Trapping effects in a self-gravitating quantum dusty plasma

Ayub, M.; Shah, H. A.; Qureshi, M. N. S.

doi:10.1088/0031-8949/84/04/045505

Cited by 11 publications

(6 citation statements)

References 45 publications

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“…The effect of trapping as a microscopic phenomenon in a degenerate plasma has also been investigated in the presence of quantizing magnetic field (Shah et al 2012). In a self-gravitating dusty quantum plasma, adiabatic trapping has also been found to play an effective role in the formation of solitary structures (Ayub et al 2011). Using two potential theory, the effect of adiabatic trapping on obliquely propagating coupled Kinetic Alfven-acoustic waves in a low β plasma was investigated (Shah et al 2013) for the first time.…”

Section: Introductionmentioning

confidence: 99%

Finite amplitude solitary structures of coupled kinetic Alfven-acoustic waves in dense plasmas

Sabeen

Shah

Masood

et al. 2014

Astrophys Space Sci

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In this paper, we have investigated the nonlinear propagating coupled Kinetic Alfven-acoustic waves in a low beta degenerate quantum plasma in the presence of trapped Fermi electrons using the quantum hydrodynamic (QHD) model. By using the two potential theory and the Sagdeev potential approach, we have investigated the formation of solitary structures for coupled kinetic Alfven-acoustic waves in the presence of quantum mechanically trapped electrons. We have shown that there are regions of propagation and non-propagation for such solitary structures. We have also highlighted the differences between the classical and quantum mechanically trapped electrons. Interestingly, it has been found that the nature of the nonlinearity for the quantum mechanically trapped electrons is different from its classical counterpart. The results presented here may have applications in white dwarf asteroseismology as well as next generation laserplasma experiments where low beta plasma condition is met.

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Section: Introductionmentioning

confidence: 99%

Finite amplitude solitary structures of coupled kinetic Alfven-acoustic waves in dense plasmas

Sabeen

Shah

Masood

et al. 2014

Astrophys Space Sci

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“…The charging process of the dust microparticles plays a significant role in a dusty plasma [12][13][14]. In recent years, many authors have investigated the propagation of a linear or nonlinear solitary wave in dusty plasmas [15][16][17][18][19][20]. Rao et al first and theoretically predicted the dust acoustic wave in a dusty plasma [21].…”

Section: Introductionmentioning

confidence: 99%

Existence and damping of dust acoustic solitary waves in a bounded geometry

et al. 2013

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The propagation of the solitary wave in a dusty plasma bounded in finite geometry has been investigated. By employing the reductive perturbation method, we obtain a quasi Korteweg-de Vries-type equation. It is noted that the larger the value of viscosity coefficient μ(0), the stronger the damping of the solitary wave. On the other hand, the larger the value of the radius of bounded geometry R, the weaker the damping of the solitary wave. It is also found that the quasisolitary wave exists. However, the solitary wave is a damping one, and it will disappear in the limited case of R→0 or μ(0)→+∞.

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“…Following up on this work, Tsintsadze developed a set of fluid equations for degenerate Fermi plasmas and discussed the dispersion relations of electrostatic waves propagating in that medium [10]. Later on, nonlinear behavior of electrostatic waves in a degenerate plasma gained substantial attention, including the effect of adiabatic trapping in the propagation of solitary waves in quantum plasmas [11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

“…expression to get an exact solution for the system, losing the fractional non-linearity in the process, to a trapping co-efficient (as in 3 2 j) [17]. In certain cases [11][12][13][14]18], ( )…”

Section: Introductionmentioning

confidence: 99%

Effect of trapping in coupled kinetic Alfven-acoustic waves in a partially degenerate plasma with quantizing magnetic field

Shah¹,

Asam²,

Iqbal³

et al. 2023

Phys. Scr.

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Inclusion of a quantizing magnetic field in a partially degenerate plasma has interesting effects on the propagation of solitary and nonlinear periodic structures in coupled kinetic Alfven acoustic waves. In this paper we use the two potential theory and investigate the nonlinear structures using Sagdeev potential approach and further analyze it using nonlinear dynamical methods. It is shown that the existence of solitary structure is sensitive to small temperature effects and quantizing magnetic field in a dense plasma with adiabatically trapped electrons. The work presented here is useful in understanding the low frequency wave propagation in a dense astrophysical environment like white dwarf stars and in low beta laboratory plasmas e.g. intense laser-plasma interactions.

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Trapping effects in a self-gravitating quantum dusty plasma

Cited by 11 publications

References 45 publications

Finite amplitude solitary structures of coupled kinetic Alfven-acoustic waves in dense plasmas

Finite amplitude solitary structures of coupled kinetic Alfven-acoustic waves in dense plasmas

Existence and damping of dust acoustic solitary waves in a bounded geometry

Effect of trapping in coupled kinetic Alfven-acoustic waves in a partially degenerate plasma with quantizing magnetic field

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