Formation and Interaction of Ion-Acoustic Solitions

Ikezi, H.; Taylor, Robert J.; Baker, D. R.

doi:10.1103/physrevlett.25.11

Cited by 594 publications

(237 citation statements)

References 9 publications

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“…For example, sharper density features may lead to the excitation of shocks. 54,55 Plasmas with initial localized density enhancements should produce solitons. 37,38 Because of the ability to measure the ion velocity distribution, we can study the crossover from the hydrodynamic to kinetic regime, such as by varying the density of ions and length scale of the initial gap.…”

Section: Discussionmentioning

confidence: 99%

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Ion holes in the hydrodynamic regime in ultracold neutral plasmas

et al. 2013

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We describe the creation of localized density perturbations, or ion holes, in an ultracold neutral plasma in the hydrodynamic regime, and show that the holes propagate at the local ion acoustic wave speed. We also observe the process of hole splitting, which results from the formation of a density depletion initially at rest in the plasma. One-dimensional, two-fluid hydrodynamic simulations describe the results well. Measurements of the ion velocity distribution also show the effects of the ion hole and confirm the hydrodynamic conditions in the plasma. V C 2013 AIP Publishing LLC.

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Section: Discussionmentioning

confidence: 99%

“…This may make it possible to enter the super-sonic regime, and thereby study the formation and interaction of shocks. 54,55 We plan to pursue this in a future investigation.…”

Section: -5mentioning

confidence: 99%

Ion holes in the hydrodynamic regime in ultracold neutral plasmas

et al. 2013

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“…When the nonlinear effects are concerned, the formation of ionacoustic solitons may be possible due to a delicate balance between the nonlinearity and the dispersion which also has been anticipated theoretically via the derivation of Korteweg-de Vries (KdV) or Zakharov-Kuznetsov (ZK) equations for small-amplitude perturbations [14,15], and via the Sagdeev potential formalism, accounting for the arbitrary amplitude excitations [16]. Existence of these nonlinear structures was experimentally confirmed [17].…”

Section: Introductionmentioning

confidence: 99%

Modulation of ion-acoustic waves in a nonextensive plasma with two-temperature electrons

2015

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We study the amplitude modulation of ion-acoustic wave (IAW) packets in an unmagnetized electron-ion plasma with two-temperature (cool and hot) electrons in the context of the Tsallis' nonextensive statistics. Using the multiple-scale technique, a nonlinear Schrödinger (NLS) equation is derived which governs the dynamics of modulated wave packets. It is shown that in nonextensive plasmas, the IAW envelope is always stable for long-wavelength modes (k → 0) and unstable for short-wavelengths with k > ∼ 1. However, the envelope can be unstable at an intermediate scale of perturbations with 0 < k < 1. Thus, the modulated IAW packets can propagate in the form of bright envelope solitons or rogons (at small-and medium scale perturbations) as well as dark envelope solitons (at large scale). The stable and unstable regions are obtained for different values of temperature and density ratios as well as the nonextensive parameters qc and q h for cool and hot electrons. It is found that the more (less) the population of superthermal cool (hot) electrons, the smaller is the growth rate of instability with cutoffs at smaller wave numbers of modulation.

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“…Subsequently, the nonlinear theory of IA waves was developed by a number of authors [3][4][5][6][7][8][9][10][11][12][13][14][15]. Experimental results of Ikezi et al [16], Nakamura and Tsukabayashi [17], Nakamura and Tsukabayashi [18], Nakamura et al [19], Nishida and Nagasawa [20], Nakamura [21] and Cooney et al [22] confirmed the existence of IA waves.…”

Section: Introductionmentioning

confidence: 56%

“…and solving (15), (16), and (17), we get a quadratic equation for n 2 i , and the solution of the final equation of n i can be put in the following form:…”

Section: Energy Integralmentioning

confidence: 99%