Ideal magnetohydrodynamic stability of axisymmetric mirrors
- 1 January 1982
- journal article
- research article
- Published by AIP Publishing in Physics of Fluids
- Vol. 25 (12) , 2223
- https://doi.org/10.1063/1.863962
Abstract
The governing partial differential equation for general mode‐number pressure‐driven ballooning modes in a long‐thin, axisymmetric plasma is derived within the context of ideal magnetohydrodynamics. It is shown that the equation reduces in special limits to the Hain–Lüst equation, the high‐m diffuse p(ψ) ballooning equation, and the low‐m sharp‐boundary equation. A low‐β analytic solution of the full partial differential equation is presented for quasiflute modes in an idealized tandem mirror model to elucidate the relationship of the various limiting cases.Keywords
This publication has 0 references indexed in Scilit: