Fokker-Planck equation and relevant Chapman-Cowling-Davydov expression modified for coulomb scattering |
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Authors: | G Cavalleri G Mauri |
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Affiliation: | (1) Università Cattolica del Sacro Cuore, Via Trieste 17, I-25121 Brescia, Italia;(2) Dipartimento di Matematica del Politecnico di Milano, Milano, Italia |
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Abstract: | Summary TheP
1 approximation to the Boltzmann equation in the case of slightly ionized gases leads to the usual Fokker-Planck equation whose
solution in steady-state condition is the Chapman-Cowling-Davydov (CCD) expression. We have extended the same procedure to
include electron-ion interactions when the corresponding collision frequency is of the same order of, or larger than, the
electron-neutral molecule collision frequency. We have considered a case where, after an initial ionization of a column of
gas, the majority of the electrons have diffused to, and have been captured by, the walls of the chamber so that we may neglect
the electron-electron interactions. We have found a modified CCD expression. However, numerical calculations show that the
differences between the modified expressions and the standard ones in which the electron-ion collision frequency for momentum
transfer is added to the electron-neutral collision frequency are beyond the present experimental accuracy. |
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Keywords: | Transport properties |
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