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Scaling function for cluster size distribution in two-dimensional site percolation

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Zeitschrift für Physik B Condensed Matter

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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References

  1. 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)

    Google Scholar 

  2. Stauffer, D.: Phys. Rev. Letters35, 394 (1975)

    Google Scholar 

  3. Stephen, M.J.: Phys. Rev. T15, 5674 (1977) derives near 6 dimensions, using renormalization group techniques, a result consistent with the scaling assumption (1)

    Google Scholar 

  4. Leath, P.L.: Phys. Rev. Letters16, 921 (1976) and Phys. Rev. B14, 5046 (1976)

    Google Scholar 

  5. Stauffer, D.: Z. Physik B25, 391 (1976)

    Google Scholar 

  6. Flammang, A.: Z. Physik B28, 47 (1977)

    Google Scholar 

  7. Dean, P., Bird, N.F.: National Physical Laboratory Report MA 61, Teddington, England, 1966

  8. Kunz, H., Souillard, B.: Int. Conf. Statist. Phys., Haifa, August 1977

  9. Reich, G.R., Leath, P.L.: preprint

  10. Fisher, M.E., Kerr, R.M.: Phys. Rev. Letters39, 667 (1977)

    Google Scholar 

  11. 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

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