TY - JOUR
T1 - Universal mass ratios of non-unique spanning clusters in percolation
AU - Sen, Parongama
AU - Aharony, Amnon
PY - 1997/10
Y1 - 1997/10
N2 - We find that when two or more spanning clusters exist at the percolation threshold, the mass of each scales with the same fractal dimension D = 1.89 in two dimensions and D = 2.53 in three dimensions. We also determine the ratios of the masses of the spanning clusters. In two dimensions, this is done for different lattices of different shapes. In the case of two spanning clusters, the ratio of the larger spanning cluster to the smaller lies around 1.4 for two dimensions, almost independent of lattice structure and shape.
AB - We find that when two or more spanning clusters exist at the percolation threshold, the mass of each scales with the same fractal dimension D = 1.89 in two dimensions and D = 2.53 in three dimensions. We also determine the ratios of the masses of the spanning clusters. In two dimensions, this is done for different lattices of different shapes. In the case of two spanning clusters, the ratio of the larger spanning cluster to the smaller lies around 1.4 for two dimensions, almost independent of lattice structure and shape.
KW - Fractal Dimension
KW - Spanning Probabilities
UR - https://www.scopus.com/pages/publications/0031314450
U2 - 10.1142/S012918319700103X
DO - 10.1142/S012918319700103X
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AN - SCOPUS:0031314450
SN - 0129-1831
VL - 8
SP - 1169
EP - 1173
JO - International Journal of Modern Physics C
JF - International Journal of Modern Physics C
IS - 5
ER -