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Cited by 181

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Measurement and interpretation of nonuniversal critical exponents in disordered conductor–insulator composites

Heaney, Michael B.·1995·Physical Review B

Abstract

The dc resistivity of carbon-black--polymer composites as a function of carbon-black concentration has been measured and fit to a power law, yielding a conductivity critical exponent t=2.9\ifmmode\pm\else\textpm\fi{}0.1. This value is in excellent agreement with the mean-field value t=3. The sample-to-sample variations in resistivity at each concentration also show power-law behavior. If interpreted as due to correlation length fluctuations, these data yield a correlation-length critical exponent \ensuremath{\nu}=0.51\ifmmode\pm\else\textpm\fi{}0.02. This value is in excellent agreement with the mean-field value \ensuremath{\nu}=1/2. These results suggest that nonuniversal (t\ensuremath{\ne}2) transport behavior in this and similar composites is caused by the composite being outside the universal scaling regime and in the mean-field regime.

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Crossref · 10.1103/physrevb.52.12477

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Metadata

Authors
Heaney, M. B.
Venue
Physical Review B
Published
1995-11-01
Volume
52
Issue
17
Pages
12477-12480
ISSN
  • 0163-1829 (ISSN-L)
  • 1095-3795
OpenAlex
W2015737350
Cited by
181
References
1
FWCI
2.22
Type
journal article
Language
en
Open access
closed

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