TY - JOUR
T1 - Cluster number scaling in two-dimensional percolation
AU - Rapaport, D. C.
PY - 1986
Y1 - 1986
N2 - The cluster distribution for site percolation on the triangular lattice is studied at and close to pc using Monte Carlo techniques. Lattice sizes range as high as 2.56×1010 sites, and periodic boundary conditions are imposed instead of the customary free boundaries in order to reduce residual finite-size effects. The results support scaling to leading order both at and near pc. Corrections to scaling are also examined, but through a value for the associated exponent is obtained, the results suggest that a description based on a single exponent may not be adequate.
AB - The cluster distribution for site percolation on the triangular lattice is studied at and close to pc using Monte Carlo techniques. Lattice sizes range as high as 2.56×1010 sites, and periodic boundary conditions are imposed instead of the customary free boundaries in order to reduce residual finite-size effects. The results support scaling to leading order both at and near pc. Corrections to scaling are also examined, but through a value for the associated exponent is obtained, the results suggest that a description based on a single exponent may not be adequate.
UR - http://www.scopus.com/inward/record.url?scp=3543004984&partnerID=8YFLogxK
U2 - 10.1088/0305-4470/19/2/022
DO - 10.1088/0305-4470/19/2/022
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AN - SCOPUS:3543004984
SN - 0305-4470
VL - 19
SP - 291
EP - 304
JO - Journal of Physics A: Mathematical and General
JF - Journal of Physics A: Mathematical and General
IS - 2
M1 - 022
ER -