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Geometric Methods in the Elastic Theory of Membranes in Liquid Crystal Phases (Advanced Series on Theoretical Physical Science)

Zhong-Can Ou-Yang




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 | #5639616 in Books |  1999-03-25 | Original language:English | PDF # 1 |  8.60 x.70 x6.20l,1.00 | File type: PDF | 234 pages

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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 elastic theory of the liquid crystals. With surface variation the minimization of the energy at fixed osmotical pressure and surfa...

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