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Percolation I

  • Chapter
Fractals and Disordered Systems

Abstract

Percolation represents the simplest model of a disordered system [2.1–10]. Consider a square lattice, where each site is occupied randomly with probability p or is empty with probability 1 − p (see Fig. 2.0). Occupied and empty sites may stand for very different physical properties. For simplicity, let us assume that the occupied sites are electrical conductors, the empty sites represent insulators, and that electrical current can flow only between nearest-neighbor conductor sites.

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Authors
  1. Armin Bunde
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  2. Shlomo Havlin
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Editors and Affiliations

  1. Institut für Theoretische Physik, Universität Giessen, Heinrich-Buff-Ring 16, D-35392, Giessen, Germany

    Armin Bunde

  2. Department of Physics, Bar-Ilan University, Ramat Gan, Israel

    Shlomo Havlin

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Bunde, A., Havlin, S. (1996). Percolation I. In: Bunde, A., Havlin, S. (eds) Fractals and Disordered Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84868-1_2

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