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Modeling of stochastic broadening in a poloidally diverted discharge with piecewise analytic symplectic mapping flux functions
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10.1063/1.2972157
/content/aip/journal/pop/15/8/10.1063/1.2972157
http://aip.metastore.ingenta.com/content/aip/journal/pop/15/8/10.1063/1.2972157
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

The 11th degree polynomial fit to the data for .

Image of FIG. 2.
FIG. 2.

Safety factor as function of toroidal flux, , and the data points.

Image of FIG. 3.
FIG. 3.

An enlarged view of , Fig. 2, in regions 2 and 3 and the boundaries between regions 1 and 2, regions 2 and 3, and regions 3 and 4.

Image of FIG. 4.
FIG. 4.

Equilibrium Hamiltonian for field lines in DIII-D shot 115467 .

Image of FIG. 5.
FIG. 5.

Rotational transform for DIII-D shot 115467 . For , in region 4. The turning point in region 4 occurs at .

Image of FIG. 6.
FIG. 6.

Phase portrait for locked magnetic perturbations in the DIII-D. We integrate 50 field lines starting at , , and . Each line makes 10 000 toroidal circuits in DIII-D.

Image of FIG. 7.
FIG. 7.

Phase portrait for locked magnetic perturbations in the DIII-D. We integrate 10 field lines starting at , , and . Starting values of are equally spaced in this interval. Each line makes 10 000 toroidal circuits in DIII-D.

Image of FIG. 8.
FIG. 8.

Phase portrait for locked magnetic perturbations in the DIII-D. We integrate 10 field lines starting at , , and . Starting values of are equally spaced in this interval. Each line makes 10 000 toroidal circuits in DIII-D.

Image of FIG. 9.
FIG. 9.

A close up view of phase portrait for locked magnetic perturbations in the DIII-D. We integrate 10 field lines starting at , , and . Starting values of are equally spaced in this interval. Each line makes 10 000 toroidal circuits in DIII-D.

Image of FIG. 10.
FIG. 10.

Phase portrait for locked magnetic perturbations in the DIII-D. We integrate 10 field lines starting at , , and . Starting values of are equally spaced in this interval. Each line makes a maximum of 100 000 toroidal circuits in DIII-D. In Fig. 11, we show a close up view of Fig. 10.

Image of FIG. 11.
FIG. 11.

The last good surface for the locked magnetic perturbation with amplitude in the DIII-D. This figure is a close up view of Fig. 10.

Image of FIG. 12.
FIG. 12.

Phase portrait for locked magnetic perturbations in the DIII-D in the open field lines region. We integrate 25 field lines starting at , , and . Starting values of are equally spaced in this interval.

Image of FIG. 13.
FIG. 13.

Phase portrait for field errors and topological noise for magnetic coordinate varies from 1.35 to 1.4.

Image of FIG. 14.
FIG. 14.

Phase portrait for field errors and topological noise for magnetic coordinate varies from 1.5 to 1.6.

Image of FIG. 15.
FIG. 15.

Phase portrait of field line trajectories in the DIII-D open lines region for error fields and noise.

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/content/aip/journal/pop/15/8/10.1063/1.2972157
2008-08-19
2014-04-21
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Modeling of stochastic broadening in a poloidally diverted discharge with piecewise analytic symplectic mapping flux functions
http://aip.metastore.ingenta.com/content/aip/journal/pop/15/8/10.1063/1.2972157
10.1063/1.2972157
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