Global geodesic acoustic mode in a tokamak with positive magnetic shear and a monotonic temperature profile

被引：15
|
作者：
Ilgisonis, V. I. [1 ,2 ]
Khalzov, I. V. [3 ]
Lakhin, V. P. [1 ]
Smolyakov, A. I. [1 ,4 ]
Sorokina, E. A. [1 ,2 ]
机构：
[1] NRC Kurchatov Inst, Moscow, Russia
[2] Peoples Friendship Univ Russia, Moscow, Russia
[3] Univ Wisconsin, Madison, WI 53706 USA
[4] Univ Saskatchewan, Saskatoon, SK, Canada
来源：
PLASMA PHYSICS AND CONTROLLED FUSION | 2014年 / 56卷 / 03期
基金：
加拿大自然科学与工程研究理事会;
关键词：
tokamak; GAM; MHD; ZONAL FLOWS; EXPLANATION;
D O I：
10.1088/0741-3335/56/3/035001
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
The analytical solution for global geodesic acoustic modes (GGAMs) in a tokamak with a positive magnetic shear profile and a monotonic temperature profile is found in the framework of magnetohydrodynamic theory. The axisymmetric eigenvalue problem for perturbed pressure and electrostatic potential is formulated as a recurrent set of equations for poloidal Fourier harmonics. The integral condition for the existence of GGAMs is obtained. It is shown that the traditional paradigm of having a off-axis maximum of the local geodesic acoustic frequency is not necessary for the existence of GGAMs; a representative example is designed.
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页数：7
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