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Kinetic damping of Alfvén eigenmodes in general tokamak geometry
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10.1063/1.3190158
/content/aip/journal/pop/16/7/10.1063/1.3190158
http://aip.metastore.ingenta.com/content/aip/journal/pop/16/7/10.1063/1.3190158
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

The eigenfunction of GAEs: vs for the previous code (solid line), where the eigenvalue is ; in this code (open circles), the eigenvalue is , where is the minor radius and is the frequency in the center of tokamaks.

Image of FIG. 2.
FIG. 2.

The eigenfunction vs for constant density, pressure profile: , safety factor profile: (where , , , ), mode numbers: , inverse aspect ratio: . (a) ; (b) ; (c) ; and (d) .

Image of FIG. 3.
FIG. 3.

The eigenvalue vs pressure gradient for the same parameters as in Fig. 2.

Image of FIG. 4.
FIG. 4.

(a) The safety factor ; (b) the pressure profile.

Image of FIG. 5.
FIG. 5.

The eigenfunction vs normalized radius for the parameters and profiles selected as constant density, -profile: , parabolic pressure profile: , inverse aspect ratio: , mode numbers: . (a) for ; (b) for ; (c) for ; and (d) for .

Image of FIG. 6.
FIG. 6.

The damping rate vs Larmor radius of thermal ion. The functions of damping rates are shown in two curves: solid and dashed ones by using this code and the previous code, respectively.

Image of FIG. 7.
FIG. 7.

The eigenfunctions of RSAEs for . (a) The eigenfunction for , ; (b) the eigenfunction for , . Here, is real part of the eigenvalue and is imaginary part of the eigenvalue.

Image of FIG. 8.
FIG. 8.

(a) Damping rate vs normalized gyroradius for . The dash curve represents a fitting curve for electron damping and the solid one is total damping. (b) The logarithmic damping rate of radiative damping vs normalized inverse gyroradius . The solid curve is a linear fitting curve. (c) Damping rate vs normalized gyroradius for . The dash curve represents a fitting curve for electron damping and the solid one is total damping. (d) The logarithmic damping rate of radiative damping vs normalized inverse gyroradius . The solid curve is a linear fitting curve.

Image of FIG. 9.
FIG. 9.

(a) vs ; (b) vs .

Image of FIG. 10.
FIG. 10.

(a) The eigenmode structure of KRSAEs for . (b) The eigenmode structure of KRSAEs for . (c) The real part of the eigenvalue vs radial number of grids for the cases of Fig. 10(a) (open squares) and Fig. 10(b) (open circles). (d) The imaginary part of the eigenvalue vs radial number of grids for the cases of Fig. 10(a) (open squares) and Fig. 10(b) (open circles).

Image of FIG. 11.
FIG. 11.

Half width of a single-peak eigenmode vs squared root of normalized ion Larmor radius for , .

Image of FIG. 12.
FIG. 12.

Damping rate of a single-peak eigenmode vs normalized ion Larmor radius for .

Image of FIG. 13.
FIG. 13.

(a) The eigenfunction of KRSAEs with two peaks for . (b) The eigenfunction of KRSAEs with four peaks for the same parameters in Fig. 13(a). (c) The damping rates vs normalized ion Larmor radius for KRSAEs with single peaks (open circles), two peaks (open squares), and four peaks (open triangles), respectively, for .

Image of FIG. 14.
FIG. 14.

The eigenmode structure of RSAEs for .

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2009-07-24
2014-04-17
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Kinetic damping of Alfvén eigenmodes in general tokamak geometry
http://aip.metastore.ingenta.com/content/aip/journal/pop/16/7/10.1063/1.3190158
10.1063/1.3190158
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