Response of plasma turbulence against externally-controlled perturbations

doi:10.1088/1674-1056/21/9/095201

中国物理B ›› 2012, Vol. 21 ›› Issue (9): 95201-095201.doi: 10.1088/1674-1056/21/9/095201

• PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES • 上一篇下一篇

Response of plasma turbulence against externally-controlled perturbations

S. I. Itoh^{a b}, K. Itoh^{b c}

a Research Institute for Applied Mechanics, Kyushu University, Kasuga 816-8580, Japan;
b Itoh Research Center for Plasma Turbulence, Kyushu University, Kasuga 816-8580, Japan;
c National Institute for Fusion Science, Toki 509-5292, Japan

收稿日期:2012-01-12 修回日期:2012-04-09 出版日期:2012-08-01 发布日期:2012-08-01
基金资助:
Project supported by Grants-in-aid for Scientific Research of JSPF, Japan (Grant Nos. 21224014 and 23244113), the Collaboration Programs of NIFS (Grant No. NIFS10KOAP023), and the RIAM of Kyushu University and Asada Science Foundation.

Response of plasma turbulence against externally-controlled perturbations

S. I. Itoh^{a b}, K. Itoh^{b c}

a Research Institute for Applied Mechanics, Kyushu University, Kasuga 816-8580, Japan;
b Itoh Research Center for Plasma Turbulence, Kyushu University, Kasuga 816-8580, Japan;
c National Institute for Fusion Science, Toki 509-5292, Japan

Received:2012-01-12 Revised:2012-04-09 Online:2012-08-01 Published:2012-08-01
Contact: S. -I. Itoh E-mail:s-iitoh@riam.kyushu-u.ac.jp
Supported by:
Project supported by Grants-in-aid for Scientific Research of JSPF, Japan (Grant Nos. 21224014 and 23244113), the Collaboration Programs of NIFS (Grant No. NIFS10KOAP023), and the RIAM of Kyushu University and Asada Science Foundation.

摘要/Abstract

摘要： A theory of the dynamic response of the turbulent plasma against the externally-controlled perturbations is reported. Based on the Mori's method [Prog. Theor. Phys. 33 423 (1965)], the nonlinear force is assumed to be separated into the memory function and the nonlinear fluctuating force. The former corresponds to the damping term, and the latter is categorized into the noise term. The response of the turbulent plasma against the externally-controlled source is formulated. The response kernel, which connects the externally-controlled source and the response of the turbulent field, is shown to have both the nonlocal property (in space) and the non-Markovian response (in time). A discussion is made on the nonlocal and non-Markovian response, including the case of disparate-scale interactions. A new method is proposed to observe experimentally the nonlocal interaction in the drift wave turbulence via the zonal flows.

关键词: turbulent transport, nonlocal and non-Markovian response

Abstract: A theory of the dynamic response of the turbulent plasma against the externally-controlled perturbations is reported. Based on the Mori's method [Prog. Theor. Phys. 33 423 (1965)], the nonlinear force is assumed to be separated into the memory function and the nonlinear fluctuating force. The former corresponds to the damping term, and the latter is categorized into the noise term. The response of the turbulent plasma against the externally-controlled source is formulated. The response kernel, which connects the externally-controlled source and the response of the turbulent field, is shown to have both the nonlocal property (in space) and the non-Markovian response (in time). A discussion is made on the nonlocal and non-Markovian response, including the case of disparate-scale interactions. A new method is proposed to observe experimentally the nonlocal interaction in the drift wave turbulence via the zonal flows.

Key words: turbulent transport, nonlocal and non-Markovian response

中图分类号: (Plasma turbulence)

52.35.Ra

52.35.Mw (Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.)) 52.35.Kt (Drift waves)

S. I. Itoh, K. Itoh. Response of plasma turbulence against externally-controlled perturbations[J]. 中国物理B, 2012, 21(9): 95201-095201.

S. I. Itoh, K. Itoh. Response of plasma turbulence against externally-controlled perturbations[J]. Chin. Phys. B, 2012, 21(9): 95201-095201.

参考文献 55

[1]	Itoh K, Itoh S I and Fukuyama A 1999 Transport and Structural Formation in Plasmas (Bristol: Institute of Physics Publishing)
[2]	Diamond P H, Itoh S I and Itoh K 2010 Physical Kinetics of Turbulent Plasmas (Cambridge: Cambridge University Press)
[3]	Balescu R 2000 Plasma Phys. Control. Fusion 42 B1
[4]	Zaslavsky G 2005 Hamiltonian Chaos and Fractional Dynamics (Oxford: Oxford University Press)
[5]	Diamond P H, Itoh S I, Itoh K and Hahm T S 2005 Plasma Phys. Control. Fusion 47 R35
[6]	Itoh S I 2010 J. Plasma Fusion Res. 86 334
[7]	Itoh K 2010 Nucl. Fusion 50 054001
[8]	Fujisawa A, Itoh K, Iguchi H, Matsuoka K, Okamura S, Shimizu A, Minami T, Yoshimura Y, Nagaoka K, Takahashi C, Kojima M, Nakano H, Ohsima S, Nishimura S, Isobe M, Suzuki C, Akiyama T, Ida K, Toi K, Itoh S I and Diamond P H 2004 Phys. Rev. Lett. 93 165002
[9]	Nagashima Y, Itoh K, Itoh S I, Fujisawa A, Yagi M, Hoshino K, Shinohara K, Ejiri A, Takase Y, Ido T, Uehara K, Miura Y and the JFT-2M group 2007 Plasma Phys. Control. Fusion 49 1611
[10]	Conway G and ASDEX-Upgrade Team 2008 Plasma Phys. Control. Fusion 50 085005
[11]	Fujisawa A, Itoh K, Shimizu A, Nakano H, Ohshima S, Iguchi H, Matsuoka K, Okamura S, Minami T, Yoshimura Y, Nagaoka K, Ida K, Toi K, Takahashi C, Kojima M, Nishimura S, Isobe M, Suzuki C, Akiyama T, Nagashima Y, Itoh S I and Diamond P H 2007 Phys. Rev. Lett. 98 165001
[12]	Yamada T, Itoh S I, Maruta T, Kasuya N, Nagashima Y, Shinohara S, Terasaka K, Yagi M, Inagaki S, Kawai Y, Fujisawa A and Itoh K 2008 Nature Phys. 4 721
[13]	Fujisawa A 2009 Nucl. Fusion 49 013001
[14]	Tynan G R, Fujisawa A and McKee G 2009 Plasma Phys. Control. Fusion 51 113001
[15]	Zhao K J, Lan T, Dong J Q, Yan L W, Hong W Y, Yu C X, Liu A D, Qian J, Cheng J, Yu D L, Yang Q W, Ding X T, Liu Y and Pan C H 2006 Phys. Rev. Lett. 96 255004
[16]	Yan L W, Cheng J, Hong W Y, Zhao K J, Lan T, Dong J Q, Liu A D, Yu C X, Yu D L, Qian J, Huang Y, Yang Q W, Ding X T, Liu Y and Pan C H 2007 Nucl. Fusion 47 1673
[17]	Liu A D, Lan T, Yu C X, Zhao H L, Yan L W, Hong W Y, Dong J Q, Zhao K J, Quian J, Cheng J, Duan X R and Liu Y 2009 Phys. Rev. Lett. 103 095002
[18]	Cheng J, Yan L W, Hong W Y, Zhao K J, Lan T, Qian J, Liu A D, Zhao H L, Liu Yi, Yang Q W, Dong J Q, Duan X R and Liu Y 2010 Plasma Phys. Control. Fusion 52 055003
[19]	See also cluster papers in 2006 Plasma Phys. Control. Fusion 48 No.4 S1-S212
[20]	Itoh S I and Itoh K 2001 Plasma Phys. Control. Fusion 43 1055
[21]	Diamond P H and Hahm T S 1995 Phys. Plasmas 2 3640
[22]	Garbet X and Waltz R 1998 Phys. Plasmas 5 2836
[23]	Iwasaki T, Toda S, Itoh S I, Yagi M and Itoh K 1999 Nucl. Fusion 39 2127
[24]	Carreras B A, Lynch V E and Zaslavsky G M 2001 Phys. Plasmas 8 5096
[25]	Callen J D and Jahns G L 1976 Phys. Rev. Lett. 38 491
[26]	Gentle K W, Bravenec R V, Cima G, Gasquet H, Hallock G A, Phillips P E, Ross D W, Rowan W L, Wootton A J, Crowley T P, Heard J, Ouroua A, Schoch P M and Watts C 1995 Phys. Plasmas 2 2292
[27]	Stroth U, Giannone L, Hartfuss H J, the ECH Group and the W7-AS Team 1996 Plasma Phys. Control. Fusion 38 611
[28]	Inagaki S, Takenaga H, Ida K, Isayama A, Tamura N, Takizuka T, Shimozuma T, Kamada Y, Kubo S, Miura Y, Nagayama Y, Kawahata K, Sudo S, Ohkubo K, LHD experimental group and the JT-60 Team 2006 Nucl. Fusion 46 133
[29]	Inagaki S, Tokuzawa T, Itoh K, Ida K, Itoh S I, Tamura N, Sakakibara S, Kasuya N, Fujisawa A, Kubo S, Shimozuma T, Ido T, Nishimura S, Arakawa H, Kobayashi T, Tanaka K, Nagayama Y, Kawahata K, Sudo S, Yamada H, Komori A and LHD experiment group 2011 Phys. Rev. Lett. 107 115001
[30]	Kubo R, Toda M and Hashitsume N 1985 Statistical Physics II (Berlin: Springer)
[31]	Gravier E, Caron X, Bonhomme G and Pierre T 1999 Phys. Plasmas 6 1670
[32]	Block D, Piel A, Schröder Ph and Klinger T 2001 Phys. Rev. E 63 056401
[33]	Klinger T, Schröder Ch, Block D, Greiner F, Piel A, Bonhomme G and Naulin V 2001 Phys. Plasmas 8 1961
[34]	Grulke O, Windisch T, Brandt C, Ullrich S and Klinger T 2010 Plasma Fusion Res. 5 013
[35]	Inagaki S, Arakawa H, Oldenbürger S, Nagashima Y, Yamada T, Yagi M, Kasuya N, Sasaki M, Fujisawa A, Itoh S I and Itoh K 2011 66th Annual Meeting of the Physical Society of Japan, canceled Niigata, Japan, 25pGZ-4
[36]	Garbet X, Sarazin Y, Imbeaux F, Ghendrih Ph, Bourdelle C, Gürcan O D and Diamond P H 2007 Phys. Plasmas 14 122305
[37]	Mori H 1965 Prog. Theor. Phys. 33 423
[38]	Itoh S I, Itoh K and Mori H 2006 J. Phys. Soc. Jpn. 75 034501
[39]	Itoh K, Itoh S I, Yagi M and Fukuyama A 2009 J. Plasma Fusion Res. Series 8 119
[40]	Itoh K, Itoh S I, Diamond P H, Fujisawa A, Yagi M, Watari T, Nagashima Y and Fukuyama A 2006 Plasma Fusion Res. 1 037
[41]	Gao Z, Itoh K, Sanuki H and Dong J Q 2008 Phys. Plasmas 15 072511
[42]	Itoh S I and Itoh K 2000 J. Phys. Soc. Jpn. 69 427
[43]	Yoshizawa A, Itoh S I and Itoh K 2002 Plasma and Fluid Turbulence - Theory and Modelling (Bristol: Institute of Physics Publishing)
[44]	Balescu R 2005 Aspects of Anomalous Transport in Plasmas (Bristol: Institute of Physics Publishing)
[45]	Itoh S I and Itoh K 1999 J. Phys. Soc. Jpn. 68 2611
[46]	Diamond P H, Rosenbluth M N, Hinton F L, Malkov M, Fleisher J and Smolyakov A 1998 Proceedings of the 17th International Atomic Energy Agency Fusion Energy Conference, October 19-24, 1998 Yokohama, Japan, IAEA-CN-69/TH3/1
[47]	Krommes J A and Kim C B 2000 Phys. Rev. E 62 8508
[48]	Nagashima Y, Itoh S I, Shinohara S, Fukao M, Fujisawa A, Terasaka K, Kawai Y, Tynan G R, Diamond P H, Yagi M, Inagaki S, Yamada T and Itoh K 2009 Phys. Plasmas 16 020706
[49]	Connor J W, Taylor J B and Wilson H R 1993 Phys. Rev. Lett. 70 1803
[50]	Itoh S I and Itoh K 2011 Plasma Phys. Control Fusion 53 015008
[51]	Inagaki S, Nagashima Y, Oldenbürger S, Kobayashi T, Ohyama N, Kawashima K, Tobimatsu Y, Yamashita T, Yamada S, Kasuya N, Sasaki M, Yamada T, Arakawa H, Yagi M, Fujisawa A, Itoh S I and Itoh K 2012 67th Annual Meeting of the Physical Society of Japan, March 24-27, 2012 Nishinomiya, Japan, 25aYE-1
[52]	Itoh K, Itoh S I, Yagi M and Fukuyama A 1998 Phys. Plasmas 5 4121
[53]	Taylor R J, Brown M L, Fried B D, Brote H, Liberati J R, Morales G J, Pribyl P, Darrow D and Ono M 1989 Phys. Rev. Lett. 63 2365
[54]	Weynants R R, Oost G van, Bertschinger G, Boedo J, Brys P, Delvigne T, Dippel K H, Durodie F, Euringer H, Finken K H, Gray D S, Hey J D, Hillis D L, Hogan J T, Konen L, Leners R, Messiaen A M, Pospieszczyck A, Samm U, Schorn R P, Schweer B, Telesca G, van Nieuwenhove R and Vandenplas P E 1992 Nucl. Fusion 32 837
[55]	Bowman J C, Krommes J A and Ottaviani M 1993 Phys. Fluids B 5 3558

Response of plasma turbulence against externally-controlled perturbations

Response of plasma turbulence against externally-controlled perturbations

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 55

相关文章 14

Metrics

本文评价

推荐阅读 0

[1]	Yong Shen(沈勇), Yu-Hang Shen(沈煜航), Jia-Qi Dong(董家齐), Kai-Jun Zhao(赵开君), Zhong-Bing Shi(石中兵), and Ji-Quan Li(李继全). A nonlinear wave coupling algorithm and its programing and application in plasma turbulences[J]. 中国物理B, 2022, 31(6): 65206-065206.
[2]	Hui Li(李慧), Jiquan Li(李继全), Zhengxiong Wang(王正汹), Lai Wei(魏来), and Zhaoqing Hu(胡朝清). Role of the zonal flow in multi-scale multi-mode turbulence with small-scale shear flow in tokamak plasmas[J]. 中国物理B, 2022, 31(6): 65207-065207.
[3]	Zong Xu(许棕), Zhen-Wei Wu(吴振伟), Ling Zhang(张凌), Yue-Heng Huang(黄跃恒), Wei Gao(高伟), Yun-Xin Cheng(程云鑫), Xiao-Dong Lin(林晓东), Xiang Gao(高翔), Ying-Jie Chen(陈颖杰), Lei Li(黎嫘), Yin-Xian Jie(揭银先), Qing Zang(臧庆), Hai-Qing Liu(刘海庆), and EAST team. Reduction of impurity confinement time by combined heating of LHW and ECRH in EAST[J]. 中国物理B, 2021, 30(7): 75205-075205.
[4]	Bing-Liang Tang(唐冰亮), Shan-Guang Guo(郭善广), Hua Liang(梁华), Meng-Xiao Tang(唐孟潇). [J]. 中国物理B, 2020, 29(10): 105204-.
[5]	Zahra Asadi, Mehdi Sharifian, Mojtaba Hashemzadeh, Mahmood Borhani Zarandi, Hamidreza Ghomi Marzdashti. The E×B drift instability in Hall thruster using 1D PIC/MCC simulation[J]. 中国物理B, 2020, 29(2): 25204-025204.
[6]	余羿, 兰涛, 许敏, 闻一之. Investigation on the drives of the poloidal flow in the ohmic and biased electrode experiments[J]. 中国物理B, 2019, 28(3): 35202-035202.
[7]	曹丹丹, 弯峰, 侯雅娟, 桑海波, 谢柏松. Reversed rotation of limit cycle oscillation and dynamics of low-intermediate-high confinement transition[J]. 中国物理B, 2018, 27(6): 65201-065201.
[8]	郑永真, 丁玄同, 郦文忠. Runaway electrons as a diagnostic of plasma internal magnetic fluctuations[J]. 中国物理B, 2006, 15(5): 1035-1040.
[9]	洪文玉, 严龙文, 钱俊, 潘宇东, 王恩耀, 罗翠文, 徐征宇, 潘莉, 李强, 袁保山, 刘莉, 丁玄同. Analyses of edge plasma characteristics in HL-2A[J]. 中国物理B, 2006, 15(3): 556-561.
[10]	宋梅, 万宝年, 徐国盛. Measurements of Reynolds stress and turbulence in the boundary plasma of the HT-7 tokamak[J]. 中国物理B, 2004, 13(3): 369-372.
[11]	简广德, 董家齐. Study of electron temperature gradient instability in toroidal plasmas with negative magnetic shear[J]. 中国物理B, 2004, 13(6): 898-904.
[12]	王文浩, 何也熙, 高喆, 曾立, 张国平, 解丽凤, 冯春华. Observation of intermittency in edge plasma of SUNIST tokamak[J]. 中国物理B, 2004, 13(12): 2091-2096.
[13]	徐伟, 万宝年, 周倩, 吴振伟, 毛剑珊, 李建刚. Study of particle behaviour at the edge in HT-7 tokamak[J]. 中国物理B, 2004, 13(9): 1510-1515.
[14]	袁鹰, 高庆第, 邱孝明, 牟宗泽. EFFECTS OF BOOTSTRAP CURRENT ON ENERGY CONFINEMENT OF TOKAMAK PLASMAS[J]. 中国物理B, 1993, 2(10): 721-730.