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Experimental evidence of ion acoustic soliton chain formation and validation of nonlinear fluid theory
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10.1063/1.4810794
/content/aip/journal/pop/20/6/10.1063/1.4810794
http://aip.metastore.ingenta.com/content/aip/journal/pop/20/6/10.1063/1.4810794

Figures

Image of FIG. 1.
FIG. 1.

(a) Graphical representation of IDP for short wavelength ( ) case and long wavelength ( ) case , . (b) Fourier spectrum of these density perturbations in -space. The vertical dashed line corresponds to the limit , which gives for and divides the perturbations in short and long wavelength regimes.

Image of FIG. 2.
FIG. 2.

Schematic diagrams showing some of the steps during formation and evolution of IA pulses for the case of short wavelength IDP.

Image of FIG. 3.
FIG. 3.

Spatial and temporal evolution of electrostatic potentials for (Run-2). The upper dark blue bands represent the propagation path ofIA oscillations. The dark red bands correspond to IA pulses propagating opposite to each other. The inset shows Langmuir wave packet with distinct wave structures.

Image of FIG. 4.
FIG. 4.

dispersion diagrams during (a) and (b) for , (Run-2). It shows presence of both Langmuir and IA modes. The speed of Langmuir mode (IA mode) estimated from their standard linear dispersion equations (spatial temporal propagation) are shown with upper (lower) slanted dashed lines. The electron plasma frequency is shown with horizontal black dotted line at .

Image of FIG. 5.
FIG. 5.

Snapshots of (a) electron and ion densities (b) electric field and (c) electrostatic potential associated with IA soliton for for Run-2. The same parameters are shown in (d)–(f) for . Here, the profiles are associated with the solitary pulse propagating in positive –direction.

Image of FIG. 6.
FIG. 6.

Schematic diagrams illustrate some of the steps during formation and evolution of chains of multiple IA solitons in case of long wavelength IDP.

Image of FIG. 7.
FIG. 7.

Spatial and temporal evolution of electrostatic potentials for (Run-7). The upper dark blue bands represent the propagation path of IA oscillations. The red bands correspond to chain of IA pulses propagating opposite to each other. The inset shows Langmuir wave packet with distinct waves. The horizontal dotted lines at and correspond to formation of two unstable IA pulses and initiation of wave breaking, respectively.

Image of FIG. 8.
FIG. 8.

dispersion diagrams during (a) , (b) , (c) , and (d) for the simulation Run-7. The dispersion curves show IA mode. The slanted dotted lines represent the average speed of fastest IA soliton in the chain during their stability.

Image of FIG. 9.
FIG. 9.

Snapshots of (a) electron and ion densities (b) electric field and (c) electrostatic potential associated with chains of IA solitons for for Run-7. The same parameters are shown in (d)–(f) for . Here, the profiles are associated with the solitons propagating in positive –direction.

Image of FIG. 10.
FIG. 10.

Plots of average amplitude and width as a function of speed for IA solitons established in the simulation system during their stability along with the amplitude and width obtained from nonlinear fluid theory for respective speeds.

Image of FIG. 11.
FIG. 11.

Time evolution of electrostatic energy and half of kinetic energy of electrons for the long wavelength IDP simulations (a) Run-4, (b) Run-5, (c) Run-6, and (d) Run-7. The profile of electrostatic potential (propagating in positive –direction) at time close to for respective simulation runs (e) Run-4, , (f) Run-5, (g) Run-6, , and (h) Run-7, .

Image of FIG. 12.
FIG. 12.

Time evolution of electrostatic energy and half of kinetic energy of electrons for short wavelength IDP simulations (a) Run-1, (b) Run-2, and (c) Run-3.

Tables

Generic image for table
Table I.

Simulation parameters for different run.

Generic image for table
Table II.

IA soliton properties during their stability from fluid simulations along with corresponding estimates from nonlinear fluid theory.

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/content/aip/journal/pop/20/6/10.1063/1.4810794
2013-06-14
2014-04-25
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Experimental evidence of ion acoustic soliton chain formation and validation of nonlinear fluid theory
http://aip.metastore.ingenta.com/content/aip/journal/pop/20/6/10.1063/1.4810794
10.1063/1.4810794
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