Current density (gray scale) and magnetic field lines for a resistive MHD simulation of the Newton challenge problem at the time of the maximum reconnection rate. A localized resistivity is used given by Eq. (13) with , , and .
(Color online) Electric field along the axis as function of time for three resistive MHD simulations of the Newton challenge problem with the same boundary inflow but different values of resistivity: , 0.01, and 0.02 (from top to bottom).
(a) Maximum reconnection rates as function of resistivity for various amplitudes of the boundary deformation, using the localized resistivity model (13). (b) The same data but renormalized using the magnetic field strength at the inflow boundary and the density at the reconnection site at the time of maximum rate.
Same as Fig. 3(b) but for a wider simulation box with .
(Color online) Electric field along the axis as function of time for various values of with , using the resistivity model (13) with and , .
Maximum reconnection rate and maximum driving electric field as function of for , using the resistivity model (13) with .
(Color online) Electric field for slow driving, , , using the resistivity model (13) with . Top: at for (dotted line) and (solid line). Center: at as function of and . Bottom: at .
Evolution of magnetic field lines in the island coalescence. Top: initial state. Center: two islands coalesce, forming a thin current sheet in between, which undergoes reconnection. Bottom: the two island have merged into one.
(Color online) Electric field at as function of time for three values of with uniform resistivity . The solid lines show the location of the O-points within the magnetic islands.
Maximum reconnection rate in the island coalescence as function of resistivity for different values of .
Maximum reconnection rate as function of the maximum driving electric field for various values of . Dashed lines connect points that belong to the same values of .
Same as Fig. 10 but renormalized, using the maximum magnetic field strength in the inflow region and the density at the reconnection site at the time of maximum reconnection rate.
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