J. Phys. II France
Volume 2, Numéro 6, June 1992
Page(s) 1363 - 1376
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. Sluckin1

1  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)

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 $\pounds$ 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 $\pounds / K$. In the small $\pounds$, large K (stiff), and large $\pounds$, small K (floppy or fractal) limits, the results are broadly consistent with real space computations of other authors.

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