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 $\pounds$ 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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