Modeling of dispersive transport with inhomogeneous advection coefficient and memory kernel

Abstract

Dispersive transport in structures with spatially dependent memory kernel and advection coefficient V is considered. The variations in Φ and V can be related to a nonuniformly distributed electric field or to inhomogeneities in the spatial distribution of localized states. The transient current of the time-of-flight technique is calculated after neglecting the diffusion term. An explicit representation is obtained for a linear decrease in V (x) over the sample thickness for normal and dispersive transport. The variation in Φ and V leads to additional smearing of non-equilibrium particle package. Dispersive transient current curves can be observed even for normal transport for certain inhomogeneities in the advection term.