Harmonics of the Kruskal Limit and Field Diffusion in a Toroidal Pinch Discharge
- 15 January 1962
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 125 (2), 417-427
- https://doi.org/10.1103/physrev.125.417
Abstract
Measurement of the magnetic fields in a toroidal pinch discharge have shown that when the applied toroidal magnetic field () is comparable with or less than the self-field of the discharge (), the field penetrates into the discharge more rapidly than expected by simple electromagnetic theory, and also the flux is enhanced within the discharge. This second effect was very marked in these experiments because of the high impedance of the supply circuit connected to the coils. In addition, the magnetic field oscillograms show steps which commence when the magnetic pitch () satisfied , where is the torus circumference and is an integer. If it is assumed that instabilities prevent the formation of a large pressure gradient in the discharge, then , and the field configurations predicted for an applied electric field () are in good agreement with those observed experimentally after field penetration is complete. In particular, the enhancement of is explained. Further, the assumption of small leads to the prediction of more rapid penetration at low . The most likely instabilities which would cause the limitation in pressure gradient and produce the waveform steps are thought to be interchange modes.R. The most likely instabilities which would cause the limitation in pressure gradient and produce the waveform steps are thought to be interchange modeql
Keywords
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