NUMERICAL-SIMULATION OF AC ELECTRICAL-PROPERTIES OF RANDOM INHOMOGENEOUS SYSTEMS - APPLICATION TO HEAT-TREATED POLYMERS

The electrical transport properties in long range fluctuation systems, particulary in homogeneous two‐phase systems in which one phase is much more conductive, are numerically simulated in the ac regime. Both two‐ and three‐dimensional networks consisting in a regular arrangement of resistors and capacitors are considered. The theoretical results are of interest both in the case of a Maxwell‐Wagner type inhomogeneous model such as pyrolyzed organic semiconductors, and in the case of microscopically inhomogeneous materials where two phases of very different conductivities are mixed. Interesting results are obtained from the comparison of the theoretical capacity and resistance frequency dependence of the simulated material with the corresponding experimental plots obtained from heat‐treated polyacrylonitrile samples. Copyright © 1978 WILEY‐VCH Verlag GmbH & Co. KGaA