TY - JOUR

T1 - Transport in Networks with a Power-Law Distribution of Conductances: 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(σ)∼σ−α, α<1, σ≤1. We argue that for the ladder there exists a critical value of α, αc=(1/2, that separates normal (α≤αc) and anomalous transport (α>αc), whereas for the SG the transport is normal for all α. 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(σ)∼σ−α, α<1, σ≤1. We argue that for the ladder there exists a critical value of α, αc=(1/2, that separates normal (α≤αc) and anomalous transport (α>αc), whereas for the SG the transport is normal for all α. Extensive numerical simulations, based on triangle-star transformations, support our predictions. The difference between the two structures is discussed.

UR - http://journals.aps.org/prb/abstract/10.1103/PhysRevB.41.2445

M3 - Article

VL - 41

SP - 2445

EP - 2448

JO - Physical Review B (Condensed Matter and Materials Physics)

JF - Physical Review B (Condensed Matter and Materials Physics)

ER -