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Geometric Methods In The Elastic Theory Of Membranes In Liquid Crystal Phases
Hardback

Geometric Methods In The Elastic Theory Of Membranes In Liquid Crystal Phases

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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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MORE INFO
Format
Hardback
Publisher
World Scientific Publishing Co Pte Ltd
Country
Singapore
Date
25 March 1999
Pages
244
ISBN
9789810232481

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.

Read More
Format
Hardback
Publisher
World Scientific Publishing Co Pte Ltd
Country
Singapore
Date
25 March 1999
Pages
244
ISBN
9789810232481