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Geometric Methods in the Elastic Theory of Membranes in Liquid Crystal Phases: Book by Ou-Yang Zhong-Can

Geometric Methods in the Elastic Theory of Membranes in Liquid Crystal Phases

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ISBN: 9789810232481    Publisher: World Scientific Publishing Co Pte Ltd Year of publishing: 1999     Format:  Hardback No of Pages: 244        
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...Read more
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 enegy form is deduced exactly from the curvature elastic theory of the liquid crystals. With surface variation, the minimization of the energy at the fixed osmotical pressure and surface tension gives a surface equation in geometry that involves potential interest in mathematics. This text presents the results of the investigation into the solution of the equation that have been carried out by the authors.
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