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

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...

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Detalles Bibliográficos
Autores principales: Ji Xing Liu, Zhong Can Ou Yang, Yu Zhang Xie
Lenguaje:eng
Publicado: World Scientific 1999
Materias:
Acceso en línea:http://cds.cern.ch/record/433969
Descripción
Sumario: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 surface tension gives a completely new surface equation in geometry that involves potential interest in mathematics. The investigations