Numerical study of transport properties in continuum percolation

X. C. Zeng, J. B. J Bergman, D. Stroud

Research output: Contribution to journalLetterpeer-review

7 Scopus citations


We present numerical simulations of AC conductance for a random resistorcapacitor network. The conductance obeys a probability density function p(g)∝g−α(0<α<1). We use a highly efficient propagation algorithm to calculate the effective conductance of a long strip of a lattice. At low frequencies, we find that for the concentration p of conducting bonds less than the percolation threshold pc, the imaginary part of conductance is proportional to frequency Im(geff)≃ω and the real part of conductance shows an anomalous frequency dependence Re(geff)≃ω2−α. The results of simulations in such a continuum system are in agreement with the predictions of the effective medium and the Maxwell-Garnett approximation. We also calculate the non-universal DC conductivity exponents in continuum percolation; the result are consistent with earlier theoretical predictions and numerical calculations.

Original languageEnglish (US)
Pages (from-to)L949-L953
JournalJournal of Physics A: Mathematical and General
Issue number19
StatePublished - Oct 7 1988
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)


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