Universal instability for wavelengths below the ion Larmor scale

preprint2015arXivOpen access

Abstract

We demonstrate that the universal mode driven by the density gradient in a plasma slab can be absolutely unstable even in the presence of reasonable magnetic shear. Previous studies from the 1970s that reached the opposite conclusion used an eigenmode equation limited to Lx≫ρiL_x \gg ρ_i, where LxL_x is the scale length of the mode in the radial direction, and ρiρ_i is the ion Larmor radius. Here we instead use a gyrokinetic approach which does not have this same limitation. Instability is found for perpendicular wavenumbers kyk_y in the range 0.7≲kyρi≲1000.7 \lesssim k_y ρ_i \lesssim 100, and for sufficiently weak magnetic shear: Ls/Ln≥17L_s / L_n \ge 17, where LsL_s and LnL_n are the scale lengths of magnetic shear and density. Thus, the plasma drift wave in a sheared magnetic field may be unstable even with no temperature gradients, no trapped particles, and no magnetic curvature.

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