Solitary wave and modulational instability in a strongly coupled semiclassical relativistic dusty pair plasma with density gradient

Chaudhuri, Sheli Sinha; Chowdhury, K.L.; Chowdhury, Abhishek Dutta

doi:10.1007/s12043-019-1753-z

Cited by 2 publications

(1 citation statement)

References 25 publications

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“…For external (plane wave) perturbations of amplitude, the modulated envelope solitary wave may breakdown and results the modulational instability (this happens due to the second harmonic) [28]. Among the studies addressing the MI in strongly coupled regime of the dust, a limited number has accounted for an explicit localization by treating a linear, onedimensional chain of the dust grains [29][30][31] whereas in other studies a more indirect inclusion of strong coupling is done by letting an effective dust temperature [32] represent the strong coupling effect [33][34][35][36][37][38][39][40]39]. Both these approaches treat intrinsically one-dimensional setups.…”

Section: Introductionmentioning

confidence: 99%

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

Dalui¹,

Kumar²,

Sharma³

2023

Phys. Scr.

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Collective response of a strongly coupled system departs from that in continuum phase upon transition to the quasi-crystalline phase, or a Wigner lattice. The nonlinearity driven modulational instability, for example, of a quasi-crystalline dusty plasma lattice wave, is predicted to inevitably grow macroscopic envelope structures at the expense of a mesoscopic carrier wave. The modulational instability in the dimensionally extended quasi-crystalline or amorphous phase of a strongly coupled system, uniquely accessed by the quasi-localized charge approximation (QLCA) formulation, is shown to offer conditional stability over the entire range of spectral scales by prescribing a narrower instability regime. In distinction from the excitations of linear one-dimensional chain of strongly coupled dust grains, the longitudinal modes of a quasi-crystalline phase incorporated by means of a pair correlation function in the present QLCA based treatment shows the lattice excitations to be stable for arbitrarily long wavelengths beyond a finite value of screening parameter κ = a/λ D = 0.182 at low enough temperature, where a is the inter dust separation and λ D is the plasma Debye length. However, this unstable domain of the parameter space does grow with increase in the dust temperature which invokes the weak coupling-like effect. The present results show that in comparison to the one-dimensional chains, the dimensionally extended strongly coupled lattice are potentially stable with respect to the macroscopic amplitude modulations. Results offer a greater handle over the macroscopic structures growing from the mesoscopic fluctuations, a mechanism which underlies a variety of processes, ranging from the barrier formation in strongly coupled turbulence to the highly localized modification, induced by collective excitation, of the ultracold ions trapped in strong electromagnetic fields. The existence of the growth rate of instability as well as the maximum modulational growth rate of instability has been investigated for a wide range of values of the screening parameter.

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Section: Introductionmentioning

confidence: 99%

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

Dalui¹,

Kumar²,

Sharma³

2023

Phys. Scr.

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Dust acoustic solitary waves in dusty plasma with nonuniform temperature

Pakzad

2023

Int. J. Mod. Phys. B

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In this paper, the dust acoustic wave is studied in conditions where the dust temperature is not constant. This model includes negatively charged dust particles and thermal ions. The reductive perturbation technique is used and the new point in this study is the nonuniformity of the plasma temperature. The nonconstancy of the temperature is entered as a first-order perturbation in the calculations, and finally the modified Korteweg–de Vries (mKdV) equation is derived. The solution of the modified KdV equation clarifies the change in soliton shape of the wave when it moves in the perturbation plasma. We show how the soliton wave undergoes deformation and amplitude reduction during propagation when it encounters a region with a different temperature. The output of this research can be effective to better understand the wave behavior in a real plasma with nonuniform temperature.

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Solitary wave and modulational instability in a strongly coupled semiclassical relativistic dusty pair plasma with density gradient

Cited by 2 publications

References 25 publications

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

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

Dust acoustic solitary waves in dusty plasma with nonuniform temperature

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