Using an arbitrary initial unipolar space‐charge distribution consisting of two species of charge carriers of different but constant mobilities in a medium, relations for the electric fields and charge‐carrier densities are derived as functions of positions and time. The highly nonlinear, one‐dimensional equations, which are derived for swarms of charge carriers between parallel plane electrodes with a fixed potential difference, include the effects of the space‐charge fields. A general method is outlined which, in principle, can be used to generate a second order differential equation whose solution predicts the time‐dependent current caused by the drifting space‐charge swarm. The general equations are applied to the special case where the initial space‐charge distributions are uniform in a solid or fluid medium. Although the resulting differential equation is complicated, the equation is in a form such that its solutions could be computer generated.
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15 October 1988
Research Article|
October 15 1988
Theoretical transient currents from two‐component unipolar space‐charge swarms in fields in media
Bob L. Henson
Bob L. Henson
Department of Physics, University of Missouri‐St. Louis, St. Louis, Missouri 63121
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J. Appl. Phys. 64, 3825–3830 (1988)
Article history
Received:
May 06 1988
Accepted:
June 27 1988
Citation
Bob L. Henson; Theoretical transient currents from two‐component unipolar space‐charge swarms in fields in media. J. Appl. Phys. 15 October 1988; 64 (8): 3825–3830. https://doi.org/10.1063/1.341390
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