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- W2093586345 startingPage "1663" @default.
- W2093586345 abstract "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.For large values of $ensuremath{epsilon}$ and $ensuremath{alpha}$ most of the intensity occurs at small frequencies: If $sinensuremath{varphi}ensuremath{gg}{(frac{m}{M})}^{frac{1}{2}}ensuremath{epsilon}$, the main spectrum is continuous as in the absence of a magnetic field; if ${(frac{m}{M})}^{frac{1}{2}}ensuremath{ll}sinensuremath{varphi}ensuremath{ll}{(frac{m}{M})}^{frac{1}{2}}ensuremath{epsilon}$, it consists of lines with spacing about the ion gyrofrequency; if $sinensuremath{varphi}ensuremath{ll}{(frac{m}{M})}^{frac{1}{2}}$, it consists mainly of a line at zero frequency. Weaker spectral lines are obtained which correspond to plasma oscillations, the existence of frequency gaps is confirmed for small angles $ensuremath{varphi}$, and the intensities of the various components are evaluated. For small $ensuremath{varphi}$, another spectral line is obtained at a resonance frequency intermediate between the electron and ion gyrofrequency." @default.
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- W2093586345 date "1961-06-15" @default.
- W2093586345 modified "2023-10-14" @default.
- W2093586345 title "Plasma Density Fluctuations in a Magnetic Field" @default.
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- W2093586345 doi "https://doi.org/10.1103/physrev.122.1663" @default.
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