Theoretical transient currents from two‐component unipolar space‐charge swarms in fields in media

Bob L. Henson

doi:10.1063/1.341390

Theoretical transient currents from two‐component unipolar space‐charge swarms in fields in media

Bob L. Henson

University of Missouri-St. Louis

Research output: Contribution to journal › Article › peer-review

Abstract

<div class="line" id="line-9"> <span style="font-family: Lora, serif; font-size: 20px;"> Using an arbitrary initial unipolar space&hyphen;charge distribution consisting of two species of charge carriers of different but constant mobilities in a medium, relations for the electric fields and charge&hyphen;carrier densities are derived as functions of positions and time. The highly nonlinear, one&hyphen;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&hyphen;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&hyphen;dependent current caused by the drifting space&hyphen;charge swarm. The general equations are applied to the special case where the initial space&hyphen;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. </span></div>

Original language	American English
Journal	Journal of Applied Physics
Volume	64
DOIs	https://doi.org/10.1063/1.341390
State	Published - Oct 15 1988

Disciplines

Physics
Condensed Matter Physics

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title = "Theoretical transient currents from two‐component unipolar space‐charge swarms in fields in media",

abstract = " Using an arbitrary initial unipolar space&hyphen;charge distribution consisting of two species of charge carriers of different but constant mobilities in a medium, relations for the electric fields and charge&hyphen;carrier densities are derived as functions of positions and time. The highly nonlinear, one&hyphen;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&hyphen;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&hyphen;dependent current caused by the drifting space&hyphen;charge swarm. The general equations are applied to the special case where the initial space&hyphen;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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N2 - Using an arbitrary initial unipolar space&hyphen;charge distribution consisting of two species of charge carriers of different but constant mobilities in a medium, relations for the electric fields and charge&hyphen;carrier densities are derived as functions of positions and time. The highly nonlinear, one&hyphen;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&hyphen;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&hyphen;dependent current caused by the drifting space&hyphen;charge swarm. The general equations are applied to the special case where the initial space&hyphen;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.

AB - Using an arbitrary initial unipolar space&hyphen;charge distribution consisting of two species of charge carriers of different but constant mobilities in a medium, relations for the electric fields and charge&hyphen;carrier densities are derived as functions of positions and time. The highly nonlinear, one&hyphen;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&hyphen;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&hyphen;dependent current caused by the drifting space&hyphen;charge swarm. The general equations are applied to the special case where the initial space&hyphen;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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JO - Journal of Applied Physics

JF - Journal of Applied Physics

ER -

Theoretical transient currents from two‐component unipolar space‐charge swarms in fields in media

Abstract

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