Hostname: page-component-6bf8c574d5-gr6zb Total loading time: 0 Render date: 2025-02-22T20:50:44.797Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1.See, e.g., Proceedings of the Second International Conference on Electrical Transport and Optical Properties, edited by Lafait, J. and Tanner, D.B., Physica A 157 (1989).Google Scholar
2. Axell, J. and Helsing, J., Phys. Rev. B, to be published.Google Scholar
3. Hong, D.C., Stanley, H.E., Coniglio, A. and Bunde, A., Phys. Rev. B 33, 4564 (1986)Google Scholar
4. Bergman, D.J., Phys. Rev. B 14, 4304 (1976)Google Scholar
5. Wiener, O., Abhandlungen der Mathematish-Physischen Klasse der Koenigl. Saechsischen Gesellschaft der Wissenschaften 32, 509 (1912)Google Scholar
6. Söderberg, M., Jansson, P-O. and Grimvall, G., J Phys A 18, L637 (1985)Google Scholar
7. Leath, P.L. and Tang, W., Phys. Rev. B 39, 6485 (1989)Google Scholar
8. Straley, J.P. in Electrical Transport and Optical Properties, edited by Garland, J.C. and Tanner, D.B.. (AlP Conference Proceedings 40,1978) pp. 118–125.Google Scholar