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Investigation of tearing instability using GeFi particle simulation model
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10.1063/1.3662435
/content/aip/journal/pop/18/12/10.1063/1.3662435
http://aip.metastore.ingenta.com/content/aip/journal/pop/18/12/10.1063/1.3662435
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

(Color online) Profiles of eigen functions of tearing mode for case 1 with Bx 0/BG  = 0.1 and L/ρs 0 = 1.5. The parallel vector potential (top) and the scalar potential (bottom) are shown. The real parts, imaginary, and absolute value for both and are represented by dashed lines (red), dashed-dotted lines (blue), and solid lines (black), respectively.

Image of FIG. 2.
FIG. 2.

(a) Dependence of the linear growth rates of tearing mode, obtained from both the GK eigenmode theory and the asymptotic matching theory by Drake and Lee,9 on the current sheet half-width L. (b) Dependence of |γ − γA |/γA and (c/ωpe 0)/L on L.

Image of FIG. 3.
FIG. 3.

(Color online) (a) Contours of three components of perturbed magnetic field and electrostatic potential in real space obtained from the GeFi simulation of case 2 with Bx 0/BG  = 0.075, L/ρs 0 = 1.5, Ti /Te  = 1, kxL = 0.5. (b) The corresponding results in real space obtained from the GK eigenmode calculation. (c) Comparison between the absolute values of the corresponding quantities obtained from the GeFi simulation and the eigenmode calculation. (d) Time history of amplitude of and δφ vs. time.

Image of FIG. 4.
FIG. 4.

Linear growth rate as a function of (a) kxL for cases with Bx 0/BG  = 0.075, L/ρs 0 = 0.75, and Ti /Te  = 0.01 and (b) L for cases with Bx 0/BG  = 0.075, Ti /Te  = 0.01, and kxL = 0.5. Open circles show the tearing mode growth rate obtained from the GeFi simulation, while the solid lines show the results obtained from the eigenmode calculation.

Image of FIG. 5.
FIG. 5.

(Color online) The tearing mode (ωr  = 0) and co-exist high-frequency electrostatic drift mode (ωr  = ±46Ω i 0) are identified by the distribution of δφ in the ω space for different time stages.

Image of FIG. 6.
FIG. 6.

Tearing mode growth rate as a function of Bx 0/BG for the cases with (a) kxL = 0.4 and (b) kx  = 0.5. The solid circles (solid lines) represent the results obtained from the GeFi simulation (eigenmode calculation) for the cases with δφ ≠ 0, while the open circles (dashed lines) represent those in the cases with δφ = 0. In these cases, L/ρs 0 = 1 and Ti /Te  = 0.01.

Image of FIG. 7.
FIG. 7.

(Color online) Tearing mode structures obtained from (top) the GeFi simulation and (middle) PIC simulation. The corresponding eigen functions are shown in bottom, in which black solid lines represent the GeFi results and the red dotted lines represent the PIC results. The parameters used in the simulations are mi /me  = 1836, Ti /Te  = 1, kxL = 0.4, and L/ρs 0 = 0.5 (left panel), 0.25 (right panel).

Image of FIG. 8.
FIG. 8.

Linear tearing mode growth rate as a function of Bx 0/BG . Open circles/triangles represent results obtained from the GeFi simulation, while the solid circles/triangles represent results obtained from the PIC simulations, for mi /me  = 1836, Ti /Te  = 1, and kxL = 0.4.

Image of FIG. 9.
FIG. 9.

(Color online) (a) Time history of and island width w obtained from the GeFi simulation, where , , and . (b) Contours of , δφ, and in the linear stage at t = t 1. (c) Contours of the three quantities in nonlinear stage at t = t 3. (d) The corresponding eigen functions at times t = t 1, t 2, and t 3.

Image of FIG. 10.
FIG. 10.

Dependence of nonlinear saturation half-width ws on ρeK .

Image of FIG. 11.
FIG. 11.

(Color online) (a) Time history of and |δφ| obtained from the GeFi simulation and the PIC simulation. (b) Contours of , δφ, ne , and ni in real space obtained from the GeFi simulation. (c) Contours of , δφ, ne , and ni in real space obtained from the PIC simulation.

Image of FIG. 12.
FIG. 12.

(Color online) (a) Contours of relative error of magnetic momentum between the GK and the FK electrons in the Bx 0/BG  − L space for nb  = 0. (b) The dependence of η on Bx 0/BG for various L/ρs 0. (c) The dependence of η on L for various Bx 0/BG . (d) The dependence of η on Bx 0/BG for L/ρs 0 = 0.5 in cases with nb  = 0 and nb  = nh .

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/content/aip/journal/pop/18/12/10.1063/1.3662435
2011-12-09
2014-04-24
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Investigation of tearing instability using GeFi particle simulation model
http://aip.metastore.ingenta.com/content/aip/journal/pop/18/12/10.1063/1.3662435
10.1063/1.3662435
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