Numerical study of transport properties in continuum percolation

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

Research output: Contribution to journalLetter

7 Citations (Scopus)

Abstract

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
Volume21
Issue number19
DOIs
StatePublished - Oct 7 1988

Fingerprint

Continuum Percolation
Transport Properties
Conductance
Transport properties
Numerical Study
transport properties
continuums
Probability density function
Computer simulation
Calculate
Prediction
Percolation Threshold
Random Networks
predictions
probability density functions
Numerical Calculation
Conductivity
Anomalous
Strip
Low Frequency

ASJC Scopus subject areas

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

Cite this

Numerical study of transport properties in continuum percolation. / Zeng, Xiao C; J Bergman, J. B.; Stroud, D.

In: Journal of Physics A: Mathematical and General, Vol. 21, No. 19, 07.10.1988, p. L949-L953.

Research output: Contribution to journalLetter

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