Force-free magnetic fields on curvilinear coordinate surfaces |
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| Authors: | Chung-Ming Ko Ing-Guey Jiang |
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| Institution: | (1) Department of Physics, National Central University, 320 Chung-Li, Taiwan, R.O.C.;(2) Institute of Astronomy, National Central University, Chung-Li, Tatwan, Republic of China;(3) Present address: Department of Physics, Theoretical Physics, University of Oxford, 1 Keble Road, OX1 3NP Oxford, U.K. |
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| Abstract: | To seek nonlinear solutions of force-free magnetic fields, some symmetries or approximations are usually invoked. We consider magnetic fields lying on coordinate surfaces of an orthogonal curvilinear coordinate system. We conclude that only fields on parallel planes or spherical shells can be expressed in the form provided by Low in 1980s. These force-free fields are stable against small perturbations with rigid boundaries. Fields on cylindrical shells are also considered. |
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