Conductivity of hierarchical networks with a broad distribution of resistors

George H. Weiss; Shlomo Havlin

doi:10.1103/physrevb.36.807

Conductivity of hierarchical networks with a broad distribution of resistors

George H. Weiss, Shlomo Havlin

Department of Physics - at Bar-Ilan University

National Institutes of Health

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We study transport in hierarchical structures in which the probability density function (PDF) of bond conductances is a stable law. We demonstrate that the singular part of the PDF remains invariant in each iteration step. Thus the leading contribution to the conductivity exponent comes from singly connected bonds.

Original language	English
Pages (from-to)	807-808
Number of pages	2
Journal	Physical Review B
Volume	36
Issue number	1
DOIs	https://doi.org/10.1103/physrevb.36.807
State	Published - 1987

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abstract = "We study transport in hierarchical structures in which the probability density function (PDF) of bond conductances is a stable law. We demonstrate that the singular part of the PDF remains invariant in each iteration step. Thus the leading contribution to the conductivity exponent comes from singly connected bonds.",

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Conductivity of hierarchical networks with a broad distribution of resistors

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