J. Phys. II France
Volume 4, Numéro 1, January 1994
Page(s) 145 - 161
DOI: 10.1051/jp2:1994120
J. Phys. II France 4 (1994) 145-161

Hard rod and frustum model of two-dimensional vesicles

Ryota Morikawa and Yukio Saito

Department of Physics, Keio University, 3-14-1 Hiyoshi, Kohoku-ku, Yokohama 223, Japan

(Received 12 July 1993, accepted in final form 13 October 1993)

A two-dimensional vesicle of hard rods subject to a shadowing interaction is analyzed by Monte Carlo simulations. From the mode analysis of the shape fluctuation of the vesicle, the bending rigidity is estimated microscopically and the relation between the rod length and the bending rigidity is studied. A scaling relation of a mean square radius of gyration is investigated and compared with that proposed by Leibler, Singh and Fisher. Increasing osmotic pressure a vesicle performs a shape transition from a circular to bi-lobocyte shape. A vesicle with a spontaneous curvature is also studied by using molecules of a frustum shape.

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