Growth rate (γ in units , where R 0 is the major radius of the magnetic axis) as a function of . The dashed-dotted (blue “x”) line is the spectral case with , the solid (black) line is the non-spectral case, and the dashed (red circles) line is the maximum growth rate obtained when varying in the spectral case.
Growth rates of the spectral case (γ in units ) as a function of for four representative values of . The curves are denoted as follows: (blue) crosses, (red) circles, (black) pluses, and (magenta) stars.
Eigenfunction in arbitrary units as a function of the poloidal angle θ. The figure is obtained from a spectral run with and . Solid lines give the real part, whereas dashed lines give the imaginary part. The (red) lines without symbols are the potential perturbation ( ), the (blue) lines with the symbol “x” are the density perturbation ( ), and the (magenta) lines with the closed circles are the perpendicular temperature perturbation ( ).
The growth rate as a function of (left) and the safety factor q (right) for the non-spectral case. The (red) full line gives the result for , while the (blue) dashed line gives the result for .
The growth rate (left) and frequency (right) as a function of the magnetic shear for the non-spectral case. The (red) full line gives the result for , while the (blue) dashed line gives the result for .
Growth rates of the fluid model as a function of θ for (blue dashed “x”), (red dashed), and (black solid). The left panel gives the growth rates for , whereas the right panel gives the results for . The values of as well as the curve labels are the same for both panels.
Left panel: Growth rates (normalised to ) of the fluid model as a function of K for (blue solid “x”), (red dashed), and (black solid). Right panel: Growth rates (normalised to ) of spectral gyro-kinetic simulations with , with the drift multiplied with a constant α. The values of as well as the curve labels are the same as that of the fluid model in the left panel.
Growth rates as a function of (spectral case) for the Waltz standard case with , and (blue no symbols), (black stars), (magenta “x”), (green open circles), and (red “+”).
Growth rates as a function of (non-spectral case) for (blue dashed “x”), (black solid), and (red open circles).
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