TY - JOUR

T1 - Exact results for average cluster numbers in bond percolation on lattice strips

AU - Chang, Shu Chiuan

AU - Shrock, Robert

PY - 2004/11

Y1 - 2004/11

N2 - Th exact calculations of the average cluster per site 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 in the complex p plane and their influence on the radii of convergence of the Taylor series expansions of about p=0 and p=1 were investigated. The approach of , 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.

AB - Th exact calculations of the average cluster per site 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 in the complex p plane and their influence on the radii of convergence of the Taylor series expansions of about p=0 and p=1 were investigated. The approach of , 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.

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U2 - 10.1103/PhysRevE.70.056130

DO - 10.1103/PhysRevE.70.056130

M3 - Article

C2 - 15600715

AN - SCOPUS:37649030803

SN - 1539-3755

VL - 70

SP - 056130-1-056130-11

JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

IS - 5 2

M1 - 056130

ER -