Article
The integro‐differential equations for time‐dependent space‐charge decay currents in media between radially symmetrical electrodes
Journal of Applied Physics
(1987)
Abstract
Using a single charge‐carrier species with a field‐independent mobility model, dimensionless, nonlinear integro‐differential equations have been derived whose solutions would exactly predict the time‐dependent current produced by the drift and collection of space‐charge swarms in media between electrodes with cylindrical and spherical symmetries. The equations are the one‐dimensional solutions of the mathematical problems involving arbitrary initial space‐charge distributions whose initial currents may or may not be space‐charge limited. In principle, if the initial charge distributions were known, the solutions would reduce to first‐order, nonlinear differential equations which then could be numerically integrated. The general equations are applied to a specific example of a charge‐density distribution which is important in scientific and technological applications.
Disciplines
Publication Date
January 10, 1987
DOI
10.1063/1.339394
Citation Information
Bob L. Henson. "The integro‐differential equations for time‐dependent space‐charge decay currents in media between radially symmetrical electrodes" Journal of Applied Physics Vol. 62 Iss. 7 (1987) p. 2858 - 2864 Available at: http://works.bepress.com/bob-henson/3/