Nonideal magnetohydrodynamic Kelvin-Helmholtz instability driven by the shear in the ion diamagnetic drift velocity in a high-beta plasma
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概要
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A two-dimensional nonideal magnetohydrodynamic eigenmode equation for the most dangerous perturbation (k∥ = 0) is derived for a high-β plasma by making use of the generalized Ohm’s law and becomes identical to the equation describing the two-dimensional hydrodynamic stability. When the pressure is nonuniform, the density is uniform, and there is no unperturbed electric field or gravity, a Kelvin–Helmholtz instability, which is driven by the shear in the ion diamagnetic drift velocity, is found. When the unperturbed ion pressure is proportional to the unperturbed total pressure, a necessary condition for the instability is that d3B0/dx3 must change sign at least once between x = x1 and x = x2, where x is the direction of the nonuniformity perpendicular to the unperturbed magnetic field B0(x) and x = x1 and x2 are points where the x component of the velocity perturbation vanishes. An unstable B0(x) profile and the dispersion relation are obtained for a polygonal ion diamagnetic drift velocity profile
- American Institute of Physics,Department of Earth and Planetary Physics, University of Tokyoの論文
American Institute of Physics,Department of Earth and Planetary Physics, University of Tokyo | 論文
- Nonideal magnetohydrodynamic Kelvin-Helmholtz instability driven by the shear in the ion diamagnetic drift velocity in a high-beta plasma
- Single-fluid stability of stationary plasma equilibria with velocity shear and magnetic shear