J. Phys. I France
Volume 1, Number 11, November 1991
Page(s) 1549 - 1556
DOI: 10.1051/jp1:1991224
J. Phys. I France 1 (1991) 1549-1556

Does a polymerized membrane crumple ?

A. Baumgärtner

Institut für Festkörperforschung, Forschungszentrum Jülich, D-5170 Jülich, Germany

(Received 16 July 1991, accepted 29 July 1991)

Evidence for crumpled conformations of polymerized membranes is reported. This is based on Monte Carlo simulations of flexible self-avoiding plaquette surfaces. The radius of gyration R scales with the surfaces area A according to $R^{2} \sim A^{0.8}$. It is shown that the correlation function between plaquette normals $\langle{\bf n}(0)\cdot {\bf n}(x)\rangle$ decays rapidly to zero for plaquette membranes, in contrast to hard-sphere membranes exhibiting long ranged strong correlations. The probability distribution $P(\cos \theta)$ of enclosed angles between adjacent plaquettes is discussed with respect to differences between plaquette and hard-sphere membranes.

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