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A study of dust grain screening in a weakly ionized plasma based on the numerical solution of the Vlasov-Bhatnagar-Gross-Krook kinetic equations
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10.1063/1.3646918
/content/aip/journal/pop/18/10/10.1063/1.3646918
http://aip.metastore.ingenta.com/content/aip/journal/pop/18/10/10.1063/1.3646918

Figures

Image of FIG. 1.
FIG. 1.

Distributions of ion concentration for a = 0.1 r D . Here, —— indicates the present numerical results for different collisional regimes: (1), 0.12 (2), 0.17 (3), 0.32 (4), and collisionless (5); indicates the results obtained using the nonlinear collisionless model of Ref. 8 with and ; ▴ indicates the results obtained using the nonlinear collisionless model of Ref. 9 with ; and indicates the results obtained using the drift-diffusion approach with z = 5.6, , and .

Image of FIG. 2.
FIG. 2.

Distributions of ion concentration for a = 0.5 r D . Here, —— indicates the present numerical results for different collisional regimes: (1), 0.13 (2), 0.28 (3), 0.43 (4), and collisionless (5); indicates the results obtained using the nonlinear collisionless model of Ref. 8 with and ; and indicates the results obtained using the drift-diffusion approach with z = 7.4, , and .

Image of FIG. 3.
FIG. 3.

Distributions of ion concentration for a = 2 r D . Here, —— indicates the present numerical results for different collisional regimes: (1), 0.19 (2), 0.39 (3), 0.8 (4), and collisionless (5); indicates the results obtained using the nonlinear collisionless model of Ref. 8 with (solution does not depend on ); and indicates the results obtained using the drift-diffusion approach with z = 10, , and .

Image of FIG. 4.
FIG. 4.

Distributions of electron concentration for a = 0.5 r D . Here, —— indicates the present numerical results for different collisional regimes: (1), 0.063 (2), 0.27 (3), 0.75 (4), and collisionless (5); indicates the results obtained using the nonlinear collisionless model of Ref. 8 with and ; and indicates the results obtained using the drift-diffusion approach with z = 7.4, , and .

Image of FIG. 5.
FIG. 5.

Distributions of the normalized electric potential for a = 0.1 r D . Here, —— indicates the present numerical results for different collisional regimes: collisionless (1), (2), 0.38 (3), 0.14 (4), and 0.012 (5); indicates the results obtained using the nonlinear collisionless model of Ref. 8 with and ; ▴ indicates the results obtained using the nonlinear collisionless model of Ref. 9 with ; and indicates the results obtained using the drift-diffusion approach with z = 5.6, , and .

Image of FIG. 6.
FIG. 6.

Distributions of the normalized electric potential for a = 0.5 r D . Here, —— indicates the present numerical results for different collisional regimes: collisionless (1), (2), 1.16 (3), 0.38 (4), and 0.012 (5); indicates the results obtained using the nonlinear collisionless model of Ref. 8 with and ; and indicates the results obtained using the drift-diffusion approach with z = 7.4, , and .

Image of FIG. 7.
FIG. 7.

Distributions of the normalized electric potential for a = 2 r D . Here, —— indicates the present numerical results for different collisional regimes: collisionless (1), (2), 3.28 (3), 0.79 (4), and 0.03 (5); indicates the results obtained using the nonlinear collisionless model of Ref. 8 with (solution does not depend on ); and indicates the results obtained using the drift-diffusion approach with z = 10, , and .

Image of FIG. 8.
FIG. 8.

Distributions of the effective charge for a = 0.5 r D . Here, —— indicates the present numerical results for different collisional regimes: collisionless (1), (2), 0.79 (3), 0.38 (4), 0.03 (5), and 0.01 (6); indicates the results obtained using the nonlinear collisionless model of Ref. 8 with and ; and indicates the results obtained using the drift-diffusion approach with z = 7.4, , and .

Image of FIG. 9.
FIG. 9.

The normalized grain charge z versus . Here, — — — indicates the collisionless limit calculated using our model; indicates the results calculated using the nonlinear collisionless model of Ref. 8 with: and for a = 0.1 r D ; and for a = 0.5 r D ; and , (solution does not depend on ) for a = 2 r D .

Image of FIG. 10.
FIG. 10.

Distributions of the ion temperature in the case of a = 0.5 r D for different collisional regimes: (1), 0.28 (2), 0.75 (3), 3.9 (4), and collisionless (5).

Image of FIG. 11.
FIG. 11.

Distributions of the ion velocity in the case of a = 0.5 r D . Here, —— indicates the distribution for strongly collisional regime () and – – – indicates the distribution for collisionless solution.

Image of FIG. 12.
FIG. 12.

Distributions of the electron velocity in the case of a = 0.5 r D . Here, —— indicates the distribution for strongly collisional regime () and – – – indicates the distribution for collisionless solution.

Image of FIG. 13.
FIG. 13.

The ion distribution function near the grain surface at different collisional regimes for a = 0.5 r D . (a) collisionless solution, (b) , and (c) .

Image of FIG. 14.
FIG. 14.

Isolines of the ion distribution function near the grain surface at different collisional regimes for a = 0.5 r D . (a) collisionless solution, , and ; (b) , , and ; and (c) , , and .

Tables

Generic image for table
Table I.

Background argon plasma parameters for different collisional regimes.

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/content/aip/journal/pop/18/10/10.1063/1.3646918
2011-10-19
2014-04-23
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: A study of dust grain screening in a weakly ionized plasma based on the numerical solution of the Vlasov-Bhatnagar-Gross-Krook kinetic equations
http://aip.metastore.ingenta.com/content/aip/journal/pop/18/10/10.1063/1.3646918
10.1063/1.3646918
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