Effective Media Theory Using Nearest Neighbor Pair Distributions

  • D. A. Drew
  • H. Mandyam
Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 98)


The behavior of heterogeneous materials is interesting on several levels. First, such materials are common in nature and our technological society. Their behavior is difficult to predict, to understand, and to explain. On a theoretical level, the nature of these materials leads naturally to questions of repeatability and averaging. The microscale problem is often describable by classical dynamical equations (Navier-Stokes, Fourier heat conduction, etc.), but using this information to obtain constitutive equations is difficult, and has led to the development of two theoretical techniques (viz., renormalization and effective media theory).


Constitutive Equation Effective Viscosity Space Point Effective Conductivity Rigid Sphere 
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Copyright information

© Springer-Verlag New York, Inc. 1998

Authors and Affiliations

  • D. A. Drew
    • 1
  • H. Mandyam
    • 1
  1. 1.Department of Mathematical ScienceRensselaer Polytechnic InstituteTroyUSA

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