Universal material property in conductivity of planar random microstructures

Research output: Contribution to journalArticlepeer-review


We study scatter involved in finite-size scaling of the conductivity and resistivity tensors resulting, respectively, from uniform essential and natural boundary conditions applied to domains that are finite relative to the size of a heterogeneity. For various types of planar microstructures generated from Poisson processes (multiphase Voronoi mosaics, composites with circular or needlelike inclusions, etc.) we report a universal property: the coefficient of variation of the second invariant stays practically constant at about (Formula presented) irrespective of the domain size, the boundary conditions applied to it, the contrast, and the volume fraction of either phase.

Original languageEnglish (US)
Pages (from-to)2980-2982
Number of pages3
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number5
StatePublished - 2000
Externally publishedYes

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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