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.
Braglia, G L;
[1]
Caraffini, G L;
Diligenti, M
[2]
- Parma Univ. (Italy). Ist. di Fisica
- Parma Univ. (Italy). Ist. di Matematica
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}
}
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}
}