Abstract
In the ideal magnetohydrodynamic approximation it is shown that for physically permissible boundary conditions there may exist some lines on which freezing-in condition is not valid. Such singular lines are closed magnetic lines of force and lines with both ends on the boundary surface. By analogy with the singular lines of a potential magnetic field the conclusion is made that X-type singular lines are the place where current sheets (sheet pinches) appear in plasma, whereas on O-type singular lines quasi-cylindrical pinches of a usual type appear.
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Paper dedicated to Professor Hannes Alfvén on the occasion of his 70th birthday, 30 May, 1978.
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Syrovatskii, S.I. Freezing-in condition a magnetic field and current sheets in plasma. Astrophys Space Sci 56, 3–12 (1978). https://doi.org/10.1007/BF00643458
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DOI: https://doi.org/10.1007/BF00643458