Nonequilibrium and current sheet formation in line-tied magnetic fields

Nonequilibrium and current sheet formation in line-tied magnetic fields
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线绑磁场中的非平衡和电流片形成

DOI:
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发表时间:
1998
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影响因子:
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通讯作者:
Ashis Bhattacharjee
Ashis Bhattacharjee
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文献类型:
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作者:
C. Ng;Ashis Bhattacharjee

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Parker’s model of coronal heating [E. N. Parker, Astrophys. J. 174, 499 (1972)] is considered within the framework of ideal reduced magnetohydrodynamics. It is shown that there can be at most one smooth magnetostatic equilibrium for a given smooth footpoint mapping between two end plates to which field lines are line-tied. If such a smooth equilibrium is deformed continuously by further footpoint motion so that it becomes unstable, there is no other smooth equilibrium for the plasma to relax to, and the system tends to a nonequilibrium state containing singular currents (“current sheets”). It is shown that this process can occur as the system relaxes asymptotically to a state of minimum energy (possibly in infinite time). Numerical simulations that begin from smooth initial conditions containing current layers are presented. As the current layers become increasingly intense due to footpoint motion and eventually cross a threshold for instability, the magnetic relaxation observed in the simulation shows a ...