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Bifurcation in electrostatic resistive drift wave turbulence
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View: Figures


Image of FIG. 1.
FIG. 1.

(Color online) Primary instabilities generate turbulence from a potential energy reservoir, secondary instabilities lead to the growth of shear or zonal flows at the expense of turbulence kinetic energy, and tertiary instabilities may destabilize the shear or zonal flows. Zig-zag green arrows represent dissipative channels.

Image of FIG. 2.
FIG. 2.

(Color online) Primary stability boundary in the plane and plane.

Image of FIG. 3.
FIG. 3.

(Color online) Contour plot of in the saturated state. Zonally elongated structure of the electrostatic potential is clearly visible in the modified HW model (a), while isotropic vortices are generated in the HW model (b).

Image of FIG. 4.
FIG. 4.

(Color online) Time evolution plots of total kinetic energy, zonal flow kinetic energy, and transport of MHW and HW models.

Image of FIG. 5.
FIG. 5.

(Color online) Parameter dependence of the zonal kinetic energy normalized by the total kinetic energy. Transitions from a zonal-flow-dominated state to a turbulence-dominated state occur.

Image of FIG. 6.
FIG. 6.

(Color online) Average zonal flow wavenumber versus and .

Image of FIG. 7.
FIG. 7.

(Color online) Zonal flow amplitude vs and .

Image of FIG. 8.
FIG. 8.

(Color online) Growth rates for flow in the hydrodynamic limit as described in the text.

Image of FIG. 9.
FIG. 9.

(Color online) Growth rate in the adiabatic limit (, ). (a) dependence, (b) dependence.

Image of FIG. 10.
FIG. 10.

(Color online) Growth rates for the HW case as described in the text.

Image of FIG. 11.
FIG. 11.

(Color online) Bifurcation diagram showing the correlation between the linearized stability estimates described in the text and the regimes observed in our turbulence simulations.


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Bifurcation in electrostatic resistive drift wave turbulence