Parameterization invariance and shape equations of elastic axisymmetric vesicles

Details Parameterization invariance and shape equations of elastic axisymmetric vesicles Parameterization invariance and shape equations of elastic axisymmetric vesicles

1994-12-16

arxiv.org/abs/cond-mat/9412081v1

Physics

Condensed Matter

10 pages, latex, one figure included

Scientific paper

10.1103/PhysRevE.51.544

The issue of different parameterizations of the axisymmetric vesicle shape addressed by Hu Jian-Guo and Ou-Yang Zhong-Can [ Phys.Rev. E {\bf 47} (1993) 461 ] is reassesed, especially as it transpires through the corresponding Euler - Lagrange equations of the associated elastic energy functional. It is argued that for regular, smooth contours of vesicles with spherical topology, different parameterizations of the surface are equivalent and that the corresponding Euler - Lagrange equations are in essence the same. If, however, one allows for discontinuous (higher) derivatives of the contour line at the pole, the differently parameterized Euler - Lagrange equations cease to be equivalent and describe different physical problems. It nevertheless appears to be true that the elastic energy corresponding to smooth contours remains a global minimum.

Affiliated with

Also associated with

No associations

Rating

Parameterization invariance and shape equations of elastic axisymmetric vesicles does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Parameterization invariance and shape equations of elastic axisymmetric vesicles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Parameterization invariance and shape equations of elastic axisymmetric vesicles will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-46293