Effective Medium Approximation for Nonlinear Conductivity of a Composite Medium

  • David J. Bergman
Part of the Progress in Nonlinear Differential Equations and Their Applications book series (PNLDE, volume 5)


Bruggeman’s Self-Consistent Effective Medium Approximation for the linear conductivity of a composite medium is reformulated in a manner such that the averaging procedure that must be used becomes unambiguous. The new formulation can be applied equally unambiguously to nonlinear conductivity in a composite medium. It is used to construct a Bruggeman-type approximation for a strong, power law nonlinear conductivity, and the scaling form of this approximation in the vicinity of a percolation threshold is found. It is also used to construct such an approximation for the small power-law-nonlinearity correction term in a composite conductor whose leading behavior is linear. In this case the Bruggeman-type approximation becomes useless long before the percolation threshold is reached. The reasons for this are discussed.


Percolation Threshold Leading Behavior Local Electric Field Composite Medium Composite Conductor 
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Copyright information

© Birkhäuser Boston 1991

Authors and Affiliations

  • David J. Bergman
    • 1
  1. 1.School of Physics and AstronomyTel-Aviv UniversityIsrael

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