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Lattice animals: A fast enumeration algorithm and new perimeter polynomials

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Abstract

A fast computer algorithm for enumerating isolated connected clusters on a regular lattice and its Fortran implementation are presented. New perimeter polynomials are calculated for the square, the triangular, the simple cubic, and the square lattice with next nearest neighbors.

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References

  1. D. Stauffer,Introduction to Percolation Theory (Taylor & Francis, London, 1985), and references therein.

    Google Scholar 

  2. J. L. Martin, inPhase Transitions and Critical Phenomena, Vol. 3, C. Domb and M. S. Green, eds. (Academic Press, New York, 1974), pp. 97–112.

    Google Scholar 

  3. S. Redner,J. Stat. Phys. 29:309 (1982).

    Google Scholar 

  4. D. H. Redelmeier,Discr. Math. 36:191 (1981).

    Google Scholar 

  5. M. F. Sykes and M. Glen,J. Phys. A: Math. Gen. 9:87 (1976).

    Google Scholar 

  6. M. F. Sykes, D. S. Gaunt, and M. Glen,J. Phys. A: Math. Gen. 10:1705 (1976).

    Google Scholar 

  7. D. S. Gaunt, M. F. Sykes, and H. Ruskin,J. Phys. A: Math. Gen. 9:1899 (1976).

    Google Scholar 

  8. M. F. Sykes and M. K. Wilkinson,J. Phys. A: Math. Gen. 19:3407 (1986).

    Google Scholar 

  9. M. F. Sykes and M. K. Wilkinson,J. Phys. A: Math. Gen. 19:3415 (1986).

    Google Scholar 

  10. A. Margolina, Z. V. Djordjevic, D. Stauffer, and H. E. Stanley,Phys. Rev. B 28:1652 (1983).

    Google Scholar 

  11. H. P. Peters, D. Stauffer, H. P. Höllers, and K. Loewenich,Z. Physik B 34:399 (1979).

    Google Scholar 

  12. E. S. Demme and K. Diemer,J. Undergrad. Res. Phys. 3:25 (1984).

    Google Scholar 

  13. P. M. Lam,Phys. Rev. A 34:2339 (1986).

    Google Scholar 

  14. J. A. M. S. Duarte,Portgal. Phys. 12:99 (1981).

    Google Scholar 

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Mertens, S. Lattice animals: A fast enumeration algorithm and new perimeter polynomials. J Stat Phys 58, 1095–1108 (1990). https://doi.org/10.1007/BF01026565

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  • DOI: https://doi.org/10.1007/BF01026565

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