Effect of ionic temperature on the modulational instability of ion acoustic waves in a collisionless plasma

Durrani, I.R.; Murtaza, G.; Rahman, H. U.; Azhar, I. A.

doi:10.1063/1.862628

Cited by 30 publications

(15 citation statements)

References 8 publications

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“…2). Very short wavelengths are therefore also stable in the "hot" ion model (not true for , where ) and the instability region shrinks as decreases with increasing ion temperature , in agreement with IAW results [23]. The presence of negative dust results in a narrower stability region at low (e.g., lower ); negative dust therefore destabilizes long wavelength DIAW.…”

Section: B Amplitude Modulation-numerical Analysissupporting

confidence: 68%

“…Reviewing a few noteworthy results, electron plasma modes have been shown to be stable against parallel modulation [20]; the ion plasma modes do as well, yet only for perturbations below a specific wavenumber threshold [24]. Ion acoustic modes are stable to parallel modulation [18]- [22] for wavelengths above a specific threshold, which is seen to increase if one takes into account finite-temperature effects [23]- [25] or oblique amplitude modulation [26]- [28]. These results have been confirmed by kinetic-theoretical studies [29]- [31], for ion-acoustic waves in e-i plasmas.…”

Section: Introductionmentioning

confidence: 98%

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Modulated Wave Packets and Envelope Solitary Structures in Complex Plasmas

Kourakis

Shukła

2004

IEEE Trans. Plasma Sci.

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A theoretical study is presented of the nonlinear amplitude modulation of waves propagating in unmagnetized plasmas contaminated by charged dust particles. Distinct well-known dusty plasma modes are explicitly considered, namely, the dust-acoustic wave, the dust-ion acoustic wave, and transverse dust-lattice waves. Using a multiple-scale technique, a nonlinear Schrödinger-type equation is derived, describing the evolution of the wave amplitude. A stability analysis reveals the possibility for modulational instability to occur, possibly leading to the formation of different types of envelope-localized excitations (solitary waves), under conditions which depend on the wave dispersion laws and intrinsic dusty plasma parameters.

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Section: B Amplitude Modulation-numerical Analysissupporting

confidence: 68%

Section: Introductionmentioning

confidence: 98%

Modulated Wave Packets and Envelope Solitary Structures in Complex Plasmas

Kourakis

Shukła

2004

IEEE Trans. Plasma Sci.

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“…ω −1 p,α = (4πn α,0 q 2 α /m α ) −1/2 ) and r 0 = c * t 0 ; T α is the fluid temperature (so pressure at equilibrium is: 410 I. Kourakis and P. K. Shukla: Localized envelope modulated electrostatic wavepackets p 0 = n α,0 k B T α ), and T * is an effective temperature (related to the background considered), to be determined for each problem under consideration (k B is Boltzmann's constant). The temperature ratio T α /T * is denoted by σ , in this "warm model" (Chan and Seshadri, 1975;Durrani et al, 1979) (the so-called "cold model" is recovered for σ = 0; see that Eq. (6) then becomes obsolete).…”

Section: Reduced Descriptionmentioning

confidence: 99%

Exact theory for localized envelope modulated electrostatic wavepackets in space and dusty plasmas

Kourakis

Shukła

2005

Nonlin. Processes Geophys.

145

161

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Abstract. Abundant evidence for the occurrence of modulated envelope plasma wave packets is provided by recent satellite missions. These excitations are characterized by a slowly varying localized envelope structure, embedding the fast carrier wave, which appears to be the result of strong modulation of the wave amplitude. This modulation may be due to parametric interactions between different modes or, simply, to the nonlinear (self-)interaction of the carrier wave.A generic exact theory is presented in this study, for the nonlinear self-modulation of known electrostatic plasma modes, by employing a collisionless fluid model. Both cold (zero-temperature) and warm fluid descriptions are discussed and the results are compared. The (moderately) nonlinear oscillation regime is investigated by applying a multiple scale technique. The calculation leads to a Nonlinear Schrödinger-type Equation (NLSE), which describes the evolution of the slowly varying wave amplitude in time and space. The NLSE admits localized envelope (solitary wave) solutions of bright-(pulses) or dark-(holes, voids) type, whose characteristics (maximum amplitude, width) depend on intrinsic plasma parameters. Effects like amplitude perturbation obliqueness (with respect to the propagation direction), finite temperature and defect (dust) concentration are explicitly considered. Relevance with similar highly localized modulated wave structures observed during recent satellite missions is discussed.

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“…/ is the Debye length. In temperature effects [45][46][47] or considers an oblique modulation of the wave amplitude [48,49].…”

Section: Modulational Instability Analysismentioning

confidence: 99%

Modulation and nonlinear evolution of multi-dimensional Langmuir wave envelopes in a relativistic plasma

Shahmansouri

Misra

2016

Physics of Plasmas

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The modulational instability (MI) and the evolution of weakly nonlinear two-dimensional (2D) Langmuir wave (LW) packets are studied in an unmagnetized collisionless plasma with weakly relativistic electron flow. By using a 2D self-consistent relativistic fluid model and employing the standard multiple-scale technique, a coupled set of Davey-Stewartson (DS)-like equations is derived which governs the slow modulation and the evolution of LW packets in relativistic plasmas. It is found that the relativistic effects favor the instability of LW envelopes in the   k plane, where k is the wave number and    π θ 0   the angle of modulation. It is also found that as the electron thermal velocity or  increases, the growth rate of MI increases with cutoffs at higher wave numbers of modulation. Furthermore, in the nonlinear evolution of the DS-like equations, it is seen that with an effect of the relativistic flow, a Gaussian wave beam collapses in a finite time, and the collapse can be arrested when the effect of the thermal pressure or the relativistic flow is slightly relaxed. The present results may be useful to the MI and the formation of localized LW envelopes in cosmic plasmas with a relativistic flow of electrons.

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Effect of ionic temperature on the modulational instability of ion acoustic waves in a collisionless plasma

Cited by 30 publications

References 8 publications

Modulated Wave Packets and Envelope Solitary Structures in Complex Plasmas

Modulated Wave Packets and Envelope Solitary Structures in Complex Plasmas

Exact theory for localized envelope modulated electrostatic wavepackets in space and dusty plasmas

Modulation and nonlinear evolution of multi-dimensional Langmuir wave envelopes in a relativistic plasma

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