Generalized phase-space kinetic and diffusion equations for classical and dispersive transport

Philippa, Bronson;Robson, R.E.;White, R.D.

Abstract

We formulate and solve a physically-based, phase space kinetic equation for transport in the presence of trapping. Trapping is incorporated through a waiting time distribution function. From the phase-space analysis, we obtain a generalized diffusion equation in configuration space. We analyse the impact of the waiting time distribution, and give examples that lead to dispersive or non-dispersive transport. With an appropriate choice of the waiting time distribution, our model is related to fractional diffusion in the sense that fractional equations can be obtained in the limit of long times. Finally, we demonstrate the application of this theory to disordered semiconductors.

Journal

NEW JOURNAL OF PHYSICS

Publication Name

N/A

Volume

ISBN/ISSN

1367-2630

Edition

N/A

Issue

N/A

Pages Count

Location

N/A

Publisher

Institute of Physics Publishing

Publisher Url

N/A

Publisher Location

N/A

Publish Date

N/A

Url

N/A

Date

N/A

EISSN

N/A

DOI

10.1088/1367-2630/16/7/073040