On the time evolution of force-free fields

Details On the time evolution of force-free fields On the time evolution of force-free fields

Jun 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978soph...58...89s&link_type=abstract

Solar Physics, vol. 58, June 1978, p. 89-94.

Physics

32

Force-Free Magnetic Fields, Magnetohydrodynamic Waves, Solar Magnetic Field, Stellar Evolution, Current Sheets, Perturbation Theory, Plasma Waves, Shock Wave Propagation, Time Dependence

Scientific paper

The question is considered of whether a force-free magnetic field remains force-free in the lowest order of magnitude if it is disturbed by small perturbations of a general type. Adiabatically slow deformations of a force-free field due to slow changes of external conditions in a plasma of infinitely high conductivity are examined. The results show that for a two-dimensional force-free field the zero line is a singular line in the sense that the problem of adiabatically slow deformation, in general, has no solution; this means that force-free fields are not evolutionary and can be drastically altered even by small perturbations. By analogy with a potential field it is concluded that disturbances of a force-free field produce, in general, pinch (current) sheets in which the external magnetic pressure is balanced by the inner gas pressure and the value of beta is at least unity.

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