TY - JOUR
T1 - Numerical study of transport properties in continuum percolation
AU - Zeng, X. C.
AU - J Bergman, J. B.
AU - Stroud, D.
N1 - Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].
PY - 1988/10/7
Y1 - 1988/10/7
N2 - 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. © 1988 IOP Publishing Ltd.
AB - 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. © 1988 IOP Publishing Ltd.
UR - http://www.scopus.com/inward/record.url?scp=10644293607&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-10644293607&origin=recordpage
U2 - 10.1088/0305-4470/21/19/005
DO - 10.1088/0305-4470/21/19/005
M3 - Letter
SN - 0305-4470
VL - 21
SP - L949-L953
JO - Journal of Physics A: Mathematical and General
JF - Journal of Physics A: Mathematical and General
IS - 19
ER -