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Nonlinear simulation of toroidal Alfvén eigenmode with source and sink
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10.1063/1.3394702
/content/aip/journal/pop/17/4/10.1063/1.3394702
http://aip.metastore.ingenta.com/content/aip/journal/pop/17/4/10.1063/1.3394702
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

The contour plot of for the baseline case.

Image of FIG. 2.
FIG. 2.

The time evolution of the mode amplitude with only pitch angle scattering at different collision rates. From the top to the bottom, the collision rates are , , , , and .

Image of FIG. 3.
FIG. 3.

The nonlinear saturation level of the mode amplitude as a function of collision rate in the presence of pitch angle scattering only.

Image of FIG. 4.
FIG. 4.

The time evolution of the mode amplitude with only slowing down process at different slowing down rates. From top to bottom, the slowing down rates are , , , and .

Image of FIG. 5.
FIG. 5.

The nonlinear saturation level of the mode amplitude as a function of collision rate in the presence of slowing down only.

Image of FIG. 6.
FIG. 6.

The contour plots of the as a function of toroidal angular momentum and energy for fixed . The right plot is for collisionless condition and the left plot is for slowing down only with slowing down rate .

Image of FIG. 7.
FIG. 7.

The contour plot of the mode amplitude as a function of the mode frequency and time for slowing down case. The slowing down rate is .

Image of FIG. 8.
FIG. 8.

The time evolution of the mode amplitude with both pitch angle scattering and slowing down at different collision rates. From top to bottom, the slowing down rates are , , , , and .

Image of FIG. 9.
FIG. 9.

The nonlinear saturation level of the mode amplitude as a function of collision rate in the presence of both pitch angle scattering and slowing down.

Image of FIG. 10.
FIG. 10.

The fast oscillation frequency versus the nonlinear saturation level of the mode amplitude.

Image of FIG. 11.
FIG. 11.

The time evolution of the mode amplitude for different parameter regimes at . From top to bottom, the first line is for the case with the combination of both slowing down and pitch angle scattering, the second line is for the case with slowing down, and the third line is for the case with pitch angle scattering.

Image of FIG. 12.
FIG. 12.

The time evolution of the mode amplitude for different parameter regimes at . The dotted line is for collisionless case, the dashed line is for the case with the combination of both slowing down and pitch angle scattering, the solid line is for the case with slowing down, and the dashed-dotted line is for the case with pitch angle scattering.

Image of FIG. 13.
FIG. 13.

The distribution function as a function of toroidal angular momentum for fixed and with three cases, collisionless, pitch angle scattering only, slowing down only. The slowing down rate .

Image of FIG. 14.
FIG. 14.

The time evolution of the mode amplitude for the near-marginal instability case. No collisions are present in this case.

Image of FIG. 15.
FIG. 15.

The distribution function as a function of toroidal angular momentum for fixed and with near-marginal instability at three times, the dashed line corresponds to the first nonlinear drop at , the solid line corresponds to the first nonlinear rise at , and the dashed-dotted line corresponds to the second nonlinear drop at .

Image of FIG. 16.
FIG. 16.

The contour plot of the mode amplitude as a function of the mode frequency and time for near-marginal instability case. No collisions are present in this case.

Image of FIG. 17.
FIG. 17.

The time evolution of the mode amplitude for different numbers of particles with slowing down only , the total number particles used in the dashed line is four times larger than that used in the solid line.

Image of FIG. 18.
FIG. 18.

The time evolution of the mode amplitude for different time steps with both pitch angle scattering and slowing down , the time step used in the solid curve is 1/4 of that used in the dashed curve.

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/content/aip/journal/pop/17/4/10.1063/1.3394702
2010-04-29
2014-04-17
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Nonlinear simulation of toroidal Alfvén eigenmode with source and sink
http://aip.metastore.ingenta.com/content/aip/journal/pop/17/4/10.1063/1.3394702
10.1063/1.3394702
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