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

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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 σ 1 and σ 2 are the conductances of the phases) and Im σ 2/Im σ 1>0 the hierarchy construction procedure yields the Dykhne expression \(\sigma _e = \sqrt {\sigma _1 \sigma _2 } \) whereas for Im σ 2/Im σ 1<0 the procedure becomes chaotized and the medium loses its property of self-averagability.

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Authors and Affiliations

  1. Institute of Physics, National Academy of Sciences of Ukraine, 252650, Kiev, Ukraine

    S. P. Luk’yanets

  2. Ukrainian National Technical University, 252056, Kiev, Ukraine

    A. E. Morozovskii & A. A. Snarkskii

Authors
  1. S. P. Luk’yanets
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  2. A. E. Morozovskii
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  3. A. A. Snarkskii
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Additional information

Zh. Tekh. Fiz. 69, 118–121 (April 1999)

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Luk’yanets, S.P., Morozovskii, A.E. & Snarkskii, A.A. Transition to chaotization and loss of self-averagability in two-dimensional two-phase media at the percolation threshold. Tech. Phys. 44, 458–461 (1999). https://doi.org/10.1134/1.1259322

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  • DOI: https://doi.org/10.1134/1.1259322

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