Multifractality and 1/f noise in the two-component random resistor network

Andrzej Kolek
Phys. Rev. B 45, 205 – Published 1 January 1992
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Abstract

The two-component random resistor network, i.e., the network composed of conducting and insulating bonds, both with finite values of conductance (gi and gc), is analyzed. Based on the general scaling assumption, a single crossover exponent for small value of h=gi/gc for all multifractal moments of current or voltage distributions is found not only in d=2 dimensions. This allows us to describe the behavior of 1/f noise of the two-component random resistor network over the entire region of concentration p of the conducting component: Three pictures of the relative noise intensity S versus the concentration p are admissible, depending on the ratio of the microscopic-1/f-noise intensities of the components.

  • Received 1 April 1991

DOI:https://doi.org/10.1103/PhysRevB.45.205

©1992 American Physical Society

Authors & Affiliations

Andrzej Kolek

  • Department of Electrical Engineering, Technical University of Rzeszów, W. Pola 2, 35-959 Rzeszów, Poland

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Vol. 45, Iss. 1 — 1 January 1992

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