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Modification of the formation of high-Mach number electrostatic shock-like structures by the ion acoustic instability
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10.1063/1.4825339
/content/aip/journal/pop/20/10/10.1063/1.4825339
http://aip.metastore.ingenta.com/content/aip/journal/pop/20/10/10.1063/1.4825339

Figures

Image of FIG. 1.
FIG. 1.

Shock formation: Two equal plasma clouds consisting of electrons and ions, each with the density  = 1, collided initially at the position  = 0 at the speed 2. The figure shows the system a short time after the collision, when clouds 1 and 2 have interpenetrated for a short distance. The ion density in this overlap layer is () = 2. Some electrons stream out of this layer due to their high mobility and the resulting net charge puts the overlap layer on a positive potential relative to the surrounding plasma clouds.

Image of FIG. 2.
FIG. 2.

The spatio-temporal electric field distribution in the 1D simulation: The color corresponds to 103 , space is given in units of the electron Debye length λ and time is normalized to the ion plasma frequency ω.

Image of FIG. 3.
FIG. 3.

The normalized electrostatic potential .

Image of FIG. 4.
FIG. 4.

The phase space distributions from the 1D simulation at the time ω = 86: Panel (a) shows the ion distribution and panel (b) shows the electron distribution. Space and velocity are expressed in units of the Debye length λ and of the initial cloud speed . The density is normalized to its peak value and displayed on a linear color scale (enhanced online). [URL: http://dx.doi.org/10.1063/1.4825339.1]doi: 10.1063/1.4825339.1.

Image of FIG. 5.
FIG. 5.

The phase space distributions from the 1D simulation at the time ω = 157: Panel (a) shows the ion distribution. Panel (b) shows the electron distribution. Space and velocity are expressed in units of the Debye length λ and of the initial cloud speed . The density is normalized to its peak value and displayed on a linear color scale.

Image of FIG. 6.
FIG. 6.

The evolution of , where is the energy density of the in-plane electric field, which has been averaged along the y-direction. Space is normalized to the electron Debye length λ and time is normalized to the ion plasma frequency ω. The color scale is linear.

Image of FIG. 7.
FIG. 7.

The in-plane electric field at the time ω = 50: The upper panel (a)shows and the lower panel (b) shows .

Image of FIG. 8.
FIG. 8.

The in-plane electric field at the time ω = 86: The upper panel (a) shows and the lower panel (b) shows .

Image of FIG. 9.
FIG. 9.

The normalized electrostatic potential computed by the 2D simulation at the time ω = 50 (a) and at ω = 86 (b). The color scale is linear.

Image of FIG. 10.
FIG. 10.

The y-integrated plasma phase space distributions at the time ω = 10: Panel (a) shows the ion distribution and panel (b) the electron distribution. Space and velocity are normalized to the electron Debye length λ and the cloud speed . The density is normalized to the peak value reached in the simulation and the color scale is linear (enhanced online). [URL: http://dx.doi.org/10.1063/1.4825339.2]doi: 10.1063/1.4825339.2.

Image of FIG. 11.
FIG. 11.

The y-integrated plasma phase space distributions at the time ω = 50: Panel (a) shows the ion distribution and panel (b) the electron distribution. Space and velocity are normalized to the electron Debye length λ and the cloud speed . The density is normalized to the peak value reached in the simulation and the color scale is linear.

Image of FIG. 12.
FIG. 12.

The y-integrated plasma phase space distributions at the time ω = 86: Panel (a) shows the ion distribution and panel (b) the electron distribution. Space and velocity are normalized to the electron Debye length λ and the cloud speed . The density is normalized to the peak value reached in the simulation and the color scale is linear.

Image of FIG. 13.
FIG. 13.

The y-integrated ion density distributions in the 1D simulation (black curve) and in the 2D simulation (blue curve) at ω = 86.

Image of FIG. 14.
FIG. 14.

The ion density distributions in a section of the 2D simulation box at the time ω = 72. Panel (a) shows the distribution of the ion beam that moves to increasing values of . Panel (b) shows the total ion density (enhanced online). [URL: http://dx.doi.org/10.1063/1.4825339.3]doi: 10.1063/1.4825339.3.

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/content/aip/journal/pop/20/10/10.1063/1.4825339
2013-10-16
2014-04-20
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Modification of the formation of high-Mach number electrostatic shock-like structures by the ion acoustic instability
http://aip.metastore.ingenta.com/content/aip/journal/pop/20/10/10.1063/1.4825339
10.1063/1.4825339
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