TY - JOUR
T1 - Universality of amplitude combinations in two-dimensional percolation
AU - Daboul, Daniel
AU - Aharony, Amnon
AU - Stauffer, Dietrich
PY - 2000/2/18
Y1 - 2000/2/18
N2 - We generated/extended low concentration series for the second moment of distances between cluster points A2 in site and bond percolation on the square lattice and used them to calculate series for the correlation length ξ. We analysed these and other series for their critical amplitudes, and compared them with results from Monte Carlo simulations of triangular site, square site, and square bond percolation. The values obtained from the different models for the amplitude combination B2ξ20/ Γ2 (ξ0, Γ2, and B are the amplitudes of ξ, the second moment of the cluster size distribution M2, and the strength of the infinite cluster P, respectively), are all within the range 2.23 ± 0.10, confirming universality.
AB - We generated/extended low concentration series for the second moment of distances between cluster points A2 in site and bond percolation on the square lattice and used them to calculate series for the correlation length ξ. We analysed these and other series for their critical amplitudes, and compared them with results from Monte Carlo simulations of triangular site, square site, and square bond percolation. The values obtained from the different models for the amplitude combination B2ξ20/ Γ2 (ξ0, Γ2, and B are the amplitudes of ξ, the second moment of the cluster size distribution M2, and the strength of the infinite cluster P, respectively), are all within the range 2.23 ± 0.10, confirming universality.
UR - https://www.scopus.com/pages/publications/0034681245
U2 - 10.1088/0305-4470/33/6/303
DO - 10.1088/0305-4470/33/6/303
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AN - SCOPUS:0034681245
SN - 0305-4470
VL - 33
SP - 1113
EP - 1137
JO - Journal of Physics A: Mathematical and General
JF - Journal of Physics A: Mathematical and General
IS - 6
ER -