DOI: 10.1051/jp2:1992105
J. Phys. II France 2 (1992) 1363-1376
Statistical mechanics of two dimensional vesicles
R. E. Norman1, G. C. Barker2 and T. J. Sluckin11 Faculty of Mathematical Studies, University of Southampton, Southampton SO9 5NH, G.B.
2 AFRC Institute of Food Research, Colney Lane, Norwich NR4 7UA, G.B.
(Received 3 December 1991, accepted in final form 10 February 1992)
Abstract
We have used a q-space method for calculating thermodynamic quantities of a two-dimensional vesicle introduced by Ostrowsky
and Peyraud. This method has been used to calculate the radius of gyration, the area, and the shape of vesicles as a function
of perimeter length
and Helfrich curvature parameter
K. It is found, in agreement with the hypothesis of Fisher, that all thermodynamic quantities can be plotted on universal curves
as a function of
. In the small
, large
K (stiff), and large
, small
K (floppy or fractal) limits, the results are broadly consistent with real space computations of other authors.
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