Conformal degeneracy and conformal diffusion of vesicles
- 19 July 1993
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 71 (3) , 452-455
- https://doi.org/10.1103/physrevlett.71.452
Abstract
The shape of vesicles with genus g=2, i.e., with two holes or two handles, is studied in the framework of curvature models. These vesicles exhibit a new phase which also persists for higher genus g>2. In this phase, the ground state of the vesicle is conformally degenerate even when the volume, the area, and the total mean curvature of the vesicle are kept constant. It is predicted that such vesicles undergo a new type of diffusive motion, termed conformal diffusion, which should be observable in experiments as pronounced shape fluctuations.Keywords
This publication has 15 references indexed in Scilit:
- Theoretical results on toroidal vesiclesJournal de Physique II, 1992
- Experimental and theoretical study of toroidal vesiclesPhysical Review Letters, 1992
- Vesicles of toroidal topologyPhysical Review Letters, 1991
- The conformation of membranesNature, 1991
- Exact curvature energies of charged membranes of arbitrary shapesPhysica A: Statistical Mechanics and its Applications, 1990
- Geometrical and topological aspects of electric double layers near curved surfacesPhysical Review Letters, 1990
- Anchor ring-vesicle membranesPhysical Review A, 1990
- Comparison surfaces for the Willmore problemPacific Journal of Mathematics, 1989
- New minimal surfaces in $S^3$Journal of Differential Geometry, 1988
- Complete Minimal Surfaces in S 3Annals of Mathematics, 1970