Abstract
Using the adiabatic approximation, it is shown that the problem of the continuous deformation of a force-free (f.f.) field, in general, has no solution. This means that f.f. fields are nonevolutionary and even small perturbations may produce drastic changes in them. By analogy with a special case of f.f. field, the current-free field, we conclude that perturbations of a f.f. field in general produce pinch (current) sheets.
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Syrovatskii, S.I. On the time evolution of force-free fields. Sol Phys 58, 89–94 (1978). https://doi.org/10.1007/BF00152556
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DOI: https://doi.org/10.1007/BF00152556