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In order to investigate the validity of the scale-down experiment on gas discharge, the discharge in argon at low pressure is numerically simulated with scale-down discharge gap based on the conjecture of discharge similarity that if the product of gas pressure p and gap length d is kept constant, p1d1=p2d2, and the spatial distributions of the reduced field E/p along these two gaps are the same, the gas discharges in these two discharge gaps would be similar. In the simulation, three scale-down discharge gaps are used. Gap A is 30 mm long and works at a pressure of 1 Torr (1 Torr=133.322 Pa). Gap B is 15 mm long at 2 Torr and gap C 10 mm long at 3 Torr. The results show that the discharges in these three gaps are glow discharges with a cathode fall layer. The values of thickness of the cathode fall layer, dC, for gaps A, B and C are 2.71 mm, 1.35 mm and 0.87 mm, respectively, which corresponds to more or less the same value of pdC≈2.70 Torr·mm that is close to the lowest point of Paschen curve of argon where pd≈2.86 Torr·mm. The proportionalities of the parameters (working voltage, electric field, current density, electron density and ion density) between the discharges in the scale-down gaps are found to be in good agreement with those determined by the discharge similarity. It is concluded that the conjecture of discharge similarity is correct for the glow discharge in argon in the scale-down gap.
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Keywords:
- discharge similarity /
- glow discharge /
- scale-down gap
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[2] Roth J R 2001 Industrial Plasma Engineering Volume II: Applications to Non-Thermal Plasma Processing (Bristol: Institute of Physics) pp1-2
[3] Kim K M, Yang H L, Hong S H, Kim S T, Kim H T, Kim K P, Lee K S, Kim H K, Bak J S, Kstar Team 2009 Fusion Eng. Des. 84 1026
[4] Bucalossi J, Brosset C, Garnier D, Grisolia C, Grosman A, Martin G, Laurent F S 2003 J. Nucl. Mater. 313-316 263
[5] Wang Z W, Yan D H, Wang E Y 2002 Plasma Sci. Technol. 4 1165
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[7] R Aymar, Barabaschi P, Shimomura Y 2002 Plasma Phys. Control. Fusion 44 519
[8] Osmokrovic P, Zivic T, Loncar B, Vasic A 2007 IEEE Trans. on Plasma Science 35 100
[9] Dekic S, Osmokrovic P, Vujisic M, Stankovic K 2010 IEEE Trans. on Dielectr. Electr. Insulat. 17 1185
[10] Townsend J S 1915 Electricity in Gases (Oxford: ClarendonPress) p365
[11] Paschen F 1889 Wiedemann Annalen der Physik und Chemie 37 69
[12] Holm R 1924 Phys. Z. 25 497
[13] Margenau H 1948 Phys. Rev. 73 197
[14] Jones F L, Morgan G D 1951 Proc. Phys. Soc. Lond. B 64 560
[15] Janasek D, Franzke J, Manz A 2006 Nature 442 374
[16] Xu X J, Zhu D C 1996 Gas Discharge Physics (Shanghai: Fudan University Press) pp75-80 (in Chinese) [徐学基, 诸定昌 1996 气体放电物理(上海: 复旦大学出版社)第75–80页]
[17] Jong W S, Mark J K 1994 J. Appl. Phys. 75 1883
[18] Bogaerts A, Gijbels R 1999 J. Appl. Phys. 86 4124
[19] Kolokolov N B, Blagoev A B 1993 Phys. Usp. 36 152
[20] Yamabe C, Buckman S J, Phelps A V 1983 Phys. Rev. A 27 1345
[21] Pitchford L C, Phelps A V 1982 Phys. Rev. A 25 540
[22] Lieberman M A, Lichtenberg A J (Translated by Pu Y K) 2007 Principles of Plasma Discharge and Materials Processing ( Beijing: Science Press) p421 ( in Chinese) [迈克尔·A 力伯曼, 阿伦·J 里登伯格著, 蒲以康译 2007 等离子体放电原理与材料处理(北京: 科学出版社)第421 页]
[23] Yue Q Y, Jin H 1988 Radiation Protection 8 401 (in Chinese) [岳清宇, 金花 1988 辐射防护 8 401]
[24] L B, Wang X X, Luo H Y, Liang Z 2009 Chin. Phys. B 18 646
[25] Brown S B 1959 Basic Data of Plasma Physics (New York: John Wiley and Sons, Inc.) pp275-301
[26] Shao X J, Ma Y, Li Y X, Zhang G J 2010 Acta Phys. Sin. 59 8747 [邵先军, 马跃, 李娅西, 张冠军 2010 物理学报 59 8747]
[27] Sima W X, Peng Q J, Yang Q, Yuan T, Shi J 2012 IEEE Trans. Dielectr. Electr. Insulat. 19 660
[28] Liu X H, He W, Yang F, Wang H Y, Liao R J, Xiao H G 2012 Chin. Phys. B 21 075201
[29] Zhuang Y, Chen G, Rotaru M 2011 J. Phys: Conference Series 310 012011
[30] Montie T C, Wintenberg K K, Roth J R 2000 IEEE Trans. Plasma Sci. 28 41
[31] Bogaerts A, Neyts E, Gijbels R, van der Mullen J 2002 Spectrochim. Acta B 57 609
[32] Bogaerts A, Gijbels R, Goedheer W J 1995 J. Appl. Phys. 78 2233
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[1] Raizer Y P 1991 Gas Discharge Physics (Berlin: Springer-Verlag) pp76-239
[2] Roth J R 2001 Industrial Plasma Engineering Volume II: Applications to Non-Thermal Plasma Processing (Bristol: Institute of Physics) pp1-2
[3] Kim K M, Yang H L, Hong S H, Kim S T, Kim H T, Kim K P, Lee K S, Kim H K, Bak J S, Kstar Team 2009 Fusion Eng. Des. 84 1026
[4] Bucalossi J, Brosset C, Garnier D, Grisolia C, Grosman A, Martin G, Laurent F S 2003 J. Nucl. Mater. 313-316 263
[5] Wang Z W, Yan D H, Wang E Y 2002 Plasma Sci. Technol. 4 1165
[6] Tomabechi K, Gilleland J R, Sokolov Y A, Toschi R, ITER Team 1991 Nucl. Fusion 31 1135
[7] R Aymar, Barabaschi P, Shimomura Y 2002 Plasma Phys. Control. Fusion 44 519
[8] Osmokrovic P, Zivic T, Loncar B, Vasic A 2007 IEEE Trans. on Plasma Science 35 100
[9] Dekic S, Osmokrovic P, Vujisic M, Stankovic K 2010 IEEE Trans. on Dielectr. Electr. Insulat. 17 1185
[10] Townsend J S 1915 Electricity in Gases (Oxford: ClarendonPress) p365
[11] Paschen F 1889 Wiedemann Annalen der Physik und Chemie 37 69
[12] Holm R 1924 Phys. Z. 25 497
[13] Margenau H 1948 Phys. Rev. 73 197
[14] Jones F L, Morgan G D 1951 Proc. Phys. Soc. Lond. B 64 560
[15] Janasek D, Franzke J, Manz A 2006 Nature 442 374
[16] Xu X J, Zhu D C 1996 Gas Discharge Physics (Shanghai: Fudan University Press) pp75-80 (in Chinese) [徐学基, 诸定昌 1996 气体放电物理(上海: 复旦大学出版社)第75–80页]
[17] Jong W S, Mark J K 1994 J. Appl. Phys. 75 1883
[18] Bogaerts A, Gijbels R 1999 J. Appl. Phys. 86 4124
[19] Kolokolov N B, Blagoev A B 1993 Phys. Usp. 36 152
[20] Yamabe C, Buckman S J, Phelps A V 1983 Phys. Rev. A 27 1345
[21] Pitchford L C, Phelps A V 1982 Phys. Rev. A 25 540
[22] Lieberman M A, Lichtenberg A J (Translated by Pu Y K) 2007 Principles of Plasma Discharge and Materials Processing ( Beijing: Science Press) p421 ( in Chinese) [迈克尔·A 力伯曼, 阿伦·J 里登伯格著, 蒲以康译 2007 等离子体放电原理与材料处理(北京: 科学出版社)第421 页]
[23] Yue Q Y, Jin H 1988 Radiation Protection 8 401 (in Chinese) [岳清宇, 金花 1988 辐射防护 8 401]
[24] L B, Wang X X, Luo H Y, Liang Z 2009 Chin. Phys. B 18 646
[25] Brown S B 1959 Basic Data of Plasma Physics (New York: John Wiley and Sons, Inc.) pp275-301
[26] Shao X J, Ma Y, Li Y X, Zhang G J 2010 Acta Phys. Sin. 59 8747 [邵先军, 马跃, 李娅西, 张冠军 2010 物理学报 59 8747]
[27] Sima W X, Peng Q J, Yang Q, Yuan T, Shi J 2012 IEEE Trans. Dielectr. Electr. Insulat. 19 660
[28] Liu X H, He W, Yang F, Wang H Y, Liao R J, Xiao H G 2012 Chin. Phys. B 21 075201
[29] Zhuang Y, Chen G, Rotaru M 2011 J. Phys: Conference Series 310 012011
[30] Montie T C, Wintenberg K K, Roth J R 2000 IEEE Trans. Plasma Sci. 28 41
[31] Bogaerts A, Neyts E, Gijbels R, van der Mullen J 2002 Spectrochim. Acta B 57 609
[32] Bogaerts A, Gijbels R, Goedheer W J 1995 J. Appl. Phys. 78 2233
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