Geometric Methods In The Elastic Theory Of Membranes In Liquid Crystal Phases
Regular price
€97.99
14 days return policy
Shipping & Delivery
A01=Jixing Liu
A01=Yuzhang Xie
A01=Zhong-can Ou-yang
Applied Mathematics
Author_Jixing Liu
Author_Yuzhang Xie
Author_Zhong-can Ou-yang
Biomembrane
Category=PHFC
Category=PSF
Condensed Matter Physics
Differential Geometry
Elastic Theory
eq_bestseller
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
eq_non-fiction
eq_science
Lipid Bilayers
Liquid Crystals
Shape of Red Blood Cells
Soft Matter Physics
Vesicle And Lipsome
Product details
- ISBN 9789810232481
- Publication Date: 25 Mar 1999
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
Secure
checkout
Fast Shipping
Easy returns
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 of the rigorous solution of the equation that have been carried out in recent years by the authors and their co-workers are presented here, among which the torus and the discocyte (the normal shape of the human red blood cell) may attract attention in cell biology. Within the framework of our mathematical model by analogy with cholesteric liquid crystals, an extensive investigation is made of the formation of the helical structures in a tilted chiral lipid bilayer, which has now become a hot topic in the fields of soft matter and biomembranes.
