Stability of oblique modulation of dust-acoustic waves in a warm dusty plasma with dust charge variation

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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“…8). A similar qualitative behaviour was witnessed for the DA mode (Tang and Xue, 2003;Kourakis and Shukla, 2004a).…”

Section: Dust Effectssupporting

confidence: 54%

“…The oblique modulation of the "dust-ion acoustic" and dustacoustic ES plasma modes (Shukla and Mamun, 2002) was studied in (Amin et al, 1998;Shukla, 2003a, 2004b) and (Tang and Xue, 2003;Kourakis and Shukla, 2004a), respectively. The generic profile outlined above was here also recovered.…”

Section: Dust Effectsmentioning

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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“…Dust charge was assumed to be constant and the plasma geometry was taken to be Cartesian and infinite, for simplicity. Thus, our work complements the investigation by Tang and Xue [38] who examined only the modulational instability of DAWs against oblique modulations, including an ad hoc charging equation and a specific form of the adiabatic law for warm charged dust grains which are negatively charged. The present paper, on the other hand, discusses the multi-dimensional modulational instabilities of dust acoustic waves in plasmas containing both negatively and positively charged dust grains, as well as provides a detailed discussion of various types of dust acoustic envelope solitons and their respective parameter regions of existence, leaving the choice of the value of the parameter γ = c p /c V free in the algebra.…”

Section: Discussionmentioning

confidence: 93%

“…3 /A 1 can be directly computed from (36) - (38) above; the lengthy final expressions are omitted here.…”

Section: E Derivation Of the Nonlinear Schrödinger Equationmentioning

confidence: 99%

Oblique Amplitude Modulation of Dust-Acoustic Plasma Waves

Kourakis¹,

Shukła

2004

Phys. Scr.

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Theoretical and numerical studies are presented of the nonlinear amplitude modulation of dustacoustic (DA) waves propagating in an unmagnetized three component, weakly-coupled, fully ionized plasma consisting of electrons, positive ions and charged dust particles, considering perturbations oblique to the carrier wave propagation direction. The stability analysis, based on a nonlinear Schrödinger-type equation (NLSE), shows that the wave may become unstable; the stability criteria depend on the angle θ between the modulation and propagation directions. Explicit expressions for the instability rate and threshold have been obtained in terms of the dispersion laws of the system. The possibility and conditions for the existence of different types of localized excitations have also been discussed.

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“…10,13,19,20 Furthermore, there continues to be much theoretical effort to explore the role of nonlinear processes in this system. [21][22][23] In its simplest form, the dust acoustic wave is a linear, compressional wave that can arise in a plasma due to the presence of ions, electrons, and negatively charged microparticles. Generally, the dust acoustic dispersion relationship is FIG.…”

Section: Stereo-piv Measurements Of Dust Acoustic Wavesmentioning

confidence: 99%

Applications of stereoscopic particle image velocimetry: Dust acoustic waves and velocity space distribution functions

Thomas

Williams

2006

Physics of Plasmas

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Two-dimensional particle image velocimetry (2D-PIV) techniques have been applied to dusty plasmas for the past 5 years. During that time, 2D-PIV has been used to provide detailed measurements of microparticle transport in dusty plasmas. However, a measurement of the third velocity vector direction is necessary to fully understand the microparticle transport. In this paper, stereoscopic particle image velocimetry (stereo-PIV) is used as a technique for obtaining all three-velocity vector components. This paper discusses the application of stereo-PIV techniques to measurements of dust acoustic waves and velocity space distribution functions in dusty plasmas.

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Stability of oblique modulation of dust-acoustic waves in a warm dusty plasma with dust charge variation

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Cited by 22 publications

References 14 publications

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

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

Oblique Amplitude Modulation of Dust-Acoustic Plasma Waves

Applications of stereoscopic particle image velocimetry: Dust acoustic waves and velocity space distribution functions

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