Effect of trapping in a degenerate plasma in the presence of a quantizing magnetic field

Shah, H. A.; Iqbal, M. J.; Цинцадзе, Н. Л.; Masood, W.; Qureshi, M. N. S.

doi:10.1063/1.4752416

Cited by 48 publications

(35 citation statements)

References 26 publications

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“…In classical plasmas, the effect of trapping on the vortex formation was investigated and the modified Hasegawa-Mima equation was derived (Siddiqui et al 2008). 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).…”

Section: Introductionmentioning

confidence: 98%

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: 98%

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 plasmas, in order to further improve these models, the electron spin is taken into account, which introduces a magnetic dipole force, spin precession, and spin magnetization currents into the picture [1][2][3][4].…”

Section: Introductionmentioning

confidence: 99%

“…Degenerate plasmas also play an important role in dense astrophysical objects like plasmas in the interior of stars and neutron stars [20]. e effect of trapping in a degenerate investigated in a plasma comprises degenerate electrons and nondegenerate ions in the presence of a quantizing magnetic field [4]. e usual perturbative treatment of magnetic effects like Zeeman splitting of atomic energy levels in a strong field regime does not apply in such a situation, but instead, the Coulomb forces act as a perturbation to the magnetic forces.…”

Section: Introductionmentioning

confidence: 99%

Degeneracy in Magneto-Active Dense Plasma

Alyousef

Khalil

Punjabi³

2020

Advances in Mathematical Physics

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Degenerate dense plasmas are of great interest due to their important applications in modern technology and astrophysics. Such plasmas have generated a lot of interest in the last decade owing to their importance in many areas of physics such as semiconductors, metals, microelectronics, carbon nanotubes, quantum dots, and quantum wells. Besides, degenerate plasmas present very interesting features for fusion burning waves’ ignition and propagation. In this paper, we investigated the effects of static magnetic field on energy states and degeneracy of electrons in dense plasma. Using perturbation theory, two cases are considered, strongly and weakly magnetized electrons. Strong magnetic field will not eliminate completely the degeneracy, but it functions to reduce degeneracy. Perturbed energy eigenvalues ΔE are calculated to high accuracy. Besides, regardless of whether the perturbed state is degenerate or not, the energy ΔE is given by considering the average of orbital and spin coupling Ws=ℵrL→·S→ with respect to the eigenfunction Ψn,l,m,ms. Here L→ is the angular momentum vector, S→ is the spin vector of electrons, and ℵr is the energy of spin orbit coupling in plasma, which plays a crucial role in the study of energy states and degeneracy of plasma electrons.

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“…The summation above is over the Landau levels and we note here l ¼ 0 refers to the case without a quantizing magnetic field. Following the general treatment for Fermi integrals and the method outlined by Landau and Lifshitz 46 and Shah et al, 48 the total electron number density for a partially degenerate plasma can be expressed as…”

Section: Governing Equationsmentioning

confidence: 99%

Solitary structures in a spatially nonuniform degenerate plasma in the presence of quantizing magnetic field

et al. 2015

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In the present investigation, linear and nonlinear propagation of low frequency (x ( X ci ) electrostatic waves have been studied in a spatially inhomogeneous degenerate plasma with one dimensional electron trapping in the presence of a quantizing magnetic field and finite temperature effects. Using the drift approximation, formation of 1 and 2D drift ion solitary structures have been studied both for fully and partially degenerate plasmas. The theoretical results obtained have been analyzed numerically for the parameters typically found in white dwarfs for illustrative purpose. It is observed that the inclusion of Landau quantization significantly changes the expression of the electron number density of a dense degenerate plasma which affects the linear and nonlinear propagation of drift acoustic solitary waves in such a system. The present work may be beneficial to understand the propagation of drift solitary structures with weak transverse perturbation in a variety of physical situations, such as white dwarfs and laser-induced plasmas, where the quantum effects are expected to dominate. V C 2015 AIP Publishing LLC. [http://dx.

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Effect of trapping in a degenerate plasma in the presence of a quantizing magnetic field

Cited by 48 publications

References 26 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

Degeneracy in Magneto-Active Dense Plasma

Solitary structures in a spatially nonuniform degenerate plasma in the presence of quantizing magnetic field

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