2022-05-17T09:10:48Zhttps://repository.dl.itc.u-tokyo.ac.jp/oaioai:repository.dl.itc.u-tokyo.ac.jp:000008272021-03-02T08:43:15ZSingle-fluid stability of stationary plasma equilibria with velocity shear and magnetic shearMiura, Akira3204450plasma Alfven wavesplasma drift wavesplasma instabilityTokamak devicesBy using incompressible single-fluid equations with a generalized Ohm’s law neglecting the electron inertia, a linear eigenmode equation for a magnetic field perturbation is derived for stationary equilibria in a slab geometry with velocity and magnetic shears. The general eigenmode equation contains a fourth-order derivative of the perturbation in the highest order and contains Alfvén and whistler mode components for a homogeneous plasma. The ratio of the characteristic ion inertia length to the characteristic inhomogeneity scale length is chosen as a small parameter for expansion. Neglecting whistler mode in the lowest order, the eigenmode equation becomes a second-order differential equation similar to the ideal magnetohydrodynamic eigenmode equation except for the fact that the unperturbed perpendicular velocity contains both electric and ion diamagnetic drifts. A sufficient condition for stability against the Kelvin–Helmholtz instability driven by shear in the ion diamagnetic drift velocity is derived and then applied to tokamaks.journal articleAmerican Institute of Physics2009-10application/pdfPhysics of plasmas1016102107AA109875551070664Xhttps://repository.dl.itc.u-tokyo.ac.jp/record/827/files/PP_16_10_102107.pdfenginfo:doi/10.1063/1.3247873http://doi.org/10.1063/1.3247873© 2009 American Institute of Physics