Geometric Methods in Elastic Theory of Membranes in Liquid Crystal Phases - Couverture rigide

Tu, Zhanchun; Ou-yang, Zhong-can; Liu, Jixing; Xie, Yuzhang

Couverture rigide

ISBN 10 : 9813227729 ISBN 13 : 9789813227729

Editeur : World Scientific Publishing Co Pte Ltd, 2018

Synopsis

This is the second edition of the book Geometric Methods in Elastic Theory of Membranes in Liquid Crystal Phases published by World Scientific in 1999. This book gives a comprehensive treatment of the conditions of mechanical equilibrium and the deformation of membranes as a surface problem in differential geometry. It is aimed at readers engaging in the field of investigation of the shape formation of membranes in liquid crystalline state with differential geometry. The material chosen in this book is mainly limited to analytical results. The main changes in this second edition are: we add a chapter (Chapter 4) to explain how to calculate variational problems on a surface with a free edge by using a new mathematical tool — moving frame method and exterior differential forms — and how to derive the shape equation and boundary conditions for open lipid membranes through this new method. In addition, we include the recent concise work on chiral lipid membranes as a section in Chapter 5, and in Chapter 6 we mention some topics that we have not fully investigated but are also important to geometric theory of membrane elasticity.

A propos du livre

Présentation de l'éditeur

This is the second edition of the book Geometric Methods in Elastic Theory of Membranes in Liquid Crystal Phases published by World Scientific in 1999. This book gives a comprehensive treatment of the conditions of mechanical equilibrium and the deformation of membranes as a surface problem in differential geometry. It is aimed at readers engaging in the field of investigation of the shape formation of membranes in liquid crystalline state with differential geometry. The material chosen in this book is mainly limited to analytical results. The main changes in this second edition are: we add a chapter (Chapter 4) to explain how to calculate variational problems on a surface with a free edge by using a new mathematical tool — moving frame method and exterior differential forms — and how to derive the shape equation and boundary conditions for open lipid membranes through this new method. In addition, we include the recent concise work on chiral lipid membranes as a section in Chapter 5, and in Chapter 6 we mention some topics that we have not fully investigated but are also important to geometric theory of membrane elasticity.

Revue de presse

The book is highly recommended as a reference for advanced graduate students and scholars involved in geometric analysis of membranes and other elastic surfaces. Valuable techniques may be learned from the book's model constructions and sequential derivations and presentations of governing equations. Detailed analysis and solutions enable the reader with an increased understanding of the physical characteristics of membranes in liquid crystal phases such as their preferred shapes. --Contemporary Physics

Détails de l'édition

• Éditeur: World Scientific Publishing Co Pte Ltd
• Date d'édition: 2018
• Langue: anglais
• ISBN 10: 9813227729
• ISBN 13: 9789813227729
• Reliure: Relié
• Numéro d'édition: 2
• Nombre de pages: 288
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible