Third-order transport coefficients for localised and delocalised charged-particle transport
Journal Publication ResearchOnline@JCUAbstract
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.
Journal
Scientific Reports
Publication Name
N/A
Volume
8
ISBN/ISSN
2045-2322
Edition
N/A
Issue
N/A
Pages Count
11
Location
N/A
Publisher
Nature Publishing Group
Publisher Url
N/A
Publisher Location
N/A
Publish Date
N/A
Url
N/A
Date
N/A
EISSN
N/A
DOI
10.1038/s41598-018-19711-5