TY - JOUR
T1 - Fractal eigendimensionalities for percolation clusters
AU - Aharony, Amnon
AU - Gefen, Yuval
AU - Kapitulnik, Aharon
AU - Murat, Michael
PY - 1985
Y1 - 1985
N2 - A recently proposed transfer matrix of fractals (TMF) method is demonstrated on a simple fractal model for clusters at the percolation threshold and used to analyze computer simulation clusters. The eigenvalues of the TMF yield fractal dimensionalities of internal structures (e.g., the backbone), representing corrections to the leading power-law behavior. The eigenvectors contain information on these corrections, as well as on the asymptotic distribution of basic shapes.
AB - A recently proposed transfer matrix of fractals (TMF) method is demonstrated on a simple fractal model for clusters at the percolation threshold and used to analyze computer simulation clusters. The eigenvalues of the TMF yield fractal dimensionalities of internal structures (e.g., the backbone), representing corrections to the leading power-law behavior. The eigenvectors contain information on these corrections, as well as on the asymptotic distribution of basic shapes.
UR - http://www.scopus.com/inward/record.url?scp=35949020250&partnerID=8YFLogxK
U2 - 10.1103/PhysRevB.31.4721
DO - 10.1103/PhysRevB.31.4721
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AN - SCOPUS:35949020250
SN - 0163-1829
VL - 31
SP - 4721
EP - 4724
JO - Physical Review B-Condensed Matter
JF - Physical Review B-Condensed Matter
IS - 7
ER -