论文信息 - Aspects of the structure of the infinite cluster in site percolation

Aspects of the structure of the infinite cluster in site percolation

It is shown how series expansions for quantities defined as site and bond valency may be derived. The series are used to obtain a measure of the degree of ramification of the infinite cluster, and techniques for obtaining a free energy series for the infinite cluster in a site-dilute ferromagnet are discussed.

C. Domb | R. J. Cherry

[1] V. Priezzhev. Series expansion for rectilinear polymers on the square lattice , 1979 .

[2] E. Stoll,et al. Shape and size of clusters in the Ising model , 1977 .

[3] D. S. Gaunt,et al. A note on the mean size of clusters in the Ising model , 1976 .

[4] D. Gaunt,et al. Percolation processes in three dimensions , 1976 .

[5] D. Gaunt,et al. Percolation processes in two dimensions IV. Percolation probability , 1976 .

[6] C. Domb. Cluster expansion for the dilute Ising ferromagnet , 1971 .

[7] M. Sykes,et al. Percolation processes in two dimensions. I. Low-density series expansions , 1976 .