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A set of conservation equations is utilized to derive balance equations in the reconnection diffusion region of a symmetric pair plasma. The reconnection electric field is assumed to have the function...
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Single-fluid stability of stationary plasma equilibria with velocity shear and magnetic shear

Phys. Plasmas 16, 102107 (2009); doi:10.1063/1.3247873

Published 15 October 2009

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Akira Miura
Department of Earth and Planetary Science, University of Tokyo, Tokyo 113-0033, Japan
By 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. ©2009 American Institute of Physics
History: Received 25 June 2009; accepted 23 September 2009; published 15 October 2009
Permalink: http://link.aip.org/link/?PHPAEN/16/102107/1
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1070-664X (print)   1089-7674 (online)
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