DOI: 10.1051/jp1:1992275
J. Phys. I France 2 (1992) 2181-2190
Fractal dimensions of dynamically triangulated random surfaces
Christian Münkel and Dieter W. HeermannInstitut für theoretische Physik, Philosophenweg 19, Universität Heidelberg, D-6900 Heidelberg, Germany and Interdisziplinäres Zentrum für wissenschaftliches Rechnen der Universität Heidlberg, Germany
(Received 8 September 1992, accepted 16 September 1992)
Abstract
Geometric properties of dynamically triangulated random surfaces in three-dimensional space can be described by fractal dimensions:
the Hausdorff-dimension with respect to the embedding of the surfaces, the spectral and the spreading dimension for the intrinsic
geometry. A remarkable dependence of the fractal dimensions on the bending rigidity is observed, even on the intrinsic dimensions.
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