Nonequilibrium positive column

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 56, Issue 5, 1997, Pages 5932-5944

  Ingold, J H ^a  

^a One Bratenahl Place ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 25744440529     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.56.5932     Document Type: Article

References (37)

1. M. J. Druyvesteyn and F. M. Penning, Rev. Mod. Phys. 12, 87 (1940).RMPHAT
2. G. Francis, in The Glow Discharge at Low Pressure, edited by S. Flugge, Handbuch der Physik Vol. 22 (Springer, Berlin, 1956), p. 53.
3. J. L. Blank, Phys. Fluids 11, 1686 (1968).PFLDAS
4. I. B. Bernstein and T. Holstein, Phys. Rev. 94, 1475 (1954).PHRVAO
5. L. D. Tsendin, Zh. Eksp. Teor. Fiz. 66, 1638 (1974) [Sov. Phys. JETP 39, 805 (1974)]; SPHJAR
6. Zh. Tekh. Fiz. 47, 1839 (1977) [Sov. Phys. Tech. Phys. 22, 1066 (1977)]; SPTPA3
7. 48, 1569 (1978) [23, 890 (1978)];
8. Plasma Sources Sci. Technol. 4, 200 (1995).PSTEEU
9. D. Uhrlandt and R. Winkler, J. Phys. D 29, 115 (1996).JPAPBE
10. C. Busch and U. Kortshagen, Phys. Rev. E 51, 280 (1995).PLEEE8
11. W. Schottky, Z. Phys. 25, 635 (1924).ZEPYAA
12. L. Tonks and I. Langmuir, Phys. Rev. 34, 876 (1929).PHRVAO
13. L. G. H. Huxley and R. W. Crompton, The Diffusion and Drift of Electrons in Gases (Wiley, New York, 1974).
14. L. Vriens, J. Appl. Phys. 44, 3980 (1973).JAPIAU
15. R. Lagushenko and J. Maya, J. Illum. Eng. Soc. 14, 306 (1984).
16. J. H. Ingold, Bull. Am. Phys. Soc. 41, 1345 (1996).BAPSA6
17. G. J. Parker, W. N. G. Hitchon, and J. E. Lawler, Phys. Rev. E 50, 3210 (1994).PLEEE8
18. J. E. Lawler, U. Kortshagen, and G. J. Parker, Bull. Am. Phys. Soc. 41, 1345 (1996).BAPSA6
19. U. Kortshagen, J. E. Lawler, and G. J. Parker, Bull. Am. Phys. Soc. 41, 1345 (1996).BAPSA6
20. G. J. Parker, U. Kortshagen, and J. E. Lawler, Bull. Am. Phys. Soc. 41, 1345 (1996).BAPSA6
21. A thorough theoretical justification of this key assumption is given by G. Roumeliotis and L. E. Cram, J. Phys. D 22, 113 (1989); application to temporal nonequilibrium caused by rapidly varying (Formula presented) is also given. JPAPBE
22. See also L. E. Cram, Phys. Rev. A 43, 4480 (1991) for application to spatial nonequilibrium near absorbing boundaries.PLRAAN
23. See Electrons, Ions, and Waves: Selected Works of William Phelps Allis, edited by S. C. Brown (MIT Press, Cambridge, MA, 1967), p. 169.
24. A similar approach is taken by I. Abbas and P. Bayle, J. Phys. D 14, 649 (1981), to study nonequilibrium motion of electrons in the cathode fall.JPAPBE
25. D. Herrmann, A. Rutscher, and S. Pfau, Beit. Plasmaphys. 11, 75 (1971). It is noted by these authors that assumption of a Maxwellian (Formula presented) results in radially invariant average energy, approximately, while assumption of a non-Maxwellian (Formula presented)results in radially varying average energy, as noted here.
26. A similar derivation was given by W. P. Allis and D. J. Rose in their now classic paper on the transition from free diffusion to ambipolar diffusion, Phys. Rev. 93, 84 (1954).PHRVAO
27. W. F. Bailey and E. J. Bennett (private communication). Using ELENDIF, a 0D Boltzmann code marketed by Kinema Software, P.O. Box 1147, Monument, CO 80132, Bailey and Bennett provided the author with a 0D Boltzmann computation of μ, (Formula presented) β, (Formula presented) and collision frequencies versus average energy for neon.
28. The 0D Boltzmann code ELENDIF is described by W. L. Morgan and B. M. Penetrante, Comput. Phys. Commun. 58, 127 (1990).CPHCBZ
29. W. F. Bailey and E. J. Bennett (private communication);
30. see also Bull. Am. Phys. Soc. 41, 1344 (1996).BAPSA6
31. M. E. Duffy and J. H. Ingold, Bull. Am. Phys. Soc. 34, 307 (1989).BAPSA6
32. J. H. Ingold, Phys. Rev. A 42, 950 (1990).PLRAAN
33. J. H. Ingold, Phys. Rev. A 43, 3086 (1991).PLRAAN
34. M. J. Hartig and M. J. Kushner, J. Appl. Phys. 73, 1080 (1992).JAPIAU
35. S. Pfau, J. Rohman, D. Urhlandt, and R. Winkler, Contrib. Plasma Phys. 36, 449 (1996). Compare curves for the 1D (Formula presented) on axis and the 0D (Formula presented) on axis in Fig. 6 of this reference.CPPHEP
36. E. W. McDaniel, Collision Phenomena in Ionized Gases (Wiley, New York, 1964), p. 466, Table 9-9-1.
37. S. Chapman and T. G. Cowling, The Mathematical Theory of Non-Uniform Gases (Cambridge University Press, Cambridge, England, 1960), Chap. 13, p. 241, Table 22.