A study of kinetic electrostatic ‘bounce’ modes in a 2D current sheet

Physics – Plasma Physics

Scientific paper

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[7827] Space Plasma Physics / Kinetic And Mhd Theory, [7829] Space Plasma Physics / Kinetic Waves And Instabilities

Scientific paper

We analyse the dispersion of the kinetic modes that may develop in 2D current sheet configurations, with a non null Bz. Our purpose is to investigate the role of ballooning-type perturbations in the dynamics of current sheets and their possible destabilization by a resonant interactions with trapped particles. The formulation is based on the gyro-kinetic Maxwell-Vlasov equations and we consider effects associated to non-uniformity of the plasma equilibria, finite Larmor radii, magnetic trapping and wave-particle resonant interactions. Considering a ‘modified’ Harris-type equilibrium, we solve the linearized Vlasov equations for electrostatic perturbations with periods of the order of the particle bounce periods. The central part of the calculation is the temporal integration of the Vlasov equation along the bounce trajectories of the particles. The procedure consists in a Fourier decomposition of the periodic bounce motion of the particles. Retaining the fundamental component of the motion (, we show that the temporal integration can be explicitly performed keeping into account the resonant interactions with the trapped particles. One can then deduce the perturbed quantities (here, the density perturbation) and formulate the dispersion equation of the eigenmodes. A parametric analysis is then performed to investigate the conditions of existence of the trapped modes and their domain of instability.

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