Seed parallel Reynolds stress induced by spontaneous symmetry breaking

NUCLEAR FUSION AND PLASMA PHYSICS ›› 2010, Vol. 30 ›› Issue (3): 193-196.

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Seed parallel Reynolds stress induced by spontaneous symmetry breaking

ZHANG Yang-zhong

(NetRep, LLC, Austin, Texas 78717 U.S.A)

Received:2010-03-08 Revised:2010-05-05 Online:2010-09-15 Published:2011-08-18

对称性自发破缺所诱发的种子平行雷诺胁强

章扬忠

(NetRep, LLC, Austin, Texas 78717 U.S.A)

作者简介:章征伟(1985-)，男，安徽南陵人，在读硕士研究生，等离子体物理专业。

Abstract

Abstract:

The ballooning theory of the second kind anticipates the spontaneous radial symmetry breaking of unstable toroidal local modes in tokamak such as drift waves owing to toroidicity. Taking the fluid model equation of ion temperature gradient driven mode to be an instance, the two-dimensional local mode structure associated with the symmetry breaking is solved. When the sideband is neglected, it is reduced to the modified slab wave function by the radial shift. The modified slab wave function is used to yield the seed parallel Reynolds stress, which would otherwise (as in the traditional slab wave function) be zero.

Key words: Ballooning theory, Spontaneous symmetry breaking, Ion temperature gradient driven mode, Seed (residual) parallel Reynolds stress, Singular perturbation theory

摘要：

根据第二类气球模理论，在托卡马克中诸如不稳定漂移波类的环形局部模将在径向呈现源于环形性的对称性自发破缺。以流体离子温度梯度模模型方程为例，解出在准环坐标系中由对称性自发破缺产生的二维局部模本征模式。在略去边带效应后，它成为具有径向位移修正的平板模式。由位移修正离子温度梯度模式导出了种子平行雷诺胁强，而它在传统的(无位移修正的)平板模式下被证明为零。

关键词: 气球模理论, 对称性自发破缺, 离子温度梯度模, 种子平行雷诺胁强, 奇异摄动论

CLC Number:

TL65⁺6

ZHANG Yang-zhong. Seed parallel Reynolds stress induced by spontaneous symmetry breaking[J]. NUCLEAR FUSION AND PLASMA PHYSICS, 2010, 30(3): 193-196.

章扬忠. 对称性自发破缺所诱发的种子平行雷诺胁强[J]. 核聚变与等离子体物理, 2010, 30(3): 193-196.

References

[1] Zhang Y Z, Mahajan S M. On broken ballooning symmetry [J]. Phys. Lett. A, 1991, 157: 133.

[2] Zhang Y Z, Mahajan S M, Zhang X D. Two dimensional aspects of toroidal drift waves in the ballooning representation [J]. Phys. Fluids, 1992, B4: 2729.

[3] Zhang X D, Zhang Y Z, Mahajan S M. Multiple-gap theory of toroidal Alfven waves with kinetic effects [J]. Phys. Fluids, 1993, B5: 1257.

[4] Connor J W, Taylor J B, Wilson H R. Shear damping of drift waves in toroidal plasmas [J] Phys. Rev. Lett., 1993, 70: 1803.

[5] Zhang X D, Zhang Y Z, Mahajan S M. Continuum damping of ideal toroidal Alfven eigenmodes [J]. Phys. Plasma, 1994, 1: 381.

[6] Zhang Y Z, Mahajan S M. Reynolds stress of localized toroidal modes [J]. Phys. Plasma, 1995, 2: 4236.

[7] Taylor J B, Wilson H R, Connor J W. Structure of short-wavelength drift modes and transport in a toroidal plasma [J]. Plasma Phys. Contr. Fusion, 1996, 38: 243.

[8] Taylor J B, Wilson H R. Plasma rotation and toroidal drift modes [J]. Plasma Phys. Contr. Fusion, 1996, 38: 1999.

[9] Dong J Q, Xu W B, Zhang Y Z, et al. Structure of parallel-velocity-shear-driven mode in toroidal plasmas [J]. Phys. Plasma, 1998, 12: 4328.

[10] Rosenbluth M N, Berk H L, Van Dam J W, et al. Mode structure and continuum damping of high-n toroidal Alfven eigenmodes [J]. Phys. Fluids, 1992, 4: 2189.

[11] Gürcan Ö D, Diamond P H, Hahm T S, et al. Intrinsic rotation and electric field shear [J]. Phys. Plasma, 2007, 14: 042306.

[12] Diamond P H, McDevitt C J, Gürcan Ö D, et al. Physics of non-diffusive turbulent transport of momentum and the origins of spontaneous rotation in tokamaks [J]. Nucl. Fusion, 2009, 49: 045002.

[13] McDevitt C J, Diamond P H, Gürcan Ö D, et al. Toroidal rotation driven by the polarization drift [J]. Phys. Rev. Lett., 2009, 103: 205003.

[14] Coppi B, Rosenbluth M N, Sagdeev R Z. Instabilities due to temperature gradients in complex magnetic field configurations [J]. Phys. Fluids, 1967, 10: 582.

Seed parallel Reynolds stress induced by spontaneous symmetry breaking

对称性自发破缺所诱发的种子平行雷诺胁强

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