Differential equation for transport along parallel linear successions of identical symmetrical potential barriers
The differential equation for transport of non-interacting species along parallel paths, each consisting of a linear succession of identical symmetrical potential barriers, is expanded as an infinite series in the derivatives of the electrostatic potential and concentration. The first order expressi...
Saved in:
| Published in | Canadian journal of chemistry Vol. 57; no. 11; pp. 1329 - 1334 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Ottawa, Canada
NRC Research Press
01.06.1979
|
| Online Access | Get full text |
Cover
Loading…
| Summary: | The differential equation for transport of non-interacting species along parallel paths, each consisting of a linear succession of identical symmetrical potential barriers, is expanded as an infinite series in the derivatives of the electrostatic potential and concentration. The first order expression is shown to represent the model adequately for all but extremely high space charge concentrations and/or extreme departures from steady-state conditions. Under the appropriate limiting conditions it reduces to the well-known linear transport equation, and to the Mott-Cabrera equation, but extends these to higher concentrations since the formulation forbids hops into occupied sites. The treatment leads to a concentration independent diffusion coefficient, but to a concentration dependent mobility. |
|---|---|
| ISSN: | 0008-4042 1480-3291 |
| DOI: | 10.1139/v79-217 |