Third-order transport coefficients for localised and delocalised charged-particle transport

Stokes, Peter W., Simonović, Ilija, Philippa, Bronson, Cocks, Daniel, Dujko, Sasa, and White, Ronald D. (2018) Third-order transport coefficients for localised and delocalised charged-particle transport. Scientific Reports, 8.

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Abstract

We derive third-order transport coefficients of skewness for a phase-space kinetic model that considers the processes of scattering collisions, trapping, detrapping and recombination losses. The resulting expression for the skewness tensor provides an extension to Fick’s law which is in turn applied to yield a corresponding generalised advection-diffusion-skewness equation. A physical interpretation of trap-induced skewness is presented and used to describe an observed negative skewness due to traps. A relationship between skewness, diffusion, mobility and temperature is formed by analogy with Einstein’s relation. Fractional transport is explored and its effects on the flux transport coefficients are also outlined.

Item ID: 55578
Item Type: Article (Research - C1)
ISSN: 2045-2322
Copyright Information: © The Author(s) 2018 This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.
Date Deposited: 28 Sep 2018 03:41
FoR Codes: 02 PHYSICAL SCIENCES > 0204 Condensed Matter Physics > 020405 Soft Condensed Matter @ 50%
02 PHYSICAL SCIENCES > 0204 Condensed Matter Physics > 020404 Electronic and Magnetic Properties of Condensed Matter; Superconductivity @ 50%
SEO Codes: 97 EXPANDING KNOWLEDGE > 970102 Expanding Knowledge in the Physical Sciences @ 100%
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