Plasma Density Fluctuations in a Magnetic Field
Plasma Density Fluctuations in a Magnetic Field
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磁场中的等离子体密度涨落
DOI：
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发表时间：
1961
期刊：
影响因子：
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通讯作者：
E. Salpeter
中科院分区：
文献类型：
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作者：
E. Salpeter
考虑了恒定磁场中完全热力学平衡的完全电离气体的正弦电子电荷密度随传播矢量k的涨落。设$Ensureath{α}$和$Ensureath{epsilon}$分别是德拜长度和电子回转半径与波长${k}^{Ensureath{-}1}$的比率。导出了任意值和k与磁场夹角($ensuremath{varphi}ensuremath{-}frac{1}{2}ensuremath{pi}$)时这些涨落的频谱的一般公式。这个表达式所隐含的色散关系以前已经由Gross和Bernstein得到，但推导方法不同。假定电子离子质量比为很小的{Frc{m}{M}$。
Sinusoidal electron charge density fluctuations with propagation vector k are considered for a fully ionized gas in complete thermodynamic equilibrium in a constant magnetic field. Let $ensuremath{alpha}$ and $ensuremath{epsilon}$ be the ratio of the Debye length and of an electron gyroradius, respectively, to the wavelength ${k}^{ensuremath{-}1}$. A general formula is derived for the frequency spectrum of these fluctuations for arbitrary values of $ensuremath{alpha}$, $ensuremath{epsilon}$, and of the angle ($ensuremath{varphi}ensuremath{-}frac{1}{2}ensuremath{pi}$) between k and the magnetic field. The dispersion relation implied by this expression has been obtained previously by Gross and by Bernstein, but the method of derivation is different. A very small electron-ion mass ratio $frac{m}{M}$ is assumed.