Cluster renormalisation study of site lattice animals in two and three dimensions
- 21 February 1983
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 16 (3), L97-L104
- https://doi.org/10.1088/0305-4470/16/3/004
Abstract
The author studies site lattice animals using the cluster renormalisation (CR) approach previously applied to bond animals. The exponent v, characterising the asymptotic behaviour of the mean-square radius of gyration of site animals, and the fractal dimension df=1/v, are determined in two and three dimensions. He finds v=0.649+or-0.009 and v approximately=0.51 in two and three dimensions, respectively. In addition he studies restricted valence site animals on a triangular lattice using a single-parameter CR approach.Keywords
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