Fluid modeling and analysis of the constriction of the DC positive column in argon

IEEE Transactions on Plasma Science

Volumn 37, Issue 7 PART 2, 2009, Pages 1208-1218

  Gnybida, Mykhalo ^a   Loffhagen, Detlef ^a   Uhrlandt, Dirk ^a  

^a LEIBNIZ INSTITUTE FOR PLASMA SCIENCE AND TECHNOLOGY   (Germany)

Author keywords

Fluid modeling; Gas discharges; Glow to arc transition; Low temperature plasma

Indexed keywords

AXISYMMETRIC; BALANCE EQUATIONS; CONSTRICTION EFFECTS; DC DISCHARGES; ELECTRON ENERGY BALANCE; ELECTRON TRANSPORT; ELECTRON VELOCITY DISTRIBUTION FUNCTIONS; FLUID MODELING; FLUID MODELS; GAS DISCHARGES; GAS TEMPERATURE; GLOW-TO-ARC TRANSITION; IONIZATION DEGREE; LOW-TEMPERATURE PLASMA; MAXWELLIAN DISTRIBUTION; MEAN ENERGY; MODEL PREDICTION; MODELING RESULTS; MOMENT METHODS; NONLOCAL; POSITIVE COLUMN; RATE COEFFICIENTS;

ARGON; BOLTZMANN EQUATION; CAVITY RESONATORS; DISCHARGE (FLUID MECHANICS); DISTRIBUTION FUNCTIONS; ELECTRONS; FLUIDS; GAS DISCHARGE TUBES; GLOW DISCHARGES; IONIZATION OF GASES; PLASMAS;

METHOD OF MOMENTS;

EID: 67949123157     PISSN: 00933813     EISSN: None     Source Type: Journal    
DOI: 10.1109/TPS.2009.2021419     Document Type: Article

References (63)

1. Y. Raizer, Gas Discharge Physics. Berlin, Germany: Springer-Verlag, 1991.
2. A. Eletskii and B. Smirnov, "Physical processes in gas lasers," J. Russ. Laser Res., vol. 7, no. 3, pp. 207-323, May 1986.
3. M. Jinno, M. Okamoto, M. Takeda, and H. Motomura, "Luminance and efficacy improvement of low-pressure xenon pulsed fluorescent lamps by using an auxiliary external electrode," J. Phys. D, Appl. Phys., vol. 40, no. 13, pp. 3885-3889, Jul. 2007.
4. C. Kenty, "Volume recombination, constriction, and volt-ampere characteristics of the positive column," Phys. Rev., vol. 126, no. 4, pp. 1235-1238, May 1962.
5. J. Massey and S. Cannon, "Constricted discharges in the rare gases. I. Spectroscopic and electrical measurements," J. Appl. Phys., vol. 36, no. 2, pp. 361-372, Feb. 1964.
6. J. Massey, "Constricted discharges in the rare gases. II. Analysis of the macroscopic properties of the discharge," J. Appl. Phys., vol. 36, no. 2, pp. 373-380, Feb. 1964.
7. Y. Baranov and K. Yl'yanov, "Contraction of the positive column. I," Sov. Phys. Tech. Phys., vol. 14, p. 176, 1969.
8. Y. Baranov and K. Yl'yanov, "Contraction of the positive column. II," Sov. Phys. Tech. Phys., vol. 14, p. 183, 1969.
9. S. Hatori and S. Shioda, "Contraction of a positive column in an argon glow discharge," J. Phys. Soc. Jpn., vol. 40, pp. 1449-1455, 1975.
10. D. Venzke, "Untersuchungen der kontrahierten Edelgassäule bei mittleren Drücken. I. Verfahren zur Ermittlung der Plasmaparameter und ihrer Radialverteilungen," Beitr. Plasmaphys., vol. 15, pp. 35-45, 1975.
11. Y. Golubovskii, A. Zinchenko, and Y. Kagan, "Neon positive column at high pressures," Sov. Phys. Tech. Phys., vol. 22, pp. 851-855, 1977.
12. D. Venzke, "Untersuchungen der kontrahierten Edelgassäule bei mittleren Drücken. II. Meßergebnisse in Argon," Beitr. Plasmaphys., vol. 18, pp. 65-78, 1978.
13. Y. Golubovskii and R. Sonneburg, "Contraction of an inert-gas discharge. I. Argon (experiment)," Sov. Phys. Tech. Phys., vol. 24, pp. 173-177, 1979.
14. Y. Golubovskii and R. Sonneburg, "Contraction of an inert-gas discharge. III. Neon," Sov. Phys. Tech. Phys., vol. 24, pp. 437-439, 1979.
15. E. Toader, "On the constricted neon positive column," J. Phys. D, Appl. Phys., vol. 28, no. 1, pp. 75-80, Jan. 1994.
16. N. Dyatko, Y. Ionikh, I. Kochetov, D. Marinov, A. Meshchanov, A. Napartovich, F. Petrov, and S. Starostin, "Experimental and theoretical study of the transition between diffuse and contracted forms of the glow discharge in argon," J. Phys. D, Appl. Phys., vol. 41, no. 5, pp. 055 204-1-055 204-14, Mar. 2008.
17. A. Eletskii and B. Smirnov, "Contraction of the positive column of a glow discharge," Sov. Phys. Tech. Phys., vol. 15, pp. 1308-1310, 1969.
18. K. Ul'yanov, "Contraction of the positive column by dissociative recombination," Sov. Phys. Tech. Phys., vol. 18, pp. 360-364, 1973.
19. T. Růžička and K. Rohlena, "A theory of the positive column constriction in the noble gas discharges at medium pressures," Czech. J. Phys. B, vol. 26, no. 3, pp. 282-293, Mar. 1976.
20. Y. Golubovskii and R. Sonneburg, "Contraction of an inert-gas discharge. II. Argon (Theory)," Sov. Phys. Tech. Phys., vol. 24, pp. 177-180, 1979.
21. Y. Golubovskii, V. Nekuchaev, and E. Pelyukova, "Contraction of a gas discharge interpreted as a phase transition to a new dissipative structure," Tech. Phys., vol. 41, no. 3, pp. 254-260, Mar. 1996.
22. Y. Golubovskii, V. Nekuchaev, and E. Pelyukova, "Bifurcation analysis of contraction in inert gases I. Bifurcations of steady-state discharges," Tech. Phys., vol. 41, no. 10, pp. 1011-1019, Oct. 1996.
23. G. Petrov and C. Ferreira, "Numerical modelling of the constriction of the DC positive column in rare gases," Phys. Rev. E, Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top., vol. 59, no. 3, pp. 3571-3582, Mar. 1999.
24. K. Nobata and M. Kando, "Characteristics and contraction of oxygen glow discharge," J. Appl. Phys., vol. 50, no. 6, pp. 3956-3963, Jun. 1979.
25. 6," J. Phys. D, Appl. Phys., vol. 20, no. 4, pp. 453-461, Apr. 1987.
26. P. Daniels, R. Franklin, and J. Snell, "The contracted positive column in electronegative gases," J. Phys. D, Appl. Phys., vol. 23, no. 7, pp. 823-831, Jul. 1990.
27. P. Milsom, "Constriction of the positive column in a DC-driven sulphur hexafluoride gas discharge," J. Phys. D, Appl. Phys., vol. 29, no. 2, pp. 403-410, Feb. 1996.
28. Y. Kabouzi, M. Calzada, M. Moisan, K. Tran, and C. Trassy, "Radial contraction of microwave-sustained plasma columns at atmospheric pressure," J. Appl. Phys., vol. 91, no. 3, pp. 1008-1019, Feb. 2002.
29. V. Kolobov and R. Arslanbekov, "Simulation of electron kinetics in gas discharges," IEEE Trans. Plasma Sci., vol. 34, no. 3, pp. 895-909, Jun. 2006.
30. H. Leyh, D. Loffhagen, and R. Winkler, "A new multi-term solution technique for the electron Boltzmann equation weakly ionized steady-state plasmas," Comput. Phys. Commun., vol. 113, no. 1, pp. 33-48, Sep. 1998.
31. G. M.W. Kroesen, D. C. Schram, C. J. Timmermans, and J. C. M. de Haas, "The energy balance of a plasma in partial local thermodynamic equilibrium," IEEE Trans. Plasma Sci., vol. 18, no. 6, pp. 985-991, Dec. 1990.
32. R. Winkler and M. W. Wuttke, "A detailed study of electron kinetics involved in modelling discharge pumped excimer laser plasmas," Appl. Phys. B, Photophys. Laser Chem., vol. 54, no. 1, pp. 1-17, Jan. 1992.
33. D. Loffhagen, "Impact of electron-electron collisions on the spatial electron relaxation in non-isothermal plasmas," Plasma Chem. Plasma Process., vol. 25, no. 5, pp. 519-538, 2005.
34. 2 discharges," Plasma Sources Sci. Technol., vol. 9, no. 3, pp. 387-399, Aug. 2000.
35. N. R. Pinhão, Z. Donkó, D. Loffhagen, M. J. Pinheiro, and E. A. Richley, "Comparison of kinetic calculation techniques for the analysis of electron swarm transport at low to moderate E/N values," Plasma Sources Sci. Technol., vol. 13, no. 4, pp. 719-728, Nov. 2004.
36. G. Hagelaar and L. Pitchford, "Solving the Boltzmann equation to obtain electron transport coefficients and rate coefficients for fluid models," Plasma Sources Sci. Technol., vol. 14, no. 4, pp. 722-733, Nov. 2005.
37. D. Loffhagen, F. Sigeneger, and R. Winkler, "Electron kinetics in weakly ionized plasmas," in Low Temperature Plasmas: Fundamentals, Technologies and Techniques, 2nd ed., vol. 1, R. Hippler, H. Kersten, M. Schmidt, and K. H. Schoenbach, Eds. Weinheim, Germany: Wiley-VCH, 2008, ch. 2, pp. 15-45.
38. G. Hagelaar, F. de Hoog, and G. Kroesen, "Boundary conditions in fluid models of gas discharges," Phys. Rev. E, Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top., vol. 62, no. 1, pp. 1452-1454, Jul. 2000.
39. V. E. Golant, A. P. Zhilinsky, and I. E. Sakharov, Fundamentals of Plasma Physics. New York: Wiley, 1980.
40. 2) atoms on a Pyrex surface," Plasma Sources Sci. Technol., vol. 13, no. 2, pp. 303-308, May 2004.
41. W. J. M. Brok, J. van Dijk, M. D. Bowden, J. J. A. M. van der Mullen, and G. M. W. Kroesen, "A model study of propagation of the first ionization wave during breakdown in a straight tube containing argon," J. Phys. D, Appl. Phys., vol. 36, no. 16, pp. 1967-1979, Aug. 2003.
42. C. Yamabe, S. Buckman, and A. Phelps, "Measurement of free-free emission from low-energy-electron collisions with Ar," Phys. Rev. A, Gen. Phys., vol. 27, no. 3, pp. 1345-1352, Mar. 1983.
43. O. Zatsarinny and K. Bartschat, "B-spline Breit-Pauli R-matrix calculations for electron collisions with argon atoms," J. Phys. B, At. Mol. Opt. Phys., vol. 37, no. 23, pp. 4693-4706, Dec. 1999.
44. M. Hayashi, Bibliography of Electron and Photon Cross Sections with Atoms and Molecules Published in the 20th Century - Argon, 2003. NIFSDATA-072.
45. D. Rapp and P. Englander-Golden, "Total cross sections for ionization and attachment in gases by electron impact. I. Positive ionization," J. Chem. Phys., vol. 43, no. 5, pp. 1464-1479, Sep. 1965.
46. H. Deutsch, K. Becker, S. Matt, and T. Märk, "Calculated cross sections for the electron-impact ionization of metastable atoms," J. Phys. B, At. Mol. Opt. Phys., vol. 32, no. 17, pp. 4249-4259, Sep. 1999.
47. M. Flannery and K. McCann, "Cross sections for ionization of rare gas excimers by electron impact and atomic and molecular processes in excimer lasers," Georgia Inst. Technol., Atlanta, GA, p. 16, Tech. Rep. AFWALTR-80-2015, 1980.
48. A. Cunningham, T. O'Malley, and R. Hobson, "On the role of vibrational excitation in dissociative recombination," J. Phys. B, At. Mol. Opt. Phys., vol. 14, no. 4, pp. 773-782, Feb. 1981.
49. J. Jones, D. Lister, D. Wareing, and N. Twiddy, "The temperature dependence of the three-body reaction rate coefficient for some rare-gas atomic ion-atom reactions in the range 100-300 K," J. Phys. B, At. Mol. Opt. Phys., vol. 13, no. 16, pp. 3247-3255, Aug. 1980.
50. N. Kolokolov, A. Kudrjavtsev, and A. Blagoev, "Interaction processes with creation of fast electrons in the low temperature plasma," Phys. Scr., vol. 50, no. 4, pp. 371-402, 1994.
51. T. Holstein, "Imprisonment of resonance radiation in gases. II," Phys. Rev., vol. 83, no. 6, pp. 1159-1168, Sep. 1951.
52. W. Wiese, J. Braulth, K. Danzmann, V. Helbig, and M. Kock, "Unified set of atomic transitions probabilities for neutral argon," Phys. Rev. A, Gen. Phys., vol. 39, no. 5, pp. 2461-2471, Mar. 1989.
53. A. Irimia and C. Fischer, "Breit-Pauli and Dirac-Hartree-Fock energy levels and transition probabilities in neutral argon," J. Phys. B, At. Mol. Opt. Phys., vol. 37, no. 8, pp. 1659-1672, Apr. 2004.
54. A. Phelps and Z. Petrovíc, "Cold-cathode discharges and breakdown in argon: Surface and gas phase production of secondary electrons," Plasma Sources Sci. Technol., vol. 8, no. 3, pp. R21-R44, Aug. 1999.
55. H. Ellis, R. Pai, E. McDaniel, E. Mason, and L. Viehland, "Transport properties of gaseous ions over a wide energy range," At. Data Nucl. Data Tables, vol. 17, pp. 177-210, 1976.
56. J. Velazco, J. Kolts, and D. Setser, "Rate constants and quenching mechanism for metastable states of argon, krypton, and xenon," J. Chem. Phys., vol. 69, no. 10, pp. 4357-4373, Nov. 1978.
57. M. M. Becker, D. Loffhagen, and 33W. Schmidt, "A stabilized finite element method for modeling of gas discharges," Comput. Phys. Commun., 2009. [Online]. Available: http://dx.doi.org/10.1016/ j.cpc.2009.02.001
58. D. Scharfetter and H. Gummel, "Large-signal analysis of a silicon read diode oscillator," IEEE Trans. Electron. Devices, vol. ED-16, no. 1, pp. 64-77, Jan. 1969.
59. M. Barnes, T. Colter, and M. Elta, "Large-signal time-domain signal modeling of low-pressure RF glow discharges," J. Appl. Phys., vol. 61, no. 1, pp. 81-89, Jan. 1987.
60. P. Ventzek, R. Hoekstra, and M. Kushner, "Two-dimensional modeling of high plasma density inductively coupled sources for material processing," J. Vac. Sci. Technol. B, Microelectron. Process. Phenom., vol. 12, no. 1, pp. 461-477, Jan. 1994.
61. D. U. von Rosenberg, Methods for the Numerical Solution of Partial Differential Equations. New York: American Elsevier, 1969.
62. J. Ingold, "Nonequilibrium positive column," Phys. Rev. E, Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top., vol. 56, no. 5, pp. 5932-5944, Nov. 1997.
63. D. Uhrlandt, "Power balance and space-charge confinement in a neon DC column plasma," J. Phys. D, Appl. Phys., vol. 35, no. 17, pp. 2159-2168, Sep. 2002.