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Comparing linear ion-temperature-gradient-driven mode stability of the National Compact Stellarator Experiment and a shaped tokamak
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10.1063/1.4791657
/content/aip/journal/pop/20/2/10.1063/1.4791657
http://aip.metastore.ingenta.com/content/aip/journal/pop/20/2/10.1063/1.4791657

Figures

Image of FIG. 1.
FIG. 1.

Illustration of flux surface shapes for a prototypical strongly-shaped tokamak at r/a = 0.8 (blue solid line), 0.9 (green dashed line), and 0.98 (red dash-dot line).

Image of FIG. 2.
FIG. 2.

The NCSX (blue solid line) and tokamak (green dashed line) equilibria: normalized vs. θ.

Image of FIG. 3.
FIG. 3.

The NCSX (blue solid line) and tokamak (green dashed line) equilibria: normalized vs. θ, showing a close-up around .

Image of FIG. 4.
FIG. 4.

The NCSX (blue solid line) and tokamak (green dashed line) the curvature drift frequency ( ) along θ.

Image of FIG. 5.
FIG. 5.

The NCSX (blue solid line) and tokamak (green dashed line) equilibria: the curvature drift frequency ( ) along θ, showing a close-up around .

Image of FIG. 6.
FIG. 6.

The NCSX (blue solid line) and tokamak (green dashed line) equilibria: vs. θ.

Image of FIG. 7.
FIG. 7.

The NCSX (blue solid line) and tokamak (green dashed line) equilibria: vs. θ, showing a close-up around .

Image of FIG. 8.
FIG. 8.

Comparing electrostatic eigenfunctions for NCSX ( : red triangles and : light blue solid line) and tokamak ( : blue circles and : green dashed line), for an adiabatic ITG mode with . For ARIES, , and for NCSX, .

Image of FIG. 9.
FIG. 9.

NCSX growth rate spectrum for the adiabatic ITG mode with .

Image of FIG. 10.
FIG. 10.

Tokamak growth rate spectrum for the adiabatic ITG mode with .

Image of FIG. 11.
FIG. 11.

NCSX (blue crosses) and ARIES-AT-like tokamak (red circles) adiabatic ITG mode growth rate dependence on temperature gradient. Fits obtained through piecewise linear interpolation on the lowest half of the growth rate curve.

Image of FIG. 12.
FIG. 12.

Growth rates for an ITG mode with kinetic electrons as a function of temperature gradient for NCSX (blue crosses) and an ARIES-AT-like tokamak configuration (red circles). Fits obtained through piecewise linear interpolation on the lowest half of the growth rate curve.

Image of FIG. 13.
FIG. 13.

NCSX growth rate spectrum for the kinetic ITG mode with .

Image of FIG. 14.
FIG. 14.

Tokamak growth rate spectrum for the kinetic ITG mode with .

Image of FIG. 15.
FIG. 15.

Poloidal cross sections of NCSX for two toroidal angles. The dashed line is the location of the vacuum vessel and the solid lines are last closed flux surfaces for various ι profiles. Reprinted with permission from Neil Pomphrey et al., PPPL Report PPPL-3701, 2002. More information can be found in Refs. 48 and 49 .

Image of FIG. 16.
FIG. 16.

Similar to Fig. 12 , the x-axis is normalized by the local magnetic field radius of curvature , instead of a. This demonstrates that NCSX (blue crosses) performs much better than expected if the instability was the same at the same , presumably indicating that additional stabilizing effects in the parallel dynamics are important in NCSX. Tokamak growth rates: red circles.

Tables

Generic image for table
Table I.

Geometry values for the NCSX equilibrium.

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/content/aip/journal/pop/20/2/10.1063/1.4791657
2013-02-11
2014-04-24
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Comparing linear ion-temperature-gradient-driven mode stability of the National Compact Stellarator Experiment and a shaped tokamak
http://aip.metastore.ingenta.com/content/aip/journal/pop/20/2/10.1063/1.4791657
10.1063/1.4791657
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