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

doi:10.16568/j.0254-6086.201603004

核聚变与等离子体物理 ›› 2016, Vol. 36 ›› Issue (3): 208-212.DOI: 10.16568/j.0254-6086.201603004

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

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:2015-05-28 修回日期:2016-05-10 出版日期:2016-09-15 发布日期:2016-09-14
作者简介:谢宝艺(1990-)，男，湖南衡阳人，硕士研究生，研究方向：核聚变与等离子体物理。
基金资助:
国家自然科学基金(11375085，11475083，41104094，11405082)；南华大学核聚变与等离子体物理创新团队资助项目(NHXTD03)

Effects of toroidal rotation on the zonal flows at isentropic equilibrium in 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:2015-05-28 Revised:2016-05-10 Online:2016-09-15 Published:2016-09-14

摘要/Abstract

摘要：

采用流体模型理论推导了等熵平衡条件下环向转动托卡马克等离子体中带状流的色散关系。从理论上分析了环向转动对测地声模、低频带状流和声波的频率、压力和密度扰动量的影响。结果表明，环向转动对低频带状流的频率没有影响，但会使测地声模的频率逐渐增大。此外，存在环向转动时，低频带状流会具有驻波形式的压力和密度扰动量，且测地声模和声波可以沿着极向传播。而且还发现，等熵平衡可以看成是等温平衡的一种特殊情况。

关键词: 环向转动, 等熵平衡, 测地声模, 低频带状流, 声波

Abstract:

The dispersion relation of the zonal flows in the tokamak plasma with toroidal rotation is derived by using the fluid model under the condition of isentropic equilibrium. The effect of toroidal rotation on the frequencies, pressure and density perturbations of the geodesic acoustic modes, low frequency zonal flows and sound wave modes are theoretically investigated, respectively. The results show that the toroidal rotation has no effect on the frequency of low frequency zonal flows, but can increase the frequency of geodesic acoustic modes gradually. In addition, it is found that the low frequency zonal flows possess the pressure and density disturbance in the form of a standing wave, and the geodesic acoustic modes and sound wave modes can propagate in the poloidal direction in the presence of toroidal rotation. And it is also found that the isentropic equilibrium can be considered as a special case of isothermal equilibrium.

Key words: Toroidal rotation, Isentropic equilibrium, Geodesic acoustic modes, Low frequency zonal flows, Sound modes

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.

XIE Bao-yi1, YU Jun1, GONG Xue-yu1, 2, CHEN You1, YU Jiang-mei1. Effects of toroidal rotation on the zonal flows at isentropic equilibrium in tokamak plasmas[J]. NUCLEAR FUSION AND PLASMA PHYSICS, 2016, 36(3): 208-212.

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.
[2] Terry P W. Suppression of turbulence and transport by sheared flow[J]. Reviews of Modern Physics, 2000,72(1): 109.
[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] Hinton F L, Rosenbluth M N. Dynamics of axisymmetric and poloidal flows in tokamaks[J]. Plasma Phys. Contr.Fusion, 1999, 41(3A): A653.
[5] Winsor N, Johnson J L, Dawson J M. Geodesic acoustic waves in hydromagnetic systems[J]. Physics of Fluids(1958−1988), 1968, 11(11): 2448−2450.
[6] 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.
[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.
[8] Lan T, Liu A D, Yu C X, et al. Spectral features of the geodesic acoustic mode and its interaction with turbulence in a tokamak plasma[J]. Physics of Plasmas,2008, 15(5): 056105.
[9] Silva C, Duarte P, Fernandes H, et al. Characterization of geodesic acoustic modes in the ISTTOK edge plasma[J].Plasma Phys. Contr. Fusion, 2009, 51(8): 085009.
[10] Chakrabarti N, Singh R, Kaw P K, et al. Nonlinear excitation of geodesic acoustic modes by drift waves[J].Physics of Plasmas, 2007, 14(5): 052308.
[11] Gao Z, Itoh K, Sanuki H, et al. Eigenmode analysis of geodesic acoustic modes[J]. Physics of Plasmas, 2008,15(7): 072511.
[12] Chakrabarti N, Guzdar P N, Kleva R G, et al. Geodesic acoustic modes excited by finite beta drift waves[J].Physics of Plasmas, 2008, 15(11): 112310.
[13] Qiu Z, Chen L, Zonca F. Collisionless damping of short wavelength geodesic acoustic modes[J]. Plasma Phys.Contr. Fusion, 2009, 51(1): 012001.
[14] Wang S. Zonal flows in tokamak plasmas with toroidal rotation[J]. Phys. Rev. Lett., 2006, 97(8): 085002.
[15] Wahlberg C. Geodesic acoustic mode induced by toroidal rotation in tokamaks[J]. Phys. Rev. Lett., 2008, 101(11):115003.
[16] Wahlberg C. Low-frequency magnetohydrodynamics and geodesic acoustic modes in toroidally rotating tokamak plasmas[J]. Plasma Phys. Contr. Fusion, 2009, 51(8):085006.
[17] Lakhin V P, Ilgisonis V I. Continuum modes in rotating plasmas: General equations and continuous spectra for large aspect ratio tokamaks[J]. Physics of Plasmas, 2011,18(9): 092103.
[18] Ren H. Effect of toroidal rotation on the geodesic acoustic mode in magnetohydrodynamics[J]. Physics of Plasmas, 2012, 19(9): 094502.
[19] 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): 012501.
[20] 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.
[21] Ilgisonis V I, Pozdnyakov Y I. Transport barrier as a bifurcation of the equilibrium of a tokamak plasma[J].Plasma Physics Reports, 2002, 28(2): 83−93.
[22] Hassam A B, Drake J F. Spontaneous poloidal spin-up of tokamak plasmas: Reduced equations, physical mechanism, and sonic regimes[J]. Physics of Fluids B:Plasma Physics, 1993, 5(11): 4022-4029.

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

Effects of toroidal rotation on the zonal flows at isentropic equilibrium in tokamak plasmas

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