Bounds for the effective conductivity of random media

  • W. Kohler
  • G. C. Papanicolaou
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 154)


We formulate the problem of calculating the effective conductivity of a random medium in a suitable manner. Then we obtain upper and lower bounds using variational principles. Some of the bounds depend on the random geometry of the medium while others (like the HashinShtrikman bounds) do not.


Trial Field Variational Principle Multiple Scattering Random Medium Effective Conductivity 
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Copyright information

© Springer-Verlag 1982

Authors and Affiliations

  • W. Kohler
    • 1
    • 2
  • G. C. Papanicolaou
    • 1
    • 2
  1. 1.Virginia Polytechnic Institute and State UniversityUSA
  2. 2.Courant InstituteNew York UniversityUSA

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