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

Abstract
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.



© Les Editions de Physique 1991

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