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Closure and transport theory for high-collisionality electron-ion plasmas
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10.1063/1.4801022
/content/aip/journal/pop/20/4/10.1063/1.4801022
http://aip.metastore.ingenta.com/content/aip/journal/pop/20/4/10.1063/1.4801022

Figures

Image of FIG. 1.
FIG. 1.

Coefficients , and for Z = 1 as a function of x. The coefficients from the Landau operator are presented for various number of moments: K = 2 (red, solid), 3 (blue, dotted), 10 (green, dashed-dotted), 40 (pink, dashed-dotted-dotted), and 160 (cyan, short-dashed). The coefficients from Lorentz operator (gray, dashed with squares) and the fittings (black, solid with circles) are also shown. The numbers in the inset box of the coefficients show parallel coefficients (x = 0) for K = 2, 3, 10, 40, and 160 (from the top to the bottom) with the percentage departure from K = 160 in the parentheses. The percentage departure as a function of x is also shown at the bottom of each graph.

Image of FIG. 2.
FIG. 2.

Coefficients for Z = 100 as a function of x. See analogous description in Fig. 1 .

Image of FIG. 3.
FIG. 3.

Electron coefficients and for Z = 1 and their percentage departure for K = 2, 3, 10, 40, and 80 calculations. Note that , and . The numbers in the inset box of the show parallel coefficients (x = 0) for K = 2, 3, 10, 40, and 80 (from the top to the bottom) with the percentage departure from K = 80 in the parentheses. The percentage departure as a function of x is also shown at the bottom of each graph.

Image of FIG. 4.
FIG. 4.

Transport coefficients from K = 2, 3, 10, 40, and 160 (M = K + 1) calculations. See analogous description in Fig. 1 .

Image of FIG. 5.
FIG. 5.

Coefficient for Z = 1 and 100. See analogous description inFig. 1 .

Image of FIG. 6.
FIG. 6.

The behavior of collision coefficients. A series with a slower decrease than 1/ k diverges.

Image of FIG. 7.
FIG. 7.

Ion coefficients and for I = protons (Z = 1) as a function of r. The Braginskii coefficients (K = 2 with no i-e collision effect, red, solid) are compared to K = 3 calculations with no i-e collision (cyan, dashed), with i-e collision effect for (blue, dotted), 1 (pink, dashed-dotted), and 10 (green, dashed-dotted-dotted). The numbers in the parentheses in the inset of and show parallel coefficients (r = 0), and the asymptotic behaviors are also shown in the brackets, appearing in the same order as the legend.

Tables

Generic image for table
Table I.

Comparison with Balescu's transport coefficients for Z = 1 (Tables 5.4.1 and 5.4.2 in Ref. 1 ) in 29 moment approximation. The prime is used for Balescu's coefficients to distinguish from ours, and . The discrepancy is due to errors in Balescu's collision coefficient calculations.

Generic image for table
Table II.

Calculating transport coefficients from collision matrix elements. Here, is the collision matrix in Eq. (67) , which includes the 0th row and column in addition to and .

Generic image for table
Table III.

Coefficients of the rational polynomials of , and .

Generic image for table
Table IV.

Coefficients for rational polynomials of .

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/content/aip/journal/pop/20/4/10.1063/1.4801022
2013-04-17
2014-04-21
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Closure and transport theory for high-collisionality electron-ion plasmas
http://aip.metastore.ingenta.com/content/aip/journal/pop/20/4/10.1063/1.4801022
10.1063/1.4801022
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