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Ideal ballooning modes in the tokamak scrape-off layer
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10.1063/1.4807333
/content/aip/journal/pop/20/5/10.1063/1.4807333
http://aip.metastore.ingenta.com/content/aip/journal/pop/20/5/10.1063/1.4807333
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Ideal ballooning mode growth rate is plotted as a function of and . The growth rate is obtained from the largest real eigenvalue of Eq. (16) using Dirichlet boundary conditions, .

Image of FIG. 2.
FIG. 2.

Linear growth rates obtained from Eqs. (1)–(5) for –0.95 (toroidal mode numbers ). Low modes become unstable as α increases.

Image of FIG. 3.
FIG. 3.

Growth rate obtained from Eqs. (1)–(5) linearized in the following limits: (a) complete model, (b) complete model without magnetic flutter terms, (c) complete model without induction term, (d) ideal MHD model, and (e) ideal MHD with magnetic flutter terms.

Image of FIG. 4.
FIG. 4.

Poloidal cross-sections of plasma pressure during the non-linear stage of simulations are plotted for simulations with (left to right) while the ideal stability parameter for each case is . The dashed lines mark the profile length .

Image of FIG. 5.
FIG. 5.

Radial cross-sections of plasma pressure during the non-linear stage of simulations are plotted for simulations with (left to right) while the ideal stability parameter for each case is . The radial cut is carried out at the equatorial midplane.

Image of FIG. 6.
FIG. 6.

Power spectrum of pressure fluctuations during the non-linear stage of simulations are plotted as a function of poloidal wave number (left) and toroidal mode number (right). The simulations have (diamonds, circles, and squares, respectively).

Image of FIG. 7.
FIG. 7.

Radial correlation lengths of (*), (×), and electrostatic particle flux (+) are plotted as a function of . Radial length of electrostatic potential eddies (∘), estimated from a non-local linear theory, is shown for comparison.

Image of FIG. 8.
FIG. 8.

Estimated flux obtained from linear reduced Braginskii model together with the gradient removal saturation rule (Eq. (19) ). The normalized pressure gradients are (left) and 12.5 (right). A shift to lower wave number is observed as α increases.

Image of FIG. 9.
FIG. 9.

Scaling of the pressure profile decay length obtained as a function of from Eq. (20) .

Image of FIG. 10.
FIG. 10.

Ideal ballooning mode growth rate is plotted as a function of and . We show three different cases: (left); (center); and (right, same case as Ref. , which includes Shafranov's shift) .

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/content/aip/journal/pop/20/5/10.1063/1.4807333
2013-05-28
2014-04-19
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Ideal ballooning modes in the tokamak scrape-off layer
http://aip.metastore.ingenta.com/content/aip/journal/pop/20/5/10.1063/1.4807333
10.1063/1.4807333
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