A DISSOCIATION-INJECTION MODEL FOR NONPOLAR LIQUID CONDUCTION AND WIRE-CYLINDER GEOMETRY

The conduction of a nonpolar liquid filling a cylindrical capacitor ha s been investigated with a model that includes both the dissociation o f ionic pairs in the bulk of the liquid and charge injection at the in ner electrode. Three different cases, of increasing complexity, have b een analyzed. Firstly, injection has been neglected and the dissociati on rate has been taken as constant. Then, the effect of the electric f ield on the dissociation rate has been considered. And, finally, a fie ld dependent injection of charge has been also included in the model. The current voltage characteristics corresponding to these three model s have been evaluated for different ratios of the electrodes radii. Ap proximate analytical expressions are provided for the charge density a nd electric field distributions over a wide range of parameters of phy sical interest.