Abstract
Organic polymers are usually insulators or semiconductors; only after 7–30% of dopant is added do the materials become conducting. The dopant is not regularly distributed: existing spatial inhomogenuities in the solids become centers of attraction for the dopant, which is then concentrated in conducting areas or zones. A mathematical model is presented in which the conducting regions are considered as conducting zones of various sizes and shapes. These regions are irregularly distributed and imbedded in insulated or semiconducting media, and connected in a nonlinear way. Nonlinear integral equations are derived to describe the conductivity in such materials. Predicted results are in agreement with experimentally measured electric field relaxation curves.
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