Abstract
Analysis of Monte Carlo data shows the density profiles of critical percolation clusters (p=p c ) to be similar to each other. The same is true for random animals (p=0). The exponents for these scaling laws are determined and agree with those expected from the cluster radii.
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References
Stauffer, D.: Preprint for Physics Reports
Leath, P.L.: Phys. Rev. B14, 5046 (1976)
Stauffer, D.: Z. Physik B30, 173 (1978)
Reatto, L., Rastelli, E.: J. Phys. C5, 2785 (1972)
Domb, C.: J. Phys. A9, L 141 (1976)
Stauffer, D.: Phys. Rev. Lett.41, 1333 (1978)
Stanley, H.E.: J. Phys. A10, L 211 (1977) Mandelbrot, B.B.: Fractals: Form, Chance and Dimension. Freeman, San Francisco 1977 Harrison, R.J., Bishop, Jr., G.H., Quinn, G.D.: J. Statist. Phys.19, 53 (1978) Mandelbrot, B.B.: Ann. Israel Phys. Soc.2, 225 (1978), (Proc. 13th IUPAP Conf. Statistical Physics, Technion, August 1977; Cabib, D., Kuper, Ch.G., Riess, I. (eds.))
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Herrmann, H.J. Similarity laws for the density profile of percolation clusters and lattice animals. Z Physik B 32, 335–337 (1979). https://doi.org/10.1007/BF01351513
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DOI: https://doi.org/10.1007/BF01351513