Some instabilities of a completely ionized plasma
Martin David Kruskal, Martin Schwarzschild
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Source: Crossref
Published: May 6, 1954
DOI: 10.1098/rspa.1954.0120
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Abstract Two cases of equilibrium for a highly conducting plasma are investigated for their stability. In the first case, a plasma is supported against gravity by the pressure of a horizontal magnetic field. This equilibrium is found unstable, in close correspondence to the classical case of a heavy fluid supported by a light one. The second case refers to the so-called pinch effect. Here a plasma is kept within a cylinder by the pressure of a toroidal magnetic field which in turn is caused by an electric current within the plasma. This equilibrium is found unstable against lateral distortions.
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