1988Plasma Physics and Controlled FusionOpen access

Ideal magnetohydrodynamic linear instabilities in the Z-pinch

M. Coppins

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Abstract

The application of ideal magnetohydrodynamic (MHD) linear stability theory to the Z-pinch is discussed. Numerical solutions of the MHD eigenvalue equation are described. Growth rates and the spatial structure of eigenmodes have been obtained and the stabilising effect of a conducting wall on the m=1 mode has been studied. A detailed analysis of experimental results from Imperial College is presented.

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The application of ideal magnetohydrodynamic (MHD) linear stability theory to the Z-pinch is discussed. Numerical solutions of the MHD eigenvalue equation are described. Growth rates and the spatial structure of eigenmodes have been obtained and the stabilising effect of a conducting wall on the m=1 mode has been studied. A detailed analysis of experimental results from Imperial College is presented.

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Available abstract

The application of ideal magnetohydrodynamic (MHD) linear stability theory to the Z-pinch is discussed. Numerical solutions of the MHD eigenvalue equation are described. Growth rates and the spatial structure of eigenmodes have been obtained and the stabilising effect of a conducting wall on the m=1 mode has been studied. A detailed analysis of experimental results from Imperial College is presented.

Key concepts: Magnetohydrodynamic drive, Magnetohydrodynamics, Ideal (ethics), Physics, Eigenvalues and eigenvectors, Pinch, Stability (learning theory), Z-pinch

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