Analytic solutions to the Boltzmann equation for electron swarms
- 1 March 1976
- journal article
- Published by IOP Publishing in Journal of Physics D: Applied Physics
- Vol. 9 (3) , 457-464
- https://doi.org/10.1088/0022-3727/9/3/011
Abstract
The Boltzmann equation describing an electron swarm in an electrostatic field in a gas is solved rigorously using a Green function technique. Analytic solutions are found for collision frequencies of the form nu c= nu 0( epsilon / epsilon 0)(l+1)/2 where epsilon is the electron energy, and the solutions are used to construct a formula for the ratio of longitudinal to lateral diffusion coefficients, D/sub ////D0. The results are found to provide good agreement with the recent computer simulations of Lucas and Saelee (1975).Keywords
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