Technical Physics

, Volume 44, Issue 4, pp 458–461 | Cite as

Transition to chaotization and loss of self-averagability in two-dimensional two-phase media at the percolation threshold

  • S. P. Luk’yanets
  • A. E. Morozovskii
  • A. A. Snarkskii
Brief Communications

Abstract

Giant fluctuations of the electric field, recently identified experimentally in two-dimensional, twophase media at the percolation threshold, are discussed. A hierarchical realization of these media is used to show that for Re σ i =0 (where σ1 and σ2 are the conductances of the phases) and Im σ2/Im σ1>0 the hierarchy construction procedure yields the Dykhne expression \(\sigma _e = \sqrt {\sigma _1 \sigma _2 } \) whereas for Im σ2/Im σ1<0 the procedure becomes chaotized and the medium loses its property of self-averagability.

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Copyright information

© American Institute of Physics 1999

Authors and Affiliations

  • S. P. Luk’yanets
    • 1
  • A. E. Morozovskii
    • 2
  • A. A. Snarkskii
    • 2
  1. 1.Institute of PhysicsNational Academy of Sciences of UkraineKievUkraine
  2. 2.Ukrainian National Technical UniversityKievUkraine

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