摘要
流体膜理论中的Helfrich曲率弹性理论近来被拓展到近晶相液晶复杂结构研究领域,文章介绍了该理论中泡形状问题的一些进展;给出了表面的普遍微分方程,即Euler Lagrange方程的变分问题δ∮ΦdA=0,其中Φ是主曲率的任意函数,也就是普遍的Helfrich曲率自由能;讨论了表面方程在泡动力学和微乳液滴动力学的应用。
This paper reports on some progress of vesicle shape study in the Helfrich curvature elasticity theory of fluid membranes which was recently extended to the complex structures of smectic liquid crystals. A general differential equation of surface is presented, which is the EulerLagrange equation for the variation problem δ∮ΦdA=0. Here Φ is any function of the principal curvatures, i.e. the generalized Helfrich curvature free energy. The application of the surface equations to dynamics of vesicles or microemulsion droplets is also discussed.
出处
《液晶与显示》
CAS
CSCD
2003年第2期79-83,共5页
Chinese Journal of Liquid Crystals and Displays
基金
国家自然科学基金资助项目(19947007/A040101)
关键词
生物膜
形状
液晶
模型
液体膜
复杂结构
肥皂泡
极小曲面
liquid crystal
complex fluid
biomembrane
soap bubble
minimal surface
surface of constant mean curvature
