Abstract
The interaction of a perfectly conducting force-free magnetic field with external circuits during the adiabatic compression of a perfectly conducting column is studied in a slab geometry. It is shown that the circuit equations of a cylindrical screw pinch discharge together with an initially specified magnetic field determine a unique motion of the plasma, provided the E × B vector is initially inward. It is found that after a finite time, the model breaks down. Estimates for this time, which correspond to the self-crowbarring time of the plasma, are obtained. Exact nonlinear solutions are obtained for special initial discharges.
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