Fractional diffusion in the multiple-trapping regime and revision of the equivalence with the continuous-time random walk |
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Authors: | Bisquert Juan |
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Institution: | Departament de Ciències Experimentals, Universitat Jaume I, 12080 Castelló, Spain. bisquert@uji.es |
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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. |
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