Empirical treatment of high field conduction

High direct fields in thick dielectric materials produce often linear plots between log J vs √E or log σ vs √E, where E is the field (or voltage V) applied to the specimen, J is the current density and σ is the conductivity. Usually such linearity is attributed either to the Schottky electrode-limiting process or the Frenkel-Poole bulk-limiting process involving thermal emission assisted by the electric field E. In the present paper a Brownian model is used to represent real conduction situations. It offers a uniform field solution to a complex set of oil impregnated experiments