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

Philippa, Bronson, Robson, R.E., and White, R.D. (2014) Generalized phase-space kinetic and diffusion equations for classical and dispersive transport. New Journal of Physics, 16. 073040.

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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.

Item ID: 34337
Item Type: Article (Research - C1)
ISSN: 1367-2630
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Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

Funders: Australian Research Council (ARC), Queensland Smart Futures Fund
Date Deposited: 31 Jul 2014 04:43
FoR Codes: 02 PHYSICAL SCIENCES > 0203 Classical Physics > 020304 Thermodynamics and Statistical Physics @ 50%
01 MATHEMATICAL SCIENCES > 0105 Mathematical Physics > 010506 Statistical Mechanics, Physical Combinatorics and Mathematical Aspects of Condensed Matter @ 50%
SEO Codes: 97 EXPANDING KNOWLEDGE > 970102 Expanding Knowledge in the Physical Sciences @ 100%
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