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首页> 外文期刊>Plasma physics and controlled fusion >Geodesic acoustic mode frequency and the structure of Alfvén continuum in toroidal plasmas with high q ~2β
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Geodesic acoustic mode frequency and the structure of Alfvén continuum in toroidal plasmas with high q ~2β

机译：q〜2β高的环形等离子体中的测地线声模频率和Alfvén连续体的结构

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摘要

It is shown that conventional expressions for the frequencies of the geodesic acoustic mode (GAM) and the gaps in the Alfvén continuum of toroidal plasmas are valid only when q ~2β Le1, where q is the safety factor and β is the ratio of the plasma pressure to the magnetic field pressure. Expressions, which are relevant to plasmas with Q ~2β? ≤ 1 (β?= β= β _s/ (1+β _s) where β _s=c ~2 _s/v ~2 _A, c _s is the sound velocity, v _A is the Alfvén velocity) and convenient for practical use, are obtained for the GAM frequency and the characteristic values of the frequencies of gap modes (toroidicity-induced Alfvén eigenmodes, ellipticity-induced Alfvén eigenmodes and noncircularity-induced Alfvén eigenmodes). It is found that at any the Alfvén continuum in the near-axis region is described by Mathieu's equation. Due to this, simple expressions are also obtained for the limit case of.
机译：结果表明，仅当q〜2βLe1时，测地声模频率（GAM）的频率和环形等离子体的Alfvén连续谱中的间隙才有效，其中q是安全系数，β是等离子体的比率压力到磁场压力。与Q〜2β血浆相关的表达式？ ≤1（β？=β=β_s /（1 +β_s）其中β_s = c〜2 ss / v〜2 _A，c _s是声速，v _A是Alfvén速度）并且实用方便获得GAM频率和间隙模态的频率特征值（环形诱导的Alfvén本征模态，椭圆度诱导的Alfvén本征模态和非圆度诱导的Alfvén本征模态）。发现在近轴区域中的任何Alfvén连续体都由Mathieu方程描述。因此，对于的极限情况，也可以获得简单的表达式。

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