Self-consistent kinetic theory with nonlinear wave-particle resonances

Liu CHEN; Fulvio ZONCA

doi:10.1088/2058-6272/ab3dce

Plasma Science and Technology > 2019 > 21(12): 125101. > DOI: 10.1088/2058-6272/ab3dce

Liu CHEN, Fulvio ZONCA. Self-consistent kinetic theory with nonlinear wave-particle resonances[J]. Plasma Science and Technology, 2019, 21(12): 125101. DOI: 10.1088/2058-6272/ab3dce

Citation:

Liu CHEN, Fulvio ZONCA. Self-consistent kinetic theory with nonlinear wave-particle resonances[J]. Plasma Science and Technology, 2019, 21(12): 125101. DOI: 10.1088/2058-6272/ab3dce

Citation:

Liu CHEN, Fulvio ZONCA. Self-consistent kinetic theory with nonlinear wave-particle resonances[J]. Plasma Science and Technology, 2019, 21(12): 125101. DOI: 10.1088/2058-6272/ab3dce

PDF (328 KB)

Self-consistent kinetic theory with nonlinear wave-particle resonances

Liu CHEN^1,2,
Fulvio ZONCA^1,3

¹ Institute for Fusion Theory and Simulation and Department of Physics, Zhejiang University, Hangzhou 310027, People's Republic of China
² Department of Physics and Astronomy, University of California, Irvine, CA 92697-4575, United States of America
³ ENEA, C. R. Frascati, Via E. Fermi 45, I-00044 Frascati (Rome), Italy

Funds: This work is supported by the ITER-CN under Grant No. 2017YFE0301900. This work was also carried out within the framework of the EUROfusion Consortium and received funding from the Euratom research and training programme 2014-2018 and 2019-2020 under Grant Agreement No. 633053 (Project No. WP19-ER/ENEA-05).

More Information

Received Date: July 02, 2019
Revised Date: August 17, 2019
Accepted Date: August 21, 2019

Graphical Abstract

Abstract

Abstract

We have developed, based on the oscillating-center transformation, a general theoretical approach for self-consistent plasma dynamics including, explicitly, effects of nonlinear (higherorder) wave-particle resonances. A specific example is then given for low-frequency responses of trapped particles in axisymmetric tokamaks. Possible applications to transport as well as nonlinear wave growth/damping are also briefly discussed.

FullText(HTML)

References (22)

References

[1]	White R B et al 1983 Phys. Fluids 26 2958
[2]	Chen L, White R B and Rosenbluth M N 1984 Phys. Rev. Lett.52 1122
[3]	Chen L 1999 J. Geophys. Res. 104 2421
[4]	White R B et al 2010 Phys. Plasmas 17 056107
[5]	White R B et al 2010 Plasma Phys. Control. Fusion 52 045012
[6]	Zonca F et al 2015 New J. Phys. 17 013052
[7]	Chen L and Zonca F 2016 Rev. Mod. Phys. 88 015008
[8]	Lewak G J and Chen C S 1969 J. Plasma Phys. 3 481
[9]	Peverly P J et al 2000 Laser Phys. 10 303
[10]	Chen L, Lin Z and White R 2001 Phys. Plasmas 8 4713
[11]	White R, Chen L and Lin Z 2002 Phys. Plasmas 9 1890
[12]	Kramer G J et al 2012 Phys. Rev. Lett. 109 035003
[13]	Sanchis L et al 2019 Plasma Phys. Control. Fusion 61 014038
[14]	Garcia-Munoz M et al 2019 Plasma Phys. Control. Fusion 61 054007
[15]	Lichtenberg A J and Lieberman M A 1983 Regular and Stochastic Motion (Berlin: Springer)
[16]	Lichtenberg A J and Lieberman M A 2010 Regular and Chaotic Dynamics 2nd edn (Berlin: Springer)
[17]	Frieman E A and Chen L 1982 Phys. Fluids 25 502
[18]	Brizard A J and Hahm T S 2007 Rev. Mod. Phys. 79 421
[19]	Chen L et al 2001 Nucl. Fusion 41 747
[20]	Zonca F and Chen L 2014 Phys. Plasmas 21 072120
[21]	Zonca F and Chen L 2014 Phys. Plasmas 21 072121
[22]	Chirikov B V 1979 Phys. Rep. 52 263

[1]	Qianghua YUAN (袁强华), Pei REN (任佩), Yongjie ZHOU (周永杰), Guiqin YIN (殷桂琴), Chenzhong DONG (董晨钟). OES diagnostic of radicals in 33 MHz radio-frequency Ar/C₂H₅OH atmospheric pressure plasma jet[J]. Plasma Science and Technology, 2019, 21(2): 25402-025402. DOI: 10.1088/2058-6272/aaebd1
[2]	Yong WANG (王勇), Cong LI (李聪), Jielin SHI (石劼霖), Xingwei WU (吴兴伟), Hongbin DING (丁洪斌). Measurement of electron density and electron temperature of a cascaded arc plasma using laser Thomson scattering compared to an optical emission spectroscopic approach[J]. Plasma Science and Technology, 2017, 19(11): 115403. DOI: 10.1088/2058-6272/aa861d
[3]	Arnab SARKAR, Manjeet SINGH. Laser-induced plasma electron number density: Stark broadening method versus the Saha–Boltzmann equation[J]. Plasma Science and Technology, 2017, 19(2): 25403-025403. DOI: 10.1088/2058-6272/19/2/025403
[4]	WAN Gang (弯港), JIN Yong (金涌), LI Haiyuan (李海元), LI Baoming (栗保明). Study on Free Surface and Channel Flow Induced by Low-Temperature Plasma via Lattice Boltzmann Method[J]. Plasma Science and Technology, 2016, 18(3): 331-336. DOI: 10.1088/1009-0630/18/3/19
[5]	SUN Hao (孙昊), WU Yi (吴翊), RONG Mingzhe (荣命哲), GUO Anxiang (郭安祥), HAN Guiquan (韩桂全), LU Yanhui (卢彦辉). Investigation on the Dielectric Properties of CO₂ and CO₂-Based Gases Based on the Boltzmann Equation Analysis[J]. Plasma Science and Technology, 2016, 18(3): 217-222. DOI: 10.1088/1009-0630/18/3/01
[6]	WEI Linsheng(魏林生), XU Min(徐敏), YUAN Dingkun(袁定琨), ZHANG Yafang(章亚芳), HU Zhaoji(胡兆吉), TAN Zhihong(谭志洪). Electron Transport Coefficients and Effective Ionization Coefficients in SF₆ -O₂ and SF₆ -Air Mixtures Using Boltzmann Analysis[J]. Plasma Science and Technology, 2014, 16(10): 941-947. DOI: 10.1088/1009-0630/16/10/07
[7]	A. N. KLEIN, R. P. CARDOSO, H. C. PAVANATI, C. BINDER, A. M. MALISKA, G. HAMMES, D. FUS~AO, A. SEEBER, et al. DC Plasma Technology Applied to Powder Metallurgy: an Overview[J]. Plasma Science and Technology, 2013, 15(1): 70-81. DOI: 10.1088/1009-0630/15/1/12
[8]	M. M. MORSHED, S. M. DANIELS. Electron Density and Optical Emission Measurements of SF6/O2 Plasmas for Silicon Etch Processes[J]. Plasma Science and Technology, 2012, 14(4): 316-320. DOI: 10.1088/1009-0630/14/4/09
[9]	YU Hong(于红), YU Shenjing(于沈晶), REN Chunsheng(任春生), XIU Zhilong(修志龙). Plasma-Induced Degradation of Polypropene Plastics in Natural Volatile Constituents of Ledum palustre Herb[J]. Plasma Science and Technology, 2012, 14(2): 157-161. DOI: 10.1088/1009-0630/14/2/14
[10]	HUANG Zhijun(黄志军), WU Qingyou (吴青友), LI Xiang (李祥), SHANG Shuyong (尚书勇), DAI Xiaoyan (戴晓雁), YIN Yongxiang (印永祥). Synthesis and Characterization of Nano-sized Boron Powder Prepared by Plasma Torch[J]. Plasma Science and Technology, 2010, 12(5): 577-580.

Cited By

Cited by

Periodical cited type(2)

1.	Wei, Y., Chen, S., Wang, Y. et al. Research progress on refractory metal and metallic carbide/oxide powder preparation techniques \| [难熔金属及金属碳 /氧化物粉体制备技术研究进展]. Hangkong Xuebao/Acta Aeronautica et Astronautica Sinica, 2024, 45(3): 028719. DOI:10.7527/S1000-6893.2023.28719
2.	Zhu, H.-L., Li, X.-Y., Tong, H.-H. Three-dimensional numerical simulation of physical field distribution of radio frequency thermal plasma \| [三维数值模拟射频热等离子体的物理场分布]. Wuli Xuebao/Acta Physica Sinica, 2021, 70(15): 155202. DOI:10.7498/aps.70.20202135

Other cited types(0)

Get Citation

PDF

XML

Article views (232) PDF downloads (295) Cited by(2)

Turn off MathJax

Article Contents

Abstract

References

Self-consistent kinetic theory with nonlinear wave-particle resonances