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About the Instability Modes of Current Sheet in Wide Range of Frequencies

Authors: V. V. Lyahov, V. M. Neshchadim


We offer a new technique for research of stability of current sheaths in space plasma taking into account the effect of polarization. At the beginning, the found perturbation of the distribution function is used for calculation of the dielectric permeability tensor, which simulates inhomogeneous medium of a current sheath. Further, we in the usual manner solve the system of Maxwell's equations closed with the material equation. The amplitudes of Fourier perturbations are considered to be exponentially decaying through the current sheath thickness. The dispersion equation follows from the nontrivial solution requirement for perturbations of the electromagnetic field. The resulting dispersion equation allows one to study the temporal and spatial characteristics of instability modes of the current sheath (within the limits of the proposed model) over a wide frequency range, including low frequencies.

Keywords: Space Plasma, distribution function, Current sheath, effect of polarization, instability modes, low frequencies, perturbation of electromagnetic field dispersion equation, tensor of dielectric permeability

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[1] V.V. Lyahov, V.M. Neshchadim, "Kinetic theory of the current sheath. I. On polarization of an equilibrium current sheath,” Advances in Space Research, vol. 50(5), pp. 318-326, 2012, DOI:10.1016/j.asr.2012.04.021.
[2] V.V. Lyahov, V.M. Neshchadim, "Kinetic theory of the current sheath. II. Effect of polarization on the stability of a current sheath,” Advances in Space Research, vol. 51(5), pp. 730-741, 2013, DOI:10.1016/j.asr.2012.10.006.
[3] V.V.Lyahov, V.M. Neshchadim, "About the equilibrium and stability of non-electroneutral current sheaths,” Advances in Space Research, 2014, DOI:10.1016/j.asr.2014.05.004
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