The evolution of the frequency-dependent, complex dielectric permittivity of three-dimensional, random conductor–insulator composites as a function of conductive inclusion concentration is explored by numerical simulation. A smooth transition from Debye behavior at low inclusion concentrations to a non-Debye, Davidson–Cole relaxation structure at higher concentrations is typically observed below the percolation threshold. The prevalence of the Davidson–Cole behavior and variations in relaxation parameters with respect to clustering statistics are explored through a survey of random networks. The dielectric response in denser composites is also explored, in both a standard randomly filled, percolating configuration and in a different type of random filling in which percolation has been deliberately prevented. In both cases, the relaxation component continues to exhibit a Davidson–Cole functional form. The passage through percolation does not strongly affect the Davidson–Cole exponent in the standard filling case, but in the percolation-prevention case a strong increase in exponent with inclusion concentration is observed.
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1 November 2003
Research Article|
November 01 2003
Evolution of Davidson–Cole relaxation behavior in random conductor–insulator composites
J. P. Calame
J. P. Calame
Naval Research Laboratory, Washington, DC 20375
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J. Appl. Phys. 94, 5945–5957 (2003)
Article history
Received:
April 23 2003
Accepted:
August 11 2003
Connected Content
A correction has been published:
Erratum: Evolution of Davidson-Cole relaxation behavior in random conductor-insulator composites [J. Appl. Phys. 94, 5945 (2003)]
Citation
J. P. Calame; Evolution of Davidson–Cole relaxation behavior in random conductor–insulator composites. J. Appl. Phys. 1 November 2003; 94 (9): 5945–5957. https://doi.org/10.1063/1.1615302
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