| Issue |
J. Phys. II France
Volume 2, Number 8, August 1992
|
|
|---|---|---|
| Page(s) | 1563 - 1575 | |
| DOI | https://doi.org/10.1051/jp2:1992222 | |
J. Phys. II France 2 (1992) 1563-1575
Fluctuations and stability of polymerized vesicles
Shigeyuki Komura1 and Reinhard Lipowsky21 Department of Physics, Faculty of Science, Kyoto University, Kyoto 606, Japan
2 Institut für Festkörperforschung, Forschungszentrum Jülich, D-5170 Jülich, Germany
(Received 30 April 1992, accepted 13 May 1992)
Abstract
The shape fluctuations and the stability of polymerized vesicles are investigated within the framework of shell theory. The
intrinsic curvature of the vesicle leads to an enhanced coupling between bending and stretching modes which acts to suppress
the shape fluctuations on large scales. This effect is explicitly calculated for a cylindrical shape of the vesicle. For a
cylinder with radius
r0, the shape fluctuations exhibit the crossover scale
, where
and
Y are the bending rigidity and the (2-dimensional) Young modulus of the polymerized membrane. For
, the fluctuations are fluid-like but are strongly suppressed for
. In addition, the stability of the cylinder with respect to an external pressure is studied, and a sequence of critical pressure
values is determined at which the cylinder becomes unstable.
05.40 - 87.22
© Les Editions de Physique 1992