Helfrich-Canham bending energy as avonstrained nonlinear sigma model

被引：8

作者：

Capovilla, R

Guven, J

机构：

[1] Inst Politecn Nacl, Ctr Invest & Estudios Avanzados, Dept Fis, Mexico City 07000, DF, Mexico

[2] Univ Nacl Autonoma Mexico, Inst Ciencias Nucl, Mexico City 04510, DF, Mexico

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2005年 / 38卷 / 12期

关键词：

D O I：

10.1088/0305-4470/38/12/004

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The Helfrich-Canham bending energy is identified with a nonlinear sigma model for a unit vector. The identification, however, is dependent on one additional constraint: that the unit vector be constrained to lie orthogonal to the surface. The presence of this constraint adds a source to the divergence of the stress tensor for this vector so that it is not conserved. The stress tensor which is conserved is identified and its conservation shown to reproduce the correct shape equation.

引用

页码：2593 / 2597

页数：5

共 16 条

[1]

[Anonymous], 1986, HAMILTONIAN METHODS

[2] MINIMUM ENERGY OF BENDING AS A POSSIBLE EXPLANATION OF BICONCAVE SHAPE OF HUMAN RED BLOOD CELL [J].