Nonlinear structures of strongly coupled complex plasmas in the proximity of a presheath/sheath edge

Yaroshenko, V. V.; Nosenko, V.; Hellberg, M. A.; Verheest, Frank; Thomas, Hubertus M.; Morfill, G. E.

doi:10.1088/1367-2630/12/7/073038

Cited by 9 publications

(5 citation statements)

References 28 publications

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“…This model, although originally developed for crystalline plasma structures, has recently been applied as an approximation to the equation of state for strongly coupled plasmas near the liquid-crystal phase transition. This has included the study of Bohm sheaths [15], doublelayer formation [16,17], the linear DAW mode [18], and nonlinear solitary wave structures [19,20]. This theory is seen to be in excellent agreement with the experimental observations of linear wave modes, as elegantly demonstrated by Yaroshenko et al, for example, Fig.…”

Section: Introductionsupporting

confidence: 65%

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Nonlinear dust-acoustic solitary waves in strongly coupled dusty plasmas

et al. 2012

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Dust-acoustic waves are investigated in a three-component plasma consisting of strongly coupled dust particles and Maxwellian electrons and ions. A fluid model approach is used, with the effects of strong coupling being accounted for by an effective electrostatic "pressure" which is a function of the dust number density and the electrostatic potential. Both linear and weakly nonlinear cases are considered by derivation and analysis of the linear dispersion relation and the Korteweg-de Vries equation, respectively. In contrast to previous studies using this model, this paper presents the results arising from an expansion of the dynamical form of the electrostatic pressure, accounting for the variations in its value in the vicinity of the wave.

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Section: Introductionsupporting

confidence: 65%

“…It was shown in Ref. [16] that the electrostatic temperature T is always a few orders of magnitude higher than the kinetic temperature T d of the dust in the region of the crystal-liquid phase transition. In this paper, we therefore follow this assumption and so neglect the effects of T d on the dynamics of the system.…”

Section: B Fluid Equationsmentioning

confidence: 99%

Nonlinear dust-acoustic solitary waves in strongly coupled dusty plasmas

et al. 2012

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“…A number of theoretical [19][20][21][22][23] and experimental studies [24] of strongly coupled dusty plasma systems predict modifications in the linear and nonlinear collective excitation spectra. The modulational instability (MI) is widely treated in the context of dust acoustic waves in the existing literature [25][26][27][28][29][30][31][32][33].…”

Section: Introductionmentioning

confidence: 99%

Modulational instability of a Yukawa fluid excitation under the Quasi-localization charged approximation (QLCA) framework

Dalui¹,

Kumar²,

Sharma³

2022

Preprint

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Collective response dynamics of a strongly coupled system departs from the continuum phase upon transition to the quasicrystalline phase, or formation of a Wigner lattice. The wave nonlinearity leading to the modulational instability in recent studies, for example, of a quasicrystalline dusty plasma lattice, predicts inevitable emergence of macroscopic structures from mesoscopic carrier fluctuations. The modulational instability in the quasi crystalline or amorphous phase of a strongly coupled system, uniquely accessed under the quasi-localized charge approximation (QLCA), generates a narrower instability regime for entire spectral range. In comparison to the linear one dimensional chains of strongly coupled dust grains, the longitudinal modes for quasicrystalline phase show finite distinction in terms of the instability regime. The present QLCA based analysis shows system to be stable for arbitrarily long wavelength of perturbation for full range of screening parameter κ = a/λD beyond the value κ = 0.182, where a is the inter dust separation and λD is the plasma Debye length. However, this unstable region continuously grows with increase in the dust temperature which invoke the weak coupling effects. The present results show that as compared to the one dimensional chains, the more practical 2D and 3D strongly coupled systems are potentially stable with respect to the macroscopic amplitude modulations. The development of macroscopic structures from the mesoscopic fluctuations is therefore predicted to be rather restricted for strongly coupled systems with implications for systems where strongly coupled species are in a quasi-localized (semi-solid) phase.

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“…This equation has been applied as an approximation to the equation of state for strongly coupled plasma near the liquid-crystal phase transition, where the coupling parameter need to satisfy the relation for crystallization cr , such that < cr 106.6[exp(κ)/(1 + κ + κ 2 )] [25]. This has included the studies of double-layer formation [26], [27], Bohm sheaths [28], linear and nonlinear DAWs [29]- [31], which are seen to be in excellent agreement with the experimental observations demonstrated in [29].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Dust Acoustic Waves in Strongly Coupled Quantum Dusty Plasmas

Luo

Chen

Liu

2015

IEEE Trans. Plasma Sci.

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Using a set of fluid equations to describe the inertial dust grain component in dense collisionless unmagnetized quantum dusty plasmas, where the electrons and ions obey the Thomas-Fermi density distribution, the propagation characteristics of dust acoustic solitary waves (DASWs) are studied. First, a linear dispersion of dust acoustic wave (DAW) is obtained, and it is shown that the DAW is modified by a strongly coupled parameter. Then for small amplitude solitary waves, the Korteweg-de Vries equation is obtained by applying the reductive perturbation technique. For arbitrary amplitude solitary waves, the Sagdeev potential method is employed and the Sagdeev potential is analyzed. In both cases, the effect of dust coupling parameters on the characteristics of DASWs in our system are analyzed.Index Terms-Dust acoustic waves (DAWs), quantum dusty plasma, strongly coupled regime.

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Nonlinear structures of strongly coupled complex plasmas in the proximity of a presheath/sheath edge

Cited by 9 publications

References 28 publications

Nonlinear dust-acoustic solitary waves in strongly coupled dusty plasmas

Nonlinear dust-acoustic solitary waves in strongly coupled dusty plasmas

Modulational instability of a Yukawa fluid excitation under the Quasi-localization charged approximation (QLCA) framework

Nonlinear Dust Acoustic Waves in Strongly Coupled Quantum Dusty Plasmas

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