Modeling of magnetized collisional plasma sheath with nonextensive electron distribution and ionization source

Long CHEN; Yehui YANG; Yuhao AN; Ping DUAN; Shaojuan SUN; Zuojun CUI; Zichen KAN; Weifu GAO

doi:10.1088/2058-6272/aca502

Plasma Science and Technology > 2023 > 25(3): 035003. > DOI: 10.1088/2058-6272/aca502

Long CHEN, Yehui YANG, Yuhao AN, Ping DUAN, Shaojuan SUN, Zuojun CUI, Zichen KAN, Weifu GAO. Modeling of magnetized collisional plasma sheath with nonextensive electron distribution and ionization source[J]. Plasma Science and Technology, 2023, 25(3): 035003. DOI: 10.1088/2058-6272/aca502

Citation:

PDF (1270 KB)

Modeling of magnetized collisional plasma sheath with nonextensive electron distribution and ionization source

School of Science, Dalian Maritime University, Dalian 116026, People's Republic of China

More Information

Corresponding author:
Ping DUAN, E-mail: duanping@dlmu.edu.cn
Received Date: July 25, 2022
Revised Date: November 02, 2022
Accepted Date: November 21, 2022
Available Online: December 06, 2023
Published Date: January 18, 2023

Graphical Abstract

Abstract

Abstract

The properties of an atmospheric-pressure collisional plasma sheath with nonextensively distributed electrons and hypothetical ionization source terms are studied in this work. The Bohm criterion for the magnetized plasma is extended in the presence of an ion–neutral collisional force and ionization source. The effects of electron nonextensive distribution, ionization frequency, ion–neutral collision, magnetic field angle and ion temperature on the Bohm criterion of the plasma sheath are numerically analyzed. The fluid equations are solved numerically in the plasma–wall transition region using a modified Bohm criterion as the boundary condition. The plasma sheath properties such as charged particle density, floating sheath potential and thickness are thoroughly investigated under different kinds of ion source terms, contributions of collisions, and magnetic fields. The results show that the effect of the ion source term on the properties of atmospheric-pressure collisional plasma sheath is significant. As the ionization frequency increases, the Mach number of the Bohm criterion decreases and the range of possible values narrows. When the ion source is considered, the space charge density increases, the sheath potential drops more rapidly, and the sheath thickness becomes narrower. In addition, ion–neutral collision, magnetic field angle and ion temperature also significantly affect the sheath potential profile and sheath thickness.
- plasma sheath,
- Bohm criterion,
- nonextensivity,
- ionization source

FullText(HTML)

Acknowledgments

This work was supported by National Natural Science Foundation of China (Nos. 11975062, 11605021 and 11975088) and the China Postdoctoral Science Foundation (No. 2017M621120).

References (72)

References

[1]	Hatami M M 2021 Sci. Rep. 11 9531 doi: 10.1038/s41598-021-88894-1
[2]	Moulick R, Garg A and Kumar M 2021 Contrib. Plasma Phys. 61 e202100047 doi: 10.1002/ctpp.202100047
[3]	Chen F F 1974 Introduction to Plasma Physics (New York: Plenum Press) 290 ( https://doi.org/10.1007/978-1-4757-0459-4_1)
[4]	Shibata K et al 2001 Thin Solid Films 386 291 doi: 10.1016/S0040-6090(00)01668-0
[5]	Hatami M M 2015 Phys. Plasmas 22 023506
[6]	Aanesland A et al 2015 IEEE Trans. Plasma Sci. 43 321 doi: 10.1109/TPS.2014.2369534
[7]	Hatami M M, Shokri B and Niknam A R 2009 J. Phys. D: Appl. Phys. 42 025204 doi: 10.1088/0022-3727/42/2/025204
[8]	Li Y R et al 2010 Chin. Phys. B 19 085201 doi: 10.1088/1674-1056/19/8/085201
[9]	Zhao X Y et al 2016 Chin. Phys. B 25 025202 doi: 10.1088/1674-1056/25/2/025202
[10]	Hatami M M and Shokri B 2013 Phys. Plasmas 20 033506 doi: 10.1063/1.4795297
[11]	Guthrie A and Wakerling R K 1949 The Characteristics of Electrical Discharges in Magnetic Fields (New York: McGraw-Hill) 77
[12]	Godyak V A and Sternberg N 1990 IEEE Trans. Plasma Sci. 18 159 doi: 10.1109/27.45519
[13]	El Kaouini M et al 2011 J. Fusion Energy 30 199 doi: 10.1007/s10894-010-9358-z
[14]	Benilov M S and Franklin R N 2002 J. Plasma Phys. 67 163 doi: 10.1017/S0022377801001556
[15]	El Kaouini M and Chatei H 2012 J. Fusion Energy 31 317 doi: 10.1007/s10894-011-9486-0
[16]	Sternberg N and Godyak V 2003 IEEE Trans. Plasma Sci. 31 665 doi: 10.1109/TPS.2003.815812
[17]	Hatami M M, Shokri B and Niknam A R 2008 Phys. Plasmas 15 123501 doi: 10.1063/1.3028306
[18]	Riemann K U 1991 J. Phys. D: Appl. Phys. 24 493 doi: 10.1088/0022-3727/24/4/001
[19]	Das G C, Singha B and Chutia J 1999 Phys. Plasmas 6 3685 doi: 10.1063/1.873627
[20]	Khoramabadi M, Ghomi H and Ghorannevis M 2010 J. Fusion Energy 29 365 doi: 10.1007/s10894-010-9289-8
[21]	Liu J Y, Wang Z X and Wang X G 2003 Phys. Plasmas 10 3032 doi: 10.1063/1.1584048
[22]	Alterkop B 2004 J. Appl. Phys. 95 1650 doi: 10.1063/1.1645671
[23]	Sharma G et al 2020 Phys. Scr. 95 035605 doi: 10.1088/1402-4896/ab5548
[24]	Driouch I, Chatei H and El Bojaddaini M 2015 J. Plasma Phys. 81 905810104 doi: 10.1017/S0022377814000403
[25]	Valentini H B and Kaiser D 2014 Plasma Sources Sci. Technol. 23 015004 doi: 10.1088/0963-0252/23/1/015004
[26]	Driouch I and Chatei H 2017 Eur. Phys. J. D 71 9 doi: 10.1140/epjd/e2016-70111-0
[27]	Yasserian K, Aslaninejad M and Ghoranneviss M 2009 Phys. Plasmas 16 023504 doi: 10.1063/1.3077304
[28]	Gyergyek T and Kovačič J 2015 Phys. Plasmas 22 043502 doi: 10.1063/1.4916318
[29]	Sarma B K et al 1998 Phys. Lett. A 244 127 doi: 10.1016/S0375-9601(98)00259-X
[30]	Bailung H et al 2004 Pramana 62 1091 doi: 10.1007/BF02705255
[31]	Jin F et al 2013 High Voltage Eng. 39 1596 (in Chinese) doi: 10.3969/j.issn.1003-6520.2013.07.008
[32]	Sparavigna A and Wolf R A 2006 Czech. J. Phys. 56 B1062 doi: 10.1007/s10582-006-0327-8
[33]	Akishev Y S et al 2000 Plasma Phys. Rep. 26 157 doi: 10.1134/1.952826
[34]	Chen J H and Davidson J H 2002 Plasma Chem. Plasma Process. 22 199 doi: 10.1023/A:1014851908545
[35]	Tachibana K 1986 Phys. Rev. A 34 1007 doi: 10.1103/PhysRevA.34.1007
[36]	Phelps A V 1991 J. Phys. Chem. Ref. Data 20 557 doi: 10.1063/1.555889
[37]	Phelps A V 1994 J. Appl. Phys. 76 747 doi: 10.1063/1.357820
[38]	Adhikari S, Moulick R and Goswami K S 2017 Phys. Plasmas 24 083501 doi: 10.1063/1.4994535
[39]	Crespo R M 2018 Phys. Plasmas 25 063509 doi: 10.1063/1.5025828
[40]	Moulick R, Adhikari S and Goswami K S 2019 Phys. Plasmas 26 043512 doi: 10.1063/1.5090537
[41]	Moulick R, Adhikari S and Goswami K S 2017 Phys. Plasmas 24 114501 doi: 10.1063/1.4994261
[42]	Tsallis C, Mendes R and Plastino A R 1998 Phys. A: Stat. Mech. Appl. 261 534 doi: 10.1016/S0378-4371(98)00437-3
[43]	Cáceres M O 1999 Braz. J. Phys. 29 125 doi: 10.1590/S0103-97331999000100011
[44]	Borgohain D R and Saharia K 2018 Plasma Phys. Rep. 44 137 doi: 10.1134/S1063780X1801004X
[45]	Hatami M M and Tribeche M 2018 IEEE Trans. Plasma Sci. 46 868 doi: 10.1109/TPS.2018.2805678
[46]	Chen L et al 2021 Acta Phys. Sin. 70 245201 (in Chinese) doi: 10.7498/aps.70.20211061
[47]	Liu J M et al 1994 Phys. Rev. Lett. 72 2717 doi: 10.1103/PhysRevLett.72.2717
[48]	Gurovich V T et al 2006 Phys. Plasmas 13 073506 doi: 10.1063/1.2226982
[49]	Hori T et al 1996 Appl. Phys. Lett. 69 3683 doi: 10.1063/1.117188
[50]	Tsallis C 1988 J. Stat. Phys. 52 479 doi: 10.1007/BF01016429
[51]	El Ghani O, Driouch I and Chatei H 2019 Contrib. Plasma Phys. 59 e201900030 doi: 10.1002/ctpp.201900030
[52]	Hatami M M 2015 Phys. Plasmas 22 013508
[53]	Safa N N, Ghomi H and Niknam A R 2015 J. Plasma Phys. 81 905810303 doi: 10.1017/S0022377814000981
[54]	Liu Y, Liu S Q and Zhou L 2013 Phys. Plasmas 20 043702 doi: 10.1063/1.4798529
[55]	Du J L 2004 Phys. Lett. A 329 262 doi: 10.1016/j.physleta.2004.07.010
[56]	Borgohain D R and Saharia K 2018 Phys. Plasmas 25 032122 doi: 10.1063/1.5005582
[57]	Dhawan R, Kumar M and Malik H K 2020 Phys. Plasmas 27 063515 doi: 10.1063/5.0003242
[58]	Tsallis C and Institute S F 2009 Braz. J. Phys. 39 337 doi: 10.1590/S0103-97332009000400002
[59]	Silva R Jr, Plastino A R and Lima J A S 1998 Phys. Lett. A 249 401 doi: 10.1016/S0375-9601(98)00710-5
[60]	Sarris E T et al 1981 Geophys. Res. Lett. 8 349 doi: 10.1029/GL008i004p00349
[61]	Gosling J T et al 1981 J. Geophys. Res. Space Phys. 86 547 doi: 10.1029/JA086iA02p00547
[62]	Lima J A S, Silva R Jr and Santos J 2000 Phys. Rev. E 61 3260 doi: 10.1103/PhysRevE.61.3260
[63]	Basnet S, Patel A and Khanal R 2020 Plasma Phys. Control. Fusion 62 115011 doi: 10.1088/1361-6587/abb0f7
[64]	El Bojaddaini M and Chatei H 2020 Mater. Today Proc. 24 37 doi: 10.1016/j.matpr.2019.07.441
[65]	El Bojaddaini M and Chatei H 2020 Eur. Phys. J. Plus 135 680 doi: 10.1140/epjp/s13360-020-00699-9
[66]	Moon J D, Lee G T and Chung S H 1999 IEEE Trans. Ind. Appl. 35 1198 doi: 10.1109/28.793385
[67]	Xu D X et al 2003 J. Electrostat. 57 217 doi: 10.1016/S0304-3886(02)00161-4
[68]	Xu D X et al 2007 J. Electrostat. 65 101 doi: 10.1016/j.elstat.2006.07.007
[69]	Lowke J J and Davies D K 1977 J. Appl. Phys. 48 4991 doi: 10.1063/1.323606
[70]	Dhawan R and Malik H K 2021 Plasma Sci. Technol. 23 045402 doi: 10.1088/2058-6272/abeb03
[71]	Zou X et al 2021 Acta Phys. Sin. 70 015201 (in Chinese) doi: 10.7498/aps.70.20200794
[72]	Gougam L A and Tribeche M 2011 Phys. Plasmas 18 062102 doi: 10.1063/1.3577599

[1]	Hong ZHAO (赵红), Chengwu YI (依成武), Rongjie YI (依蓉婕), Huijuan WANG (王慧娟), Lanlan YIN (尹兰兰), I N MUHAMMAD, Zhongfei MA (马中飞). Research on the degradation mechanism of dimethyl phthalate in drinking water by strong ionization discharge[J]. Plasma Science and Technology, 2018, 20(3): 35503-035503. DOI: 10.1088/2058-6272/aa97d1
[2]	WANG Yu (王玉), SU Dandan (苏丹丹), LI Yingjun (李英骏). Hydrodynamics of Exploding Foil X-Ray Lasers with Time-Dependent Ionization Effect[J]. Plasma Science and Technology, 2016, 18(12): 1181-1185. DOI: 10.1088/1009-0630/18/12/07
[3]	HU Guanghai (胡广海), JIN Xiaoli (金晓丽), YUAN Lin (袁林), ZHANG Qiaofeng (张乔枫), XIE Jinlin (谢锦林), LI Hong (李弘), LIU Wandong (刘万东). Oxide Coated Cathode Plasma Source of Linear Magnetized Plasma Device[J]. Plasma Science and Technology, 2016, 18(9): 918-923. DOI: 10.1088/1009-0630/18/9/08
[4]	Le Chi KIEN. Analyses on the Ionization Instability of Non-Equilibrium Seeded Plasma in an MHD Generator[J]. Plasma Science and Technology, 2016, 18(6): 674-679. DOI: 10.1088/1009-0630/18/6/15
[5]	ZHANG Xiaotian (张晓天), CHEN Chilai (陈池来), LIU Youjiang (刘友江), WANG Hongwei (王泓伟), ZHANG Lehua (张乐华), KONG Deyi (孔德义), Mario CHAVARRIA. Effects of the Discharge Parameters on the Efficiency and Stability of Ambient Metastable-Induced Desorption Ionization[J]. Plasma Science and Technology, 2015, 17(12): 1048-1052. DOI: 10.1088/1009-0630/17/12/12
[6]	PANG Xuexia(庞学霞), DENG Zechao(邓泽超), JIA Pengying(贾鹏英), LIANG Weihua(梁伟华). Influence of Ionization Degrees on Conversion of CO and CO 2 in Atmospheric Plasma near the Ground[J]. Plasma Science and Technology, 2014, 16(8): 782-788. DOI: 10.1088/1009-0630/16/8/09
[7]	LIU Huiping(刘惠平), ZOU Xiu(邹秀), QIU Minghui(邱明辉). Sheath Criterion for an Electronegative Plasma Sheath in an Oblique Magnetic Field[J]. Plasma Science and Technology, 2014, 16(7): 633-636. DOI: 10.1088/1009-0630/16/7/01
[8]	WANG Zesong (王泽松), ZHANG Zaodi (张早娣), HE Jun (何俊), LEE Jae Choon (李载春), LIU Chuansheng Liu (刘传胜), WU Xianying (吴先映), FU Dejun (付德君). A Computerized System for the Measurement of Nanomaterial Field Emission and Ionization[J]. Plasma Science and Technology, 2012, 14(9): 819-823. DOI: 10.1088/1009-0630/14/9/09
[9]	PANG Xuexia(庞学霞), DENG Zechao(邓泽超), JIA Pengying(贾鹏英), LIANG Weihua(梁伟华), LI Xia(李霞). Influence of Ionization Degrees on the Evolutions of Charged Particles in Atmospheric Plasma at Low Altitude[J]. Plasma Science and Technology, 2012, 14(8): 716-722. DOI: 10.1088/1009-0630/14/8/07
[10]	XIANG Nong, HU Yemin, OU Jing. Bohm criterion for collisionless sheaths in two-ion-species plasmas[J]. Plasma Science and Technology, 2011, 13(4): 385-391.