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Exact two-dimensional solution for magnetic compression of a thin axisymmetric shell and neck formation in an X-pinch
Zubarev N. M.
1,2, Chaikovsky S. A.
1
1Institute of Electrophysics of the Ural Branch of the Russian Academy of Sciences, Yekaterinburg, Russia
2Lebedev Physical Institute, Russian Academy of Sciences, Moscow, Russia
2Lebedev Physical Institute, Russian Academy of Sciences, Moscow, Russia
Email: nick@iep.uran.ru
Exact two-dimensional solutions are constructed that describe the dynamics of magnetic compression of a hollow shell, which is a one-sheeted hyperboloid of revolution. The solutions are applicable for interpreting the results of experiments on the formation of necks in X-pinches. In particular, they make it possible to relate the main parameters of the problem: the axial scale of the neck, the time of its formation, and the geometric characteristics of the system. Keywords: X-pinch, neck formation, thin shell model.
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