J. Phys. I France 3 (1993) 1131-1140
Floppy Tethered NetworksD.M. Kroll1 and G. Gompper2
1 Institut fir Festkörperforschung, KFA Jülich, Postfach 1913, 5170 Jülich, Germany
2 Sektion Physik der Ludwig-Maximilians-Universität München, Theresienstr. 37, 8000 München 2, Germany
(Received 22 December 1992, accepted in final form 14 January 1993)
A model for extremely flexible tethered membranes is studied by Monte Carlo simulations and scaling arguments. In contrast to the standard string-and-bead models, no finite-range hard-core repulsion is used to ensure self-avoidance. Instead, the elementary triangles are taken to be impenetrable. Although this leads to an extremely floppy tethered network, the surface is found to be asymptotically flat, with a roughness exponent , consistent with the result of self-avoiding string-and-bead models. The orientationally averaged scattering intensity, on the other hand, is found to exhibit a nontrivial scaling behavior characteristic of a crumpled object with an effective fractal dimension . This result is compared with recent experiments on graphite oxide sheets.
68.10 - 82.70 - 87.20
© Les Editions de Physique 1993