Abstract
This paper deals with nonequilibrium transport of electrons and ions near absorbing boundaries where particle densities tend to decrease as the boundary is approached. This decrease affects the behavior of average velocity and average energy of the particles near the boundary. Consequently, transport and rate coefficients cannot be characterized by the local value of electric field. The purpose of this paper is to elucidate these nonequilibrium effects.
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References
M. J. Druyvesteyn, Physica 10:61 (1930) and 1:1003 (1934); E. M. Morse, W. P. Allis and E. S. Lamar, Phys. Rev. 48:412 (1935); and B. Davydov, Phys. Z. Sowj. Un. 8: 59 (1935).
L. G. H. Huxley and R. W. Crompton, “The Diffusion and Drift of Electrons in Gases,” Wiley, N. Y. (1974).
P. Segur, M. Yousfi, J. P. Boeuf, E. Marode, A. J. Davies, and J. G. Evans, The microscopic treatment of nonequilibrium regions in a weakly ionized gas, in: “Electrical Breakdown and Discharges in Gases,” E. E. Kunhardt and L. H. Luessen, eds., Plenum, N.Y. (1983). Vol. 89A of NATO Advanced Study Institute Series B: Physics.
L. C. Pitchford, J. P. Boeuf, P. Segur, and E. Marode, Non-Equilibrium electron transport: a brief overview, in:“Nonequilibrium Effects in Ion and Electron Transport,” J. W. Gallagher, D. F. Hudson, E. E. Kunhardt, and R. J. van Brunt, eds., Plenum, N. Y. (1990). This reference includes Proceedings of the Sixth International Swarm Seminar, held Aug. 2–5, 1989, in Glen Cove, N. Y.
K. Kumar, H. R. Skullerud, and R. E. Robson, Aust. J. Phys. 33: 343 (1980).
H. Grad, Principles of the kinetic theory of gases, in: “Handbuch der Physik,” S. Flugge, ed., Springer-Verlag, Berlin (1956), Vol. XII. Chapter V of this article describes the thirteen moment method of solving the Boltzmann equation for molecules in local thermodynamic equilibrium.
I. I. Kolodner, Moment Description of Gas Mixtures-I, Report # NYO-7980, Institute of Mathematical Sciences, New York University, 10 September 1957. Work performed under AEC Contract # AT(30–1)-1480. P. Sockol, NASA report around 1965.
C. D. Child, Phys. Rev. 32:492 (1911); I. Langmuir, Phys. Rev. 2: 450 (1913).
W. P. Allis and S. J. Buchsbaum, Plasma theory, in: “Electrons, Ions, and Waves: Selected Works of William Phelps Allis,” S. C. Brown, ed., MIT Press, Cambridge, MA (1967).
J. H. Ingold, Transient response of electrons in a low pressure discharge, Paper V-1, Third Gaseous Electronics Meeting, Australian National University, Canberra, 8–10 February 1984. (Abstract of this talk can be obtained by request from the author.)
See L. C. Pitchford and T. A. Green, Bull. Am. Phys. Soc. 29:148 (1984) for constant cross section results; P. J. Drallos and J. M. Wahedra, Phys. Rev. A 40:1967 (1989) for argon and neon cross section results.
M. E. Duffy and J. H. Ingold, Bull. Am. Phys. Soc. 34: 307 (1989).
E. B. Wagner, F. J. Davis, and G. S. Hurst, J. Chem. Phys. 47: 3138 (1967).
J. H. Parker and J. J. Lowke, Phys. Rev. 181: 290, (1969).
J. J. Lowke and J. H. Parker, Phys. Rev. 181: 302, (1969).
H. A. Blevin and J. Fletcher, Aust. J. Phys. 37: 593 (1984).
J. H. Ingold, Phys. Rev. A 42: 950 (1990).
J. Lucas, Int. J. Electronics 21: 535 (1966).
R. W. L. Thomas and W. R. L. Thomas, J. Phys. B: Atomic and Molecular Physics 2: 562 (1969).
Y. Sakai, H. Tagashira, and S. Sakamoto, J. Phys. B: Atomic and Molecular Physics 5: 1010 (1972).
T. J. Sornmerer, W. N. G. Hitchon, and J. E. Lawler, Phys. Rev. A 39: 6356 (1989).
Y. Sakai, H. Sugawara, and H. Tagashira, An analysis of position-dependent electron swarm behavior in steady-state Townsend discharges, Paper HA-7, 44th Annual Gaseous Electronics Conference, Albuquerque, NM, 22–25 October 1991 ).
J. H. Ingold, Phys. Rev. A 40: 3855 (1989).
E. Blue and J. H. Ingold, Thermionic energy conversion, in: “Direct Energy Conversion,” G. W. Sutton, ed., Wiley, N. Y. (1966).
J. J. Lowke, J. H. Parker, and C. A. Hall, Phys Rev. A 15: 1237 (1977).
G. L. Braglia and J. J. Lowke, J. Phys. D: Applied Physics 12: 1831 (1979).
R. E. Robson, Aust. J. Phys. 34: 223 (1981).
J. H. Ingold, Phys. Rev. A 44: 3822 (1991).
E. E. Kunhardt, J. Wu, and B. Penetrante, Phys. Rev. A 37: 1654 (1988).
G. Roumeliotis and L. E. Cram, J. Phys. D: Appl. Phys. 22: 113 (1989).
L. E. Cram, Phys. Rev. A 43: 4480 (1991).
E. W. McDaniel, “Collision Phenomena in Ionized Gases,” Wiley & Sons, N. Y. (1964), Chap. 9.
C. B. Zarowin, J. Vac. Sci. Technol. A2: 1537 (1984).
J. R. Forrest and R. N. Franklin, J. Phys. D 1: 1357 (1968).
J. H. Ingold, Phys. Fluids 15: 75 (1972).
A. Metze, D.W. Ernie, and H. J. Oskam, Phys. Rev. A 39: 4117 (1989).
D. J. Economou, D. R. Evans, and R. C. Alkire, J. Electrochem. Soc. 135: 756 (1988).
R. T. Farouki, S. Hamaguchi, and M. Dalvie, Phys. Rev. A 44: 2664 (1991).
G. H. Wannier, Bell Sys. Tech. J. 32: 170 (1966).
J. E. Lawler, Phys. Rev. A 32: 2977 (1985).
R. Forman, Phys. Rev. 123: 1537 (1961).
J. H. Ingold, J. Appl. Phys. 40: 62 (1969).
Case B1 of Ref. 37 is characterized by equal masses and charge exchange collisions only, while Case B3 is characterized by equal masses and elastic collisions only.
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Ingold, J. (1993). Nonequilibrium Motion of Electrons and Ions Near Absorbing Boundaries. In: Ferreira, C.M., Moisan, M. (eds) Microwave Discharges. NATO ASI Series, vol 302. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1130-8_26
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DOI: https://doi.org/10.1007/978-1-4899-1130-8_26
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