Dependence of Frequency of Nonlinear Cold Plasma Cylindrical Oscillations on Electron Density: Significance to Space-Plasma Diagnostics

Physics

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2471 Plasma Waves And Instabilities, 2772 Plasma Waves And Instabilities, 0619 Electromagnetic Theory, 0639 Nonlinear Electromagnetics, 0654 Plasmas

Scientific paper

In a cold plasma, the frequency of small-amplitude oscillations fpe along one Cartesian coordinate is proportional to the square root of the electron density. We found that for cold-plasma nonlinear cylindrical oscillations this dependence is logarithmic with an excess of negative charge near the axis of symmetry. The electron plasma frequency increases monotonically with increasing electron density with an upper limit equal to the square root of 2 times fpe [Osherovich and Fainberg, 2004; Osherovich et al., 2004]. These results are of importance for the diagnostics of large-amplitude plasma waves in the solar wind and in the magnetosphere. Osherovich, V. A., and J. Fainberg, Phys. Plasmas, 11, 2314, 2004. Osherovich, V. A., J. Fainberg, and C. J. Farrugia, Phys. Rev. Lett., submitted, 2004.

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