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Global particle-in-cell simulations of Alfvénic modes
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10.1063/1.3021453
/content/aip/journal/pop/15/11/10.1063/1.3021453
http://aip.metastore.ingenta.com/content/aip/journal/pop/15/11/10.1063/1.3021453

Figures

Image of FIG. 1.
FIG. 1.

The shear Alfvén spectrum in a screw pinch. The GAE mode frequency resulting from the PIC simulation is compared with the MHD result. The solid line corresponds to the continuum branch with the poloidal mode number and the toroidal mode number .

Image of FIG. 2.
FIG. 2.

The eigenmode structure (the electrostatic and magnetic potentials in arbitrary units) of the GAE mode in screw pinch geometry. The PIC simulation result is compared vs the MHD result.

Image of FIG. 3.
FIG. 3.

The shear Alfvén spectrum in a bumpy pinch. The KMAE mode frequency resulting from the PIC simulations is plotted vs the continuum branches corresponding to the coupling modes with the toroidal mode numbers and . The poloidal mode number is .

Image of FIG. 4.
FIG. 4.

The eigenmode structure (the electrostatic and magnetic potentials in arbitrary units) of the KMAE mode in the bumpy pinch geometry. One sees two coupling modes with the toroidal mode numbers and . The poloidal mode number is .

Image of FIG. 5.
FIG. 5.

Time evolution of the electrostatic and magnetic potentials (arbitrary units). The KMAE mode in bumpy pinch geometry. One sees that the modes with the toroidal mode numbers and couple with each other. The poloidal mode number is .

Image of FIG. 6.
FIG. 6.

Time evolution of the electrostatic and magnetic potentials (arbitrary units). The TAE mode in a tokamak with the coupling poloidal mode numbers and . A beating structure indicates that more than just one eigenmode is present in the signal.

Image of FIG. 7.
FIG. 7.

The Fourier spectrum of the signal in Fig. 6. There are two dominant frequencies present in the signal which explains the beating seen in Fig. 6.

Image of FIG. 8.
FIG. 8.

The shear Alfvén spectrum in a tokamak (for parameters see the main text). The dominant frequencies resulting from the PIC simulations are compared with the eigenfrequencies of the TAE modes obtained with the ideal MHD eigenvalue code. The continuum branches are plotted as well.

Image of FIG. 9.
FIG. 9.

Zoom of Fig. 6. One sees that the coupling poloidal harmonics are very well correlated with each other. The much smaller sidebands are plotted as well. The arrows show a typical point in time at which the radial pattern (Fig. 10) can be clearly seen.

Image of FIG. 10.
FIG. 10.

The radial pattern resulting from the PIC simulation (the electrostatic and magnetic potentials in arbitrary units) is compared with the ideal TAE (the mode at the lower end of the gap, see Fig. 8). The gyrokinetic radial pattern is taken at the point of time indicated with arrows in Fig. 9.

Image of FIG. 11.
FIG. 11.

The frequency and the growth rate of the (small ) and KBM (larger ) instabilities in tokamak geometry.

Image of FIG. 12.
FIG. 12.

The structure of electrostatic and magnetic potentials (KBM instability) in the tokamak cross section. Parameters are as in Fig. 11 corresponding to the point with .

Tables

Generic image for table
Table I.

See parameters in the main text.

Generic image for table
Table II.

See the parameters in the main text.

Generic image for table
Table III.

See the parameters in the main text.

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/content/aip/journal/pop/15/11/10.1063/1.3021453
2008-11-25
2014-04-21
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Global particle-in-cell simulations of Alfvénic modes
http://aip.metastore.ingenta.com/content/aip/journal/pop/15/11/10.1063/1.3021453
10.1063/1.3021453
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