Contours of for the standard illustrative values used throughout this paper: units such that and wavelength chosen to equal a, so This illustrates the effective rippling of the upper boundary (axes scales equal). Cuts corresponding to the case are also shown as thick gray lines on the y-axis.
Contours of for the partially reconnected plasmoid case with Here, is the value of ψ on the cuts shown as black lines on the y-axis.
A magnified view of the ψ contours in the vicinity of the junction of a current sheet and a plasmoid, for the case showing the Y-point structure obtained for this value of (axes scales equal).
Jumps in the gradient of ψ across the y-axis, giving the intensity of the sheet currents by Eq. (12) , for the original HK fully screened solution (dashed) and the modified HK solution (solid) for which the current sheet intensity never goes negative.
Contours of near the y-axis for the original HK fully screened solution ( for ), showing islands with separatrices joining points where the sheet current changes sign.
Contours of near the y-axis for the modified fully screened solution with showing the simple topology of the magnetic surfaces in this case.
Contours of for a plasmoid case with magnified scale on x-axis. Mapped images of the vertical (orange) and horizontal (green) mesh lines appear in Fig. 7 .
Jumps in the gradient of ψ across the y-axis for the half-screened plasmoid case The dashed curve is for the case showing current reversal within the current sheets and singularities at the ends, and the solid curve is for the case in which the current sheet intensity never goes negative and joins continuously to the zero values within the plasmoid regions.
The residual boundary error vs. y for the case
The residual boundary error maximized over y, i.e., vs. L.
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