TY - JOUR
T1 - Transport in networks with a power-law distribution of conductances
T2 - The ladder and the Sierpinski gasket
AU - Taitelbaum, H.
AU - Danino, M.
AU - Havlin, S.
AU - Webman, I.
PY - 1990
Y1 - 1990
N2 - We study the transport properties of two types of resistor networks: the ladder and the Sierpinski gasket (SG), where all their bonds obey a power-law distribution of conductances: P()-, <1, 1. We argue that for the ladder there exists a critical value of , c=(1/2, that separates normal (c) and anomalous transport (>c), whereas for the SG the transport is normal for all . Extensive numerical simulations, based on triangle-star transformations, support our predictions. The difference between the two structures is discussed.
AB - We study the transport properties of two types of resistor networks: the ladder and the Sierpinski gasket (SG), where all their bonds obey a power-law distribution of conductances: P()-, <1, 1. We argue that for the ladder there exists a critical value of , c=(1/2, that separates normal (c) and anomalous transport (>c), whereas for the SG the transport is normal for all . Extensive numerical simulations, based on triangle-star transformations, support our predictions. The difference between the two structures is discussed.
UR - http://www.scopus.com/inward/record.url?scp=35949010496&partnerID=8YFLogxK
U2 - 10.1103/physrevb.41.2445
DO - 10.1103/physrevb.41.2445
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AN - SCOPUS:35949010496
SN - 0163-1829
VL - 41
SP - 2445
EP - 2448
JO - Physical Review B
JF - Physical Review B
IS - 4
ER -