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Analytically solvable model in fractional kinetic theory

Robson, Robert; Blumen, A


In this article we give a general prescription for incorporating memory effects in phase space kinetic equation, and consider in particular the generalized “fractional” relaxation time model equation. We solve this for small-signal charge carriers undergoing scattering, trapping, and detrapping in a time-of-flight experimental arrangement in two ways: sid approximately via the Chapman-Enskog scheme for the weak gradient, hydrodynamic regime, from which the fractional form of Fick’s law and...[Show more]

CollectionsANU Research Publications
Date published: 2005-06-15
Type: Journal article
Source: Physical Review E-Statistical, Nonlinear and Soft Matter Physics
DOI: 10.1103/PhysRevE.71.061104


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