Deformations of the geometry of lipid vesicles
Soft Condensed Matter
2007-05-23 v1
Abstract
Consider a closed lipid membrane (vesicle), modeled as a two-dimensional surface, described by a geometrical hamiltonian that depends on its extrinsic curvature. The vanishing of its first variation determines the equilibrium configurations for the system. In this paper, we examine the second variation of the hamiltonian about any given equilibrium, using an explicitly surface covariant geometrical approach. We identify the operator which determines the stability of equilibrium configurations.
Keywords
Cite
@article{arxiv.cond-mat/0212118,
title = {Deformations of the geometry of lipid vesicles},
author = {Riccardo Capovilla and Jemal Guven and Jose' Antonio Santiago},
journal= {arXiv preprint arXiv:cond-mat/0212118},
year = {2007}
}
Comments
15 pages, no figures