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Study of the relaxation of electron velocity distributions in gases

Abstract

The Fokker-Planck equation governing the relaxation of the electron speed (energy) distribution in gases is solved in a number of cases of special interest. The solution is given in terms of eigenfunctions of the Fokker-Planck operator, satisfying an orthonormalization condition in which the steady-state distribution is the weight function. The real cross-sections of the noble gases He, Ne, Ar, Kr and Xe, together with model collision frequencies of the form ..nu..(v) = ..cap alpha..vsup(n) with n = 0.5, 1, 1.5, 3 and 3.5, are used to calculate eigenvalues and eigenfunctions. The first fifteen eigenvalues are obtained in each case both in the absence and in the presence of a d.c. electric field and, in the latter case, both with atoms at rest and atoms in motion. Calculations of relaxation times and examples of evolutions towards their steady-state forms of given initial distributions are reported in several particular cases.
Authors:
Braglia, G L; [1]  Caraffini, G L; Diligenti, M [2] 
  1. Parma Univ. (Italy). Ist. di Fisica
  2. Parma Univ. (Italy). Ist. di Matematica
Publication Date:
Mar 11, 1981
Product Type:
Journal Article
Reference Number:
AIX-14-765679; EDB-83-141280
Resource Relation:
Journal Name: Nuovo Cimento B; (Italy); Journal Volume: 62:1; Other Information: 16 refs
Subject:
36 MATERIALS SCIENCE; ARGON; RELAXATION; HELIUM; KRYPTON; NEON; XENON; DISTRIBUTION FUNCTIONS; EIGENFUNCTIONS; EIGENVALUES; ELECTRONS; FOKKER-PLANCK EQUATION; RELAXATION TIME; TRANSPORT THEORY; DIFFERENTIAL EQUATIONS; ELEMENTARY PARTICLES; ELEMENTS; EQUATIONS; FERMIONS; FLUIDS; FUNCTIONS; GASES; LEPTONS; NONMETALS; PARTIAL DIFFERENTIAL EQUATIONS; RARE GASES; 360603* - Materials- Properties
OSTI ID:
6132337
Country of Origin:
Italy
Language:
English
Other Identifying Numbers:
Journal ID: CODEN: NCIBA
Submitting Site:
HEDB
Size:
Pages: 139-163
Announcement Date:
Jun 01, 1983

Citation Formats

Braglia, G L, Caraffini, G L, and Diligenti, M. Study of the relaxation of electron velocity distributions in gases. Italy: N. p., 1981. Web. doi:10.1007/BF02721256.
Braglia, G L, Caraffini, G L, & Diligenti, M. Study of the relaxation of electron velocity distributions in gases. Italy. https://doi.org/10.1007/BF02721256
Braglia, G L, Caraffini, G L, and Diligenti, M. 1981. "Study of the relaxation of electron velocity distributions in gases." Italy. https://doi.org/10.1007/BF02721256.
@misc{etde_6132337,
title = {Study of the relaxation of electron velocity distributions in gases}
author = {Braglia, G L, Caraffini, G L, and Diligenti, M}
abstractNote = {The Fokker-Planck equation governing the relaxation of the electron speed (energy) distribution in gases is solved in a number of cases of special interest. The solution is given in terms of eigenfunctions of the Fokker-Planck operator, satisfying an orthonormalization condition in which the steady-state distribution is the weight function. The real cross-sections of the noble gases He, Ne, Ar, Kr and Xe, together with model collision frequencies of the form ..nu..(v) = ..cap alpha..vsup(n) with n = 0.5, 1, 1.5, 3 and 3.5, are used to calculate eigenvalues and eigenfunctions. The first fifteen eigenvalues are obtained in each case both in the absence and in the presence of a d.c. electric field and, in the latter case, both with atoms at rest and atoms in motion. Calculations of relaxation times and examples of evolutions towards their steady-state forms of given initial distributions are reported in several particular cases.}
doi = {10.1007/BF02721256}
journal = []
volume = {62:1}
journal type = {AC}
place = {Italy}
year = {1981}
month = {Mar}
}