title: Fractional diffusion in the multiple-trapping regime and revision of the equivalence with the continuous-time random walk.
abstract: We investigate the macroscopic diffusion of carriers in the multiple-trapping (MT) regime, in relation with electron transport in nanoscaled heterogeneous systems, and we describe the differences, as well as the similarities, between MT and the continuous-time random walk (CTRW). Diffusion of free carriers in MT can be expressed as a generalized continuity equation based on fractional time derivatives, while the CTRW model for diffusive transport generalizes the constitutive equation for the carrier flux.
authors.affiliation: Departament de Ciències Experimentals, Universitat Jaume I, 12080 Castelló, Spain. bisquert@uji.es
authors.forename: Juan
authors.initials: J
authors.lastname: Bisquert