Effect of trapping in degenerate quantum plasmas

Shah, H. A.; Qureshi, M. N. S.; Цинцадзе, Н. Л.

doi:10.1063/1.3368831

Cited by 61 publications

(43 citation statements)

References 26 publications

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“…By following the method of integration used by Shah et al (2010), the expression for total number density n including trapped electrons is obtained for a Fermi-Dirac distribution for a fully degenerate plasma and is given by…”

Section: Mathematical Formulationmentioning

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: Mathematical Formulationmentioning

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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“…For finite-temperature trapped degenerate electrons with normalized density of form n e = (1 + φ) 3/2 + T 2 (1 + φ) −1/2 [39] and classical ion pressure P i = σn γ with σ = T i /T F e ≪ 1 and ǫ = k B T F e , we get, k γσ + 2/(3 − T 2 ) < M <ω γσ + 2/(3 − T 2 ). Note that for the limit T → 0 (zero-temperature Fermi electron-gas) the results given for the zerotemperature Thomas-Fermi electron distribution is deduced.…”

Section: Finite-temperature Thomas-fermi Electron-gasmentioning

confidence: 99%

Generalized matching criterion for electrostatic ion solitary propagations in quasineutral magnetized plasmas

Akbari-Moghanjoughi

2011

Physics of Plasmas

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Based on the magnetohydrodynamics (MHD) model, an exact arbitrary-amplitude general solution is presented for oblique propagation of solitary excitations in two-and three-component quasineutral magnetoplasmas, adopting the standard pseudopotential approach. It is revealed that the necessary matching criterion of existence of such oblique nonlinear propagations in two and three-fluid magnetoplasmas share global features. These features are examined for the cases of electron-ion and electron-positron-ion magnetoplasmas with diverse equations of state. This study also reveals that for electron-ion magnetoplasmas with plasma-frequencies larger than the cyclotron-frequency (B 0 < 0.137 √ n 0 ) a critical-angle of β cr = arccos B 0 /(0.137 √ n 0 ) exists, at which propagation of solitary excitation is not possible. Coriolis effect on allowed soliton matching condition in rotating magnetoplasmas is also considered as an extension to this work. Current investigation can have important implications for nonlinear wave dynamics in astrophysical as well as laboratory magnetoplasmas.

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“…ese numbers used to calculate the Fermi energy and the Fermi temperature as 푇 퐹 = 9.14108 × 10 8 K and have taken the electron temperature 푇 << 푇 [29].…”

Section: Basic Set Of Equationsmentioning

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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Effect of trapping in degenerate quantum plasmas

Cited by 61 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

Generalized matching criterion for electrostatic ion solitary propagations in quasineutral magnetized plasmas

Degeneracy in Magneto-Active Dense Plasma

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