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Linear and nonlinear evolution of azimuthal clumping instabilities in a Z-pinch wire array
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10.1063/1.2434794
/content/aip/journal/pop/14/1/10.1063/1.2434794
http://aip.metastore.ingenta.com/content/aip/journal/pop/14/1/10.1063/1.2434794
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

A circular array of metallic wires, each carrying a current in the direction, out of the plane of paper.

Image of FIG. 2.
FIG. 2.

The one-sector wedge with reflection boundary condition (a), which replicates the mode in an -wire cylindrical array (b). Here, .

Image of FIG. 3.
FIG. 3.

(a) The unperturbed wire positions in a linear array, and (b) the perturbed wire positions in the presence of the mode. Here, is the displacement of the wire from its unperturbed position.

Image of FIG. 4.
FIG. 4.

Acceleration vs displacement of the zeroth wire in the mode.

Image of FIG. 5.
FIG. 5.

Normalized impact time vs initial azimuthal displacement of the zeroth wire in the mode. Also shown are the asymptotic formulas for [Eq. (12)] and approaching [Eq. (13)].

Image of FIG. 6.
FIG. 6.

ALEGRA simulation geometry.

Image of FIG. 7.
FIG. 7.

Amplitude gain as a function of time for the mode, with (a) , (b) , and (c) .

Image of FIG. 8.
FIG. 8.

trajectory for the mode, with (a) , (b) , and (c) .

Image of FIG. 9.
FIG. 9.

Geometry used for the simulations of the Cornell paired wire experiments. Note that the center-to-center spacing in these simulations is a wire’s diameter less than the nominal spacing in the experiments.

Image of FIG. 10.
FIG. 10.

Results of discrete wire code simulations of the Cornell experiments, assuming all current flows in wire cores from . (a) Shows the results for the case, and (b) shows results for the case.

Image of FIG. 11.
FIG. 11.

Results of the discrete wire simulations of the Cornell experiments, assuming current is “switched on” in the wires at into the current pulse. (a) Shows the results for the simulation, and (b) shows the results for a simulation.

Image of FIG. 12.
FIG. 12.

Results of discrete wire simulations of the Cornell experiments showing the percent change in wire gaps for various assumed fractional amounts of the current pulse flowing in the wire cores. (a) Shows the results for the case, and (b) shows the results for the case.

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/content/aip/journal/pop/14/1/10.1063/1.2434794
2007-01-31
2014-04-16
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Linear and nonlinear evolution of azimuthal clumping instabilities in a Z-pinch wire array
http://aip.metastore.ingenta.com/content/aip/journal/pop/14/1/10.1063/1.2434794
10.1063/1.2434794
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