:

Contains a comprehensive description of the mechanical equilibrium and deformation of membranes as a surface problem in differential geometry.  Read more...

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Primary Entity

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   schema:reviewBody ""This book contains a comprehensive description of the mechanical equilibrium and deformation of membranes as a surface problem in differential geometry. Following the pioneering work by W Helfrich, the fluid membrane is seen as a nematic or smectic - A liquid crystal film and its elastic energy form is deduced exactly from the curvature elasticity theory of the liquid crystals. With surface variation the minimization of the energy at fixed osmotic pressure and surface tension gives a completely new surface equation in geometry that involves potential interest in mathematics. The investigations of the rigorous solution of the equation that have been carried out in recent years by the authors and their co-workers are presented here: in these investigations the torus and the discocyte (the normal shape of the human red blood cell) may attract attention in cell biology. Within the framework of our mathematical model, by analogy with cholesteric liquid crystals, an extensive investigation is made of the formation of the helical structures in a tilted chiral lipid bilayer, which has now become a hot topic in the fields of soft matter and biomembranes."--Jacket." ;
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