EFFECT OF A CONDUCTING WALL ON THE STABILITY OF MAGNETIC MIRROR CONFIGURATIONS (in French)
Using the energy principle derived from the magnetohydrodynamic equations of Chew, Goldberger and Low, the stability of a type of particular equilibrium with anisotropic pressure is studied, in a magnetic mirror configuration. In the case of axial symmetry without azimuthal field, the problem of minimizing the energy variation can be dealt with in a manner similar to that used in the case of a scalar pressure. It is shown that in the absence of conducting walls there is a necessary condition for stability with respct to displacements that do not modify the magnetic field. The presence of a perfectly conducting wall that intersects the field lines and that is in contact with the plasma, imposes the condition that the displacements are zero at the wall. This condition eliminates the type of movements responsible for flute'' instability. In this case, the study of stability reduces to consideration of t e sign of the eigenvalues of a Sturm-Liouville equation. sufficient condition for stability is established by seeki g a lower limit of the first eigenvalue of this equation; for the plasma to be stable, it is sufficient that this limit should be positive. (auth)
- Research Organization:
- Centre d'Etudes Nucleaires, Fontenay-aux-Roses, France
- NSA Number:
- NSA-16-023241
- OSTI ID:
- 4821668
- Journal Information:
- Nuclear Fusion, Suppl., Other Information: Orig. Receipt Date: 31-DEC-62
- Country of Publication:
- Country unknown/Code not available
- Language:
- French
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