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A model for two-dimensional bursty turbulence in magnetized plasmas
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Image of FIG. 1.
FIG. 1.

The time evolution of (red line—upper curve) and (blue line—lower curve) [Eq. (20)]. The numerical error (black line—middle curve), given by the sum of these two contributions, is of the order of .

Image of FIG. 2.
FIG. 2.

Two-dimensional polar contour of the number density (left panels) and the vorticity (right panels) at three different times, namely (upper panels), (middle panels), and (lower panels).

Image of FIG. 3.
FIG. 3.

Samples of the time evolution of radial flux at three locations of the domain, namely (upper panel), (middle panel), and (lower panel) at .

Image of FIG. 4.
FIG. 4.

Two-dimensional images of a single burst (left panel) and the corresponding electrostatic potential (right panel). In the right panel, the solid line contour indicates , while the dotted line contour indicates .

Image of FIG. 5.
FIG. 5.

In the left panel, the time evolution of a burst as measured by a “probe” located at and is shown. In the right panel, a burst as a function of at is shown, detected at three different times, namely (curve a), (curve b), (curve c).

Image of FIG. 6.
FIG. 6.

The large-scale profile of density (upper panel), and the standard deviation (lower panel).

Image of FIG. 7.
FIG. 7.

Probability density functions of radial flux at three different radial locations: (curve a), (curve b), and (curve c).

Image of FIG. 8.
FIG. 8.

PDF of the burst size (see text for definition) at (a) and (b) in double-logarithmic plots. This quantity measures the bursts' energy.

Image of FIG. 9.
FIG. 9.

PDF of waiting times at (a) and (b) in double-logarithmic plots.

Image of FIG. 10.
FIG. 10.

PDF of duration times at (a) and (b) in double-logarithmic plots.

Image of FIG. 11.
FIG. 11.

Third-order mixed correlations at three different radial positions (symbols) (, , and , as shown in the figure legend) and the best-fit curves representing the Taylor logarithmic development described in Eq. (25) (full lines).


Generic image for table
Table I.

Parameters of fits reported in Fig. 11.


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: A model for two-dimensional bursty turbulence in magnetized plasmas