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Plasmoid solutions of the Hahm–Kulsrud–Taylor equilibrium model
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10.1063/1.4817276
/content/aip/journal/pop/20/8/10.1063/1.4817276
http://aip.metastore.ingenta.com/content/aip/journal/pop/20/8/10.1063/1.4817276
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Contours of for the standard illustrative values used throughout this paper: units such that and wavelength chosen to equal , 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 -axis.

Image of FIG. 2.
FIG. 2.

Contours of for the partially reconnected plasmoid case with Here, is the value of ψ on the cuts shown as black lines on the -axis.

Image of FIG. 3.
FIG. 3.

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).

Image of FIG. 4.
FIG. 4.

Jumps in the gradient of ψ across the -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.

Image of FIG. 5.
FIG. 5.

Contours of near the -axis for the original HK fully screened solution ( for ), showing islands with separatrices joining points where the sheet current changes sign.

Image of FIG. 6.
FIG. 6.

Contours of near the -axis for the modified fully screened solution with showing the simple topology of the magnetic surfaces in this case.

Image of FIG. 7.
FIG. 7.

Contours (black) in the -plane of the Syrovatsky solution given in Sec. IV in the case The orange hyperbolae and green ellipses are the images of the rectangular mesh in Fig. 8 , extended to the range under the periodic conformal map defined in Sec. V (axes scales equal).

Image of FIG. 8.
FIG. 8.

Contours of for a plasmoid case with magnified scale on -axis. Mapped images of the vertical (orange) and horizontal (green) mesh lines appear in Fig. 7 .

Image of FIG. 9.
FIG. 9.

Jumps in the gradient of ψ across the -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.

Image of FIG. 10.
FIG. 10.

The residual boundary error for the case

Image of FIG. 11.
FIG. 11.

The residual boundary error maximized over , i.e., .

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/content/aip/journal/pop/20/8/10.1063/1.4817276
2013-08-05
2014-04-17
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Plasmoid solutions of the Hahm–Kulsrud–Taylor equilibrium model
http://aip.metastore.ingenta.com/content/aip/journal/pop/20/8/10.1063/1.4817276
10.1063/1.4817276
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