托卡马克等离子体环向转动对测地声模的影响

doi:10.16568/j.0254-6086.201701002

核聚变与等离子体物理 ›› 2017, Vol. 37 ›› Issue (1): 8-13.DOI: 10.16568/j.0254-6086.201701002

托卡马克等离子体环向转动对测地声模的影响

谢宝艺1，余俊1，龚学余1, 2，陈铀1，余江妹1

(1. 南华大学数理学院，衡阳 421001；2. 南华大学核科学技术学院，衡阳 421001)

收稿日期:2016-01-18 修回日期:2016-11-22 出版日期:2017-03-15 发布日期:2017-03-15
作者简介:谢宝艺(1990-)，男，衡阳人，硕士研究生，从事核聚变与等离子体物理研究。
基金资助:
国家自然科学基金(11375085，11475083，41104094，11405082)；国家磁约束核聚变能发展研究专项(2014GB108002，2013GB107001)；湖南省教育厅项目(14C0965)；湖南省研究生科研创新项目(2015scx01)

Effects of toroidal rotation on geodesic acoustic mode on tokamak plasmas

XIE Bao-yi1, YU Jun1, GONG Xue-yu1, 2, CHEN You1, YU Jiang-mei1

(1. School of Mathematics and Physics, University of South China, Hengyang 421001; 2. School of Nuclear Science and Technology, University of South China, Hengyang 421001)

Received:2016-01-18 Revised:2016-11-22 Online:2017-03-15 Published:2017-03-15

摘要/Abstract

摘要：

采用回旋动理学方程推导得到了环向转动托卡马克等离子体中测地声模的色散关系，分析了环向转动对测地声模、低频模和声波分支的频率以及无碰撞阻尼率的影响。结果表明，测地声模的频率会随着环向转动马赫数而逐渐增大，而其无碰撞阻尼率则会随着环向转动马赫数而迅速减小。此外，低频模和声波分支的频率以及无碰撞阻尼率都会随着环向转动马赫数而逐渐减小，其中环向转动对声波分支的频率以及无碰撞阻尼率的影响非常小，基本上可以忽略。

关键词: 环向转动, 测地声模, 低频模, 声波分支, 无碰撞阻尼

Abstract:

With the dispersion relation derived from the gyrokinetic equation with the plasma equilibrium toroidal rotation, the frequencies and damping rates of the geodesic acoustic modes, low frequency modes and sound wave branch are investigated, respectively. The results show that the frequency of the geodesic acoustic mode could increase with the toroidal rotation Mach number, while the collisionless damping rate will decrease with the toroidal rotation Mach number rapidly. In addition, the frequencies and damping rates of the low frequency modes and sound wave branches will decrease with the toroidal rotation Mach number, and the influence of the toroidal rotation on the sound wave branches frequencies and damping rates are very small and can be neglected.

Key words: Toroidal rotation, Geodesic acoustic modes, Low frequency modes, Sound wave branches, Collisionless damping

中图分类号:

TL61+2

谢宝艺1，余俊1，龚学余1, 2，陈铀1，余江妹1. 托卡马克等离子体环向转动对测地声模的影响[J]. 核聚变与等离子体物理, 2017, 37(1): 8-13.

XIE Bao-yi1, YU Jun1, GONG Xue-yu1, 2, CHEN You1, YU Jiang-mei1. Effects of toroidal rotation on geodesic acoustic mode on tokamak plasmas[J]. NUCLEAR FUSION AND PLASMA PHYSICS, 2017, 37(1): 8-13.

参考文献

[1] Diamond P H, Itoh S I, Itoh K, et al. Zonal flows in plasma—a review[J]. Plasma Phys. Contr. Fusion, 2005, 47(5): R35-R161(127).

[2] Terry P W. Suppression of turbulence and transport by sheared flow[J]. Review of Modern Physics, 2000, 72(1): 109-165.

[3] Lin Z, Hahm T S, Lee W W, et al. Turbulent transport reduction by zonal flows: Massively parallel simulations[J]. Science, 1998, 281(5384): 1835-1837.

[4] Winsor N, Johnson J L, Dawson J M. Geodesic acoustic waves in hydromagnetic systems[J]. Physics of Fluids, 1968, 11(11): 2448-2450.

[5] Conway G D, Scott B, Schirmer J, et al. Direct measurement of zonal flows and geodesic acoustic mode oscillations in ASDEX Upgrade using Doppler reflectometry[J]. Plasma Phys. Contr. Fusion, 2005, 47(8): 1165-1185.

[6] Zhao K J, Lan T, Dong J Q, et al. Toroidal symmetry of the geodesic acoustic mode zonal flow in a tokamak plasma[J]. Phys. Rev. Lett., 2006, 96.

[7] Hamada Y, Nishizawa A, Ido T, et al. Zonal flows in the geodesic acoustic mode frequency range in the JIPP T-IIU tokamak plasmas[J]. Nucl. Fusion, 2005, 45(2): 81-88.

[8] Gao Z, Itoh K, Sanuki H, et al. Multiple eigenmodes of geodesic acoustic mode in collisionless plasmas[J]. Physics of Plasmas, 2006, 13(10): 100702.

[9] Gao Z, Itoh K, Sanuki H, et al. Eigenmode analysis of geodesic acoustic modes[J]. Physics of Plasmas, 2008, 15(7): 072511.

[10] Qiu Z, Chen L, Zonca F. Brief communications: collisionless damping of short wavelength geodesic acoustic modes[J]. Plasma Phys. Contr. Fusion, 2009, 51(1): 309-318.

[11] Wang S. Zonal flows in tokamak plasmas with toroidal rotation[J]. Phys. Rev. Lett., 2006, 97(8): 245-249.

[12] Wahlberg C. Geodesic acoustic mode induced by toroidal rotation in tokamaks[J]. Phys. Rev. Lett., 2008, 101(11): 6037-6040.

[13] Lakhin V P, Ilgisonis V I, Smolyakov A I. Geodesic acoustic modes and zonal flows in toroidally rotating tokamak plasmas[J]. Phys. Lett. A, 2010, 374(48): 4872-4875.

[14] Ilgisonis V I, Lakhin V P, Smolyakov A I, et al. Geodesic acoustic modes and zonal flows in rotating large-aspect ratio tokamak plasmas[J]. Plasma Phys. Contr. Fusion, 2011, 53(6): 65008-65026(19).

[15] Ren H. Effect of toroidal rotation on the geodesic acoustic mode in magnetohydrodynamics[J]. Physics of Plasmas, 2012, 19(9): 345-352.

[16]Guo W, Ye L, Zhou D, et al. Kinetic effect of toroidal rotation on the geodesic acoustic mode[J]. Physics of Plasmas, 2015, 22(1): 2448.

[17]Ren H, Cao J. Landau damping of geodesic acoustic mode in toroidally rotating tokamaks[J]. Physics of Plasmas, 2015, 22(6): S264.

[18] Hinton F L, Wong S K. Neoclassical ion transport in rotating axisymmetric plasmas[J]. Phys. Fluids, 1985, 28(10): 3082-3098.

[19] Artun M, Tang W M. Nonlinear electromagnetic gyrokinetic equations for rotating axisymmetric plasmas[J]. Physics of Plasmas, 1994, 1(8): 2682-2692.

[20] Wang L, Dong J Q, Shen Y, et al. Effects of electron dynamics on kinetic geodesic acoustic mode in tokamak plasmas[J]. Plasma Phys. Contr. Fusion, 2011, 53(9): 2357-2495.

[21] Baoyi Xie, Jun Yu, Xueyu Gong, et al. Collisional damping of the geodesic acoustic mode with toroidal rotation. II. gyrokinetic formulation[J]. Physics of Plasmas, 2016, 23(3): 2448.

[22] Zhou D. Geodesic acoustic modes in tokamak plasmas with a radial equilibrium electric field[J]. Physics of Plasmas, 2015, 22(9): R35.

托卡马克等离子体环向转动对测地声模的影响

Effects of toroidal rotation on geodesic acoustic mode on tokamak plasmas

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 3

编辑推荐

Metrics

[1]	谢宝艺1，余俊1，龚学余1, 2，陈铀1，余江妹1. 托卡马克等熵平衡条件下等离子体环向转动对带状流的影响[J]. 核聚变与等离子体物理, 2016, 36(3): 208-212.
[2]	章扬忠. 测地声模的径向随机定域化[J]. 核聚变与等离子体物理, 2013, 33(2): 97-101.
[3]	章扬忠1，谢涛2. 测地声模的径向“蝌蚪”定域化结构[J]. 核聚变与等离子体物理, 2013, 33(1): 1-6.