title: Lévy-flight anomalous diffusion in a composite medium.
abstract: The one-dimensional Lévy flight in a composite medium consisting of two layers in contact, with arbitrary Lévy indices, is investigated. Such systems are of much interest in the field of organic electronics, where diffusional transport between two materials profoundly influences the device performance. Using the jump-length probability density function for a particular Lévy index as a starting point, equations are derived that describe anomalous diffusion in a composite two-layer medium. Moreover, expressions for the current density are given, and the steady-state distribution for the special case of one dominating diffusion coefficient is illustrated.
authors.affiliation: Institute of Theoretical and Computational Physics, Graz University of Technology, Graz, Austria. bstickler@student.tugraz.at
authors.forename: B A
authors.initials: BA
authors.lastname: Stickler
authors.forename: E
authors.initials: E
authors.lastname: Schachinger