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Distribution of the sizes of two dimensional lattice animals as a function of perimeter or energy

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Zeitschrift für Physik B Condensed Matter

Abstract

Cluster configurations grouped by perimeter and surface “energy” (measured in terms of boundary bonds) are investigated on the triangular lattice. It is shown that considerable departures from normality occur, at least for reasonably large perimeter values. The possible shape of the limiting distributions is clarified and their sensitivity to the suppression of internal holes discussed.

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References

  1. Sykes, M.F., Gaunt, D.S., Glen, M.: J. Phys. A: Math. Gen.9, 87, 715 (1976)

    Google Scholar 

  2. Fisher, M.F.: Physics3, 255 (1967)

    Google Scholar 

  3. Stauffer, D.: J. Stat. Phys.18, 125 (1978)

    Google Scholar 

  4. Domb, C.: J. Phys. A: Math. Gen.9, L 141 (1976)

    Google Scholar 

  5. Reich, C.R., Leath, P.L.: J. Phys. C11, 1155 (1978)

    Google Scholar 

  6. Duarte, J.A.M.S.: An. Fac. Ciencias Porto, in Press (1978)

  7. Gnedenko, B.U., Kolmogorov, A.N.: Limit Distributions for Sums of Independent Random Variables, Cambridge: Addison-Wesley 1954

    Google Scholar 

  8. Ord, J.K.: Families of Frequency Distributions, London: Griffin 1962

    Google Scholar 

  9. Moskvin, D.A., Postnikova, L.P., Yudin, A.A.: Theor. Probability Appl.15, 87 (1970)

    Google Scholar 

  10. Elderston, W.P., Johnson, N.L.: Systems of Frequency Curves. London: Cambridge University Press 1969

    Google Scholar 

  11. Kendall, M.G., Stuart, A.: The Advanced Theory of Statistics (3 vols). London: Griffin 1967

    Google Scholar 

  12. McQuistan, R.B., Lichtman, S.J.: J. Math. Phys.11, 3095 (1970)

    Google Scholar 

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Authors and Affiliations

  1. Wheatstone Physics Laboratory, King's College Strand, WC2R 2LS, London, United Kingdom

    J. A. M. S. Duarte

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  1. J. A. M. S. Duarte
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On leave from: Centro de Fisica, Faculdade de Ciencias, Universidade de Porto, Portugal

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Duarte, J.A.M.S. Distribution of the sizes of two dimensional lattice animals as a function of perimeter or energy. Z Physik B 33, 97–102 (1979). https://doi.org/10.1007/BF01325817

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  • DOI: https://doi.org/10.1007/BF01325817

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