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Conductivity Fluctuations in Two-Component Finite Systems

Published online by Cambridge University Press:  28 February 2011

Jörgen Axell  and
Johan Helsing
Jörgen Axell
Affiliation:
Department of Theoretical Physics, The Royal Institute of Technology, S-100 44 STOCKHOLM, Sweden
Johan Helsing
Affiliation:
Department of Theoretical Physics, The Royal Institute of Technology, S-100 44 STOCKHOLM, Sweden
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Abstract

In all applications and experimental setups one has to do measurements on finite samples with some average properties. Due to statistical fluctuations in the realization of the specific sample one has, there will be a spread in the measured properties. In this paper we consider electrical conduction in a two-phase material, where the two phases have different conductivities. We study the size dependence of the fluctuations in the effective conductivity and give the dependence of the sample size and the dependence of the resistance ratio, especially when the latter is close to one. A simple model and numerical simulations are presented.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 195: Symposium S – Physical Phenomena in Granular Materials , 1990 , 141
Copyright
Copyright © Materials Research Society 1990

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References

REFERENCES

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