Large amplitude solitary waves in a multicomponent plasma with negative ions

Nakamura, Yoshiharu; Tsukabayashi, Isao; Ludwig, G. O.; Ferreira, J. L.

doi:10.1016/0375-9601(85)90162-8

Cited by 35 publications

(12 citation statements)

References 10 publications

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“…4 and 5, some of the predicted rarefactive solitons are of large amplitude, and would thus not have been seen. On the other hand, their data, even for the large amplitude soliton cases, [25][26][27] have been presented in a way which does not make it possible to compare with our predictions of existence regimes in the parameter space ͑M ep , f͒.…”

Section: ͑23͒mentioning

confidence: 94%

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Note on rarefactive and compressive ion-acoustic solitons in a plasma containing two ion species

et al. 2005

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In a recent article the conditions for the existence of solitons in a plasma containing two ion species were analyzed within the framework of a fully nonlinear treatment. In particular, an upper limit for the critical collective Mach number (above which rarefactive solitons cease to exist) was obtained from the requirement that a charge neutral point in the rarefactive regime must be formed before the electron density, ne, experiences its “lid,” i.e., where ne→0. Although this is a necessary condition it is not sufficient. In the present work a sufficient condition is derived by requiring that a rarefactive equilibrium point be reached before the limit is imposed by either the electron lid or the infinite compression of the second ion species. This requirement, along with the usual necessary condition for soliton formation, provides the parameter space window for the existence of rarefactive solitons. The analysis has also been generalized to include ions of finite mass of various charge for both the rarefactive and compressive cases.

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Section: ͑23͒mentioning

confidence: 94%

“…However, Nakamura and co-workers [21][22][23][24][25][26][27][28][29] have carried out a number of experiments on ion-acoustic solitons in negative ion plasmas, in which the positive particles are more massive than the negative species. The plasmas are generated using argon and sulfur hexafluoride gas.…”

Section: ͑23͒mentioning

confidence: 97%

Note on rarefactive and compressive ion-acoustic solitons in a plasma containing two ion species

et al. 2005

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“…The Sagdeev pseudopotential method has been applied to a great variety of electrostatic structures in different plasma models, and in what follows, we can only quote a small selection of the relevant papers. The older literature was mostly concerned with ion-acoustic modes, [9][10][11][12][13][14][15][16] whereas newer applications have looked at dust modified ion-acoustic 17 or dust-acoustic [18][19][20] large-amplitude structures in dusty plasmas, where the charged dust essentially plays the role of an additional heavy ion species.…”

Section: Introductionmentioning

confidence: 99%

On the existence of ion-acoustic double layers in two-electron temperature plasmas

et al. 2006

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Earlier Sagdeev pseudopotential treatments of ion-acoustic double layers in plasmas with two electron populations were based on a model in which both electron densities were described by isothermal Boltzmann distributions. Using a more recent fluid-dynamical approach, with polytropic equations of state indices γj, one finds analytically that no double layers can be formed for γj⩾3∕2, due to total rarefaction of the cooler electrons or infinite compression of the ions. For γj<3∕2, rarefactive double layers occur, but, just below 3/2, at unrealistically small cool electron densities or large Mach numbers. As γj decreases towards 1, these constraints become less restrictive and go over smoothly to those known from Boltzmann studies. Contrary to what appears in the literature, very weak compressive double layers can also be found for Boltzmann electrons, but only for soliton conditions barely above the existence threshold; i.e., marginally super-ion-acoustic. Any slight increase in the critical Mach number destroys the possibility of having positive double layers, and, within the limits of numerical accuracy, no window could be found for γj≠1, where compressive double layers exist.

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“…studied soliton propagation in a positive ion–negative ion plasma (Nakamura & Tsukabayashi 1984; Nakamura et al. 1985). Cooney et al.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamics of ion acoustic waves in quantum pair-ion plasmas

et al. 2015

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The nonlinear properties of the ion acoustic waves (IAWs) in a three-component quantum plasma comprising electrons, and positive and negative ions are investigated analytically and numerically by employing the quantum hydrodynamic (QHD) model. The Sagdeev pseudopotential technique is applied to obtain the small-amplitude soliton solution. The effects of the quantum parameter$H$, positive to negative ion density ratio${\it\beta}$and Mach number on the nonlinear structures are investigated. It is found that these factors can significantly modify the properties of the IAWs. The existence of quasi-periodic and chaotic oscillations in the system is established. Switching from quasi-periodic to chaotic is possible with the variation of Mach number or quantum parameter$H$.

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Large amplitude solitary waves in a multicomponent plasma with negative ions

Cited by 35 publications

References 10 publications

Note on rarefactive and compressive ion-acoustic solitons in a plasma containing two ion species

Note on rarefactive and compressive ion-acoustic solitons in a plasma containing two ion species

On the existence of ion-acoustic double layers in two-electron temperature plasmas

Nonlinear dynamics of ion acoustic waves in quantum pair-ion plasmas

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