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arxiv: 1611.07859 · v1 · pith:RMS2YXR2new · submitted 2016-11-23 · ⚛️ physics.plasm-ph · astro-ph.EP· astro-ph.HE· astro-ph.SR· physics.space-ph

Why does steady-state magnetic reconnection have a maximum local rate of order 0.1?

classification ⚛️ physics.plasm-ph astro-ph.EPastro-ph.HEastro-ph.SRphysics.space-ph
keywords reconnectionratemaximummagneticangleclosenearopening
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Simulations suggest collisionless steady-state magnetic reconnection of Harris-type current sheets proceeds with a rate of order 0.1, independent of dissipation mechanism. We argue this long-standing puzzle is a result of constraints at the magnetohydrodynamic (MHD) scale. We perform a scaling analysis of the reconnection rate as a function of the opening angle made by the upstream magnetic fields, finding a maximum reconnection rate close to 0.2. The predictions compare favorably to particle-in-cell simulations of relativistic electron-positron and non-relativistic electron-proton reconnection. The fact that simulated reconnection rates are close to the predicted maximum suggests reconnection proceeds near the most efficient state allowed at the MHD-scale. The rate near the maximum is relatively insensitive to the opening angle, potentially explaining why reconnection has a similar fast rate in differing models.

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