Exact results for average cluster numbers in bond percolation on lattice strips

Shu Chiuan Chang, Robert Shrock

研究成果: Article同行評審

5 引文 斯高帕斯(Scopus)

摘要

Th exact calculations of the average cluster per site <k> for the bond percolation problem on infinite-length, finite-width strips of the square, triangular, honeycomb, and kagomé lattices, with both free and periodic transverse boundary conditions were presented. The singularities of <k> in the complex p plane and their influence on the radii of convergence of the Taylor series expansions of <k> about p=0 and p=1 were investigated. The approach of <k>, for a given p and λ, to its value on the two-dimensional lattice as the strip width increases, was also studied. The free energy for the Potts model on the 2F strip of the kagomé lattice was also given.

原文English
文章編號056130
頁(從 - 到)056130-1-056130-11
期刊Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
70
發行號5 2
DOIs
出版狀態Published - 2004 11月

All Science Journal Classification (ASJC) codes

  • 統計與非線性物理學
  • 統計與概率
  • 凝聚態物理學

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