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Escape patterns of chaotic magnetic field lines in a tokamak with reversed magnetic shear and an ergodic limiter
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10.1063/1.2988335
/content/aip/journal/pop/15/9/10.1063/1.2988335
http://aip.metastore.ingenta.com/content/aip/journal/pop/15/9/10.1063/1.2988335
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Equilibrium flux surfaces for the plasma equilibrium with reversed shear given by a nonmonotonic current profile.

Image of FIG. 2.
FIG. 2.

Nonmonotonic safety factor profile for a reversed shear equilibrium with and .

Image of FIG. 3.
FIG. 3.

Scheme of an ergodic magnetic limiter.

Image of FIG. 4.
FIG. 4.

Poincaré section of a tokamak perturbed by an ergodic limiter for a nonmonotonic safety factor profile with and , , , and (a) and ; (b) , .

Image of FIG. 5.
FIG. 5.

Invariant stable (dark curves) and unstable (light gray curves) manifolds of a fixed point embedded in the chaotic region corresponding to the Poincaré sections depicted in (a) Fig. 4(a); (b) Fig. 4(b).

Image of FIG. 6.
FIG. 6.

Intersections among the invariant manifolds corresponding to the Poincaré sections depicted in (a) Fig. 4(a); (b) Fig. 4(b).

Image of FIG. 7.
FIG. 7.

Distribution of connection lengths in the range [1, 10] (indicated by a color scale) for the Poincaré sections depicted in (a) Fig. 4(a); (b) Fig. 4(b). (c) and (d) represent this distribution in the range [1, 200] for (a) and (b), respectively.

Image of FIG. 8.
FIG. 8.

Intervals of the same connection length (indicated by a color scale) computed at the tokamak wall, as a function of the edge safety factor, and corresponding to the Poincaré sections depicted in (a) Fig. 4(a); (c) Fig. 4(b). (b) and (d) are magnifications of a region in (a) and (c), respectively.

Image of FIG. 9.
FIG. 9.

Magnifications of the Poincaré sections corresponding to four points of Fig. 8(b) for (a) , (b) , (c) , and (d) .

Image of FIG. 10.
FIG. 10.

Power spectral variation with between 5.0 and 3.0, for selected field lines with long connection lengths.

Image of FIG. 11.
FIG. 11.

Exit basins dividing the poloidal cross section into ten regions (indicated by a color scale), corresponding to the Poincaré sections depicted in (a) Fig. 4(a); (b) Fig. 4(b).

Image of FIG. 12.
FIG. 12.

Histograms for the number of escaping field lines times their connection lengths, corresponding to the Poincaré sections depicted in (a) Fig. 4(a); (b) Fig. 4(b).

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/content/aip/journal/pop/15/9/10.1063/1.2988335
2008-09-25
2014-04-23
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Escape patterns of chaotic magnetic field lines in a tokamak with reversed magnetic shear and an ergodic limiter
http://aip.metastore.ingenta.com/content/aip/journal/pop/15/9/10.1063/1.2988335
10.1063/1.2988335
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