Abstract
Exact cluster size distributions of Sykes et al. in the square and triangular lattice for cluster sizes up to 17 are used to extrapolate the scaling function in the site percolation problem. Also the amplitude ratioC +/C - of the second moment is determined.
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Sykes, M.F., Gaunt, D.S., Glen, M.: J. Phys. A9, 87 (1976) Sykes, M.F., Gaunt, D.S.: J. Phys. A9, 97, 715, 725 (1976) Gaunt, D.S., Sykes, M.F.: J. Phys. A9, 1109 (1976)
Stauffer, D.: Phys. Rev. Letters35, 394 (1975)
Stephen, M.J.: Phys. Rev. T15, 5674 (1977) derives near 6 dimensions, using renormalization group techniques, a result consistent with the scaling assumption (1)
Leath, P.L.: Phys. Rev. Letters16, 921 (1976) and Phys. Rev. B14, 5046 (1976)
Stauffer, D.: Z. Physik B25, 391 (1976)
Flammang, A.: Z. Physik B28, 47 (1977)
Dean, P., Bird, N.F.: National Physical Laboratory Report MA 61, Teddington, England, 1966
Kunz, H., Souillard, B.: Int. Conf. Statist. Phys., Haifa, August 1977
Reich, G.R., Leath, P.L.: preprint
Fisher, M.E., Kerr, R.M.: Phys. Rev. Letters39, 667 (1977)
Leath, P.L.: Midwinter Solid State Research Conference, Laguna Beach, California (January 1977)
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Wolff, W.F., Stauffer, D. Scaling function for cluster size distribution in two-dimensional site percolation. Z Physik B 29, 67–69 (1978). https://doi.org/10.1007/BF01354839
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DOI: https://doi.org/10.1007/BF01354839