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Eigenvalue problems for Beltrami fields arising in a three-dimensional toroidal magnetohydrodynamic equilibrium problem
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10.1063/1.2722721
/content/aip/journal/pop/14/5/10.1063/1.2722721
http://aip.metastore.ingenta.com/content/aip/journal/pop/14/5/10.1063/1.2722721
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Eigenvalues for cylindrical plasma as a function of , with , , and .

Image of FIG. 2.
FIG. 2.

Rotational transform profile for the first three eigenvalues with , , , and .

Image of FIG. 3.
FIG. 3.

Contour plot of spacing between lowest eigenvalues as a function of interface separation and . The contour labels display the value of .

Image of FIG. 4.
FIG. 4.

Fourier convergence error: (a) , and (b) , for the configuration with .

Image of FIG. 5.
FIG. 5.

Rotational transform profiles for , , , (solid), and (dotted) in the integrable case . The rotational transform on the inner surface is for , and the greater the value of , the greater the shear.

Image of FIG. 6.
FIG. 6.

Poincaré plot of the Beltrami field: perturbation of outer boundary , with Fourier resolution , . Shown in the upper half plot is the coordinates.

Image of FIG. 7.
FIG. 7.

Poincaré plot of Beltrami field: perturbation of outer boundary , with Fourier resolution , . Shown in the upper half plot is the coordinates.

Image of FIG. 8.
FIG. 8.

Critical function for the family of Beltrami fields parametrized by the 3D perturbation parameter , with Fourier resolution , , showing some low order rationals and their adjacent Farey intervals, to level 14. The gray areas indicate regions of connected chaos.

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/content/aip/journal/pop/14/5/10.1063/1.2722721
2007-05-11
2014-04-19
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Eigenvalue problems for Beltrami fields arising in a three-dimensional toroidal magnetohydrodynamic equilibrium problem
http://aip.metastore.ingenta.com/content/aip/journal/pop/14/5/10.1063/1.2722721
10.1063/1.2722721
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