1992
DOI: 10.1063/1.463144
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Electron degradation and thermalization in CH4 gas

Abstract: The relaxation to equilibrium of an ensemble of electrons dilutely dispersed in a large excess of CH4 is studied with solutions of the Boltzmann equation. Elastic and vibrationally inelastic collision processes are included in the analysis. The relaxation time for the approach to equilibrium defined for the relaxation of the average electron energy is determined for two different cross section sets. The kinetic theory formalism, based on the Boltzmann equation, is compared with the formalism used in radiation … Show more

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Cited by 20 publications
(16 citation statements)
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“…The theoretical method employed here follows closely that used previously, [18][19][20] which is based on the Boltzmann equation with collision terms for elastic and vibrationally inelastic collisions. The changes from this previous work due to the inclusion of the attachment to the molecular gas were discussed by Kowari and Shizgal.…”
Section: The Boltzmann Equationmentioning
confidence: 99%
See 2 more Smart Citations
“…The theoretical method employed here follows closely that used previously, [18][19][20] which is based on the Boltzmann equation with collision terms for elastic and vibrationally inelastic collisions. The changes from this previous work due to the inclusion of the attachment to the molecular gas were discussed by Kowari and Shizgal.…”
Section: The Boltzmann Equationmentioning
confidence: 99%
“…The derivation of the inelastic collision operator is given in the Appendix of Ref. 18. A total inelastic cross section i j (v) is given for an inelastic process between molecular states i and j.…”
Section: The Boltzmann Equationmentioning
confidence: 99%
See 1 more Smart Citation
“…The Fokker-Planck theory was developed by Shizgal and co-workers 10,16,17 and has proven to be successful in the calculation of the EDF and thermalization times in atomic moderators, 3,10,17 mixtures, 16,18 and molecular moderators such as CH 4 and SiH 4 . 19, 20 Mozumder 21 developed the displaced pseudo-Maxwellian approximation and applied this method to studies of electron thermalization in rare gases. 21,22 Among the experimental techniques for the determination of thermalization times in rare gases are the measurements of microwave conductivity, 23-29 transient mobility, 11,30 and time delay of recombination luminescence.…”
Section: Introductionmentioning
confidence: 99%
“…Thermalization of hot electrons in molecular gases, as well as in rare gases, is of interest in understanding collisional energy loss of electrons and various transport phenomena in ionized gases [1][2][3][4][5][6][7][8]. In the case of rare gases, the Boltzmann equation reduces to a Fokker-Planck equation, and a successful eigenvalue approach has been developed by Shizgal and co-workers [1,3].…”
Section: Introductionmentioning
confidence: 99%