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 chemistry and physics and based on the Spencer–Fano equation.

1.
B.
Shizgal
and
D. R. A.
McMahon
,
Phys. Rev. A
32
,
366
(
1985
).
2.
D. R. A.
McMahon
and
B.
Shizgal
,
Phys. Rev. A
31
,
1894
(
1985
).
3.
L. A.
Viehland
,
S.
Ranganathan
, and
J.
Shizgal
,
J. Chem. Phys.
88
,
362
(
1988
).
4.
B.
Shizgal
,
D. R. A.
McMahon
, and
L. A.
Viehland
,
Radiat. Phys. Chem.
34
,
35
(
1989
).
5.
G. N.
Haddad
,
Aust. J. Phys.
38
,
677
(
1985
).
6.
L. V.
Spencer
and
U.
Fano
,
Phys. Rev.
93
,
1172
(
1954
).
7.
L. V.
Spencer
,
Radiat. Res.
97
,
219
(
1984
).
8.
M.
Inokuti
,
M. A.
Dillon
, and
M.
Kimura
,
Int. J. Quantum Chem.
21
,
251
(
1987
).
9.
D. A.
Douthat
,
Radiat. Res.
61
,
141
(
1975
).
10.
M. A.
Dillon
,
M.
Inokuti
, and
M.
Kimura
,
Radiat. Phys. Chem.
32
,
43
(
1988
).
11.
M.
Inokuti
,
M.
Kimura
, and
M. A.
Dillon
,
Phys. Rev. A
38
,
1217
(
1988
).
12.
R. M.
May
,
Phys. Rev.
135
,
1009
(
1964
).
13.
C. F.
Eaton
and
L. H.
Holway
,
Phys. Rev.
143
,
48
(
1966
).
14.
R. N.
Carlile
,
IEEE Trans. Plasma Sci.
12
,
214
(
1984
).
15.
L. C. Pitchford, Air Force Wright Aeronautics Laboratory Report No. AFWAL-TR-85-2016, 1985.
16.
K.
Kowari
and
B.
Shizgal
,
Radiat. Isotopes-Int. J. Radiat. Appl. Instrum. Part A
42
,
985
(
1991
).
17.
K.
Kowari
,
Phys. Rev. A
41
,
2500
(
1990
).
18.
J.
Barrett
and
B.
Shizgal
,
J. Chem. Phys.
91
,
6505
(
1990
).
19.
K.
Kumar
,
H. R.
Skullerud
, and
R. E.
Robson
,
Aust. J. Phys.
33
,
343
(
1980
).
20.
L. C.
Pitchford
,
S. V.
O’Neil
, and
R. J.
Rumble
, Jr.
,
Phys. Rev. A
23
,
294
(
1981
).
21.
S. L.
Lin
,
R. E.
Robson
, and
E. A.
Mason
,
J. Chem. Phys.
71
,
3483
(
1979
).
22.
K. F.
Ness
and
R. E.
Robson
,
Phys. Rev. A
34
,
2185
(
1986
).
23.
R. E.
Robson
and
K. F.
Ness
,
Phys. Rev. A
33
,
2068
(
1986
).
24.
E. C.
Shoub
,
Astrophys. J. Suppl. Ser.
34
,
259
(
1977
).
25.
J. R. Viegas, Ph. D. dissertation, Stanford University, 1967.
26.
M. Mitchner and C. H. Kruger, Partially Ionized Gases (Wiley, New York, 1973).
27.
C. S. Wang Chang and G. E. Uhlenbeck, Engineering Research Institute, University of Michigan, Report No. CM-681, 1951;
C. S. Wang Chang, G. E. Uhlenbeck and J. De Boer, Studies in Statistical Mechanics, edited by J. De Boer and G. E. Uhlenbeck (North-Holland, Amsterdam, 1970), Vol. 2.
28.
R.
Wolfgang
,
Prog. React. Kinet.
3
,
97
(
1965
).
29.
S. Glasstone and M. C. Endlund, The Elements of Nuclear Reactor Theory (Van Nostrand, New York, 1951).
30.
M. M. R. Williams, The Slowing Down and Thermalization of Neutrons (North-Holland, Amsterdam, 1966).
31.
H.
Tanaka
,
M.
Kubo
,
N.
Onodera
, and
A.
Suzuki
,
J. Phys. B
16
,
2861
(
1983
).
32.
M. Hayashi, Swarm Studies and Inelastic Electron Molecule Collisions (Springer, New York, 1987), p. 167.
33.
Y.
Omori
,
K.
Kitamori
,
M.
Shimozuma
, and
H.
Tagashira
,
J. Phys.
D19
,
437
(
1986
).
34.
R. L. Burden and J. D. Faires, Numerical Analysis (PWS-Kent, Boston, 1989), p. 410.
35.
H. W.
Lewis
,
Phys. Rev.
125
,
125
(
1962
).
36.
K.
Kowari
,
M.
Kimura
, and
M.
Inokuti
,
J. Chem. Phys.
89
,
7229
(
1988
).
37.
M. A.
Ishii
,
M.
Kimura
,
M.
Inokuti
, and
K.
Kowari
,
J. Chem. Phys.
90
,
3081
(
1989
).
38.
M. A.
Ishii
,
M.
Kimura
, and
M.
Inokuti
,
Phys. Rev. A
42
,
6486
(
1990
).
39.
M.
Inokuti
,
M.
Kimura
, and
K.
Kowari
,
J. Chem. Lett.
152
,
504
(
1988
).
40.
K.
Kowari
and
B.
Shizgal
,
Chem. Phys. Lett.
176
,
575
(
1991
).
41.
B.
Shizgal
,
J. Chem. Phys.
74
,
1401
(
1981
).
42.
L. E. Reichl, A Modern Course in Statistical Physics, edited by E. E. Arnold (University of Texas, Austin, 1980).
43.
J. C. Light, J. Ross, and K. E. Shuler, in Kinetic Processes in Gases and Plasmas, edited by A. R. Hochstim (Academic, New York, 1969).
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