Magnetosonic waves in a quantum plasma with arbitrary electron degeneracy

Haas, Fernando; Mahmood, S.

doi:10.1103/physreve.97.063206

Cited by 17 publications

(11 citation statements)

References 26 publications

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“…[18][19][20][21][22][23] This Bohm force term is responsible for quantum tunnelling effects in a quantum plasma associated with electrons and positrons due to their wave-like nature. In case of a non-degenerate plasma, → 1, while for the fully degenerate electrons/positrons case, = 1/3 for low-frequency waves such as ion-acoustic waves and = 3 for high-frequency waves such as quantum Langmuir waves, which gives the Bohm-Pines dispersion relation.…”

Section: Basic Set Of Equationsmentioning

confidence: 99%

“…In case of a non-degenerate plasma, → 1, while for the fully degenerate electrons/positrons case, = 1/3 for low-frequency waves such as ion-acoustic waves and = 3 for high-frequency waves such as quantum Langmuir waves, which gives the Bohm-Pines dispersion relation. [18][19][20][21][22][23] This Bohm force term is responsible for quantum tunnelling effects in a quantum plasma associated with electrons and positrons due to their wave-like nature. In our low-frequency plasma case, we have = 1/3.…”

Section: Basic Set Of Equationsmentioning

confidence: 99%

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Two‐dimensional magnetosonic shock wave propagation in dense electron–positron–ion plasmas

Hussain

Abdykian

Mahmood

2018

Contributions to Plasma Physics

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Two-dimensional (2D) magnetosonic wave propagation in magnetized quantum dissipative plasmas is studied. The plasma system is comprised of inertial ions, inertia-less electrons, and positrons. The multi-fluid quantum hydrodynamic model is used, in which quantum statistical and quantum tunnelling effects of electrons and positrons are included. Reductive perturbation analysis is performed to derive the Zabolotskaya-Khokhlov equation for the 2D propagation of a magnetosonic shock wave in a magnetized qauntum plasma. The effects of varying the different plasma parameters such as positron density and magnetic field intensity on the propagation characteristics of magnetosonic shock waves are discussed with non-relativistic degenerate plasma parameters in astrophysical plasma situations.

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Section: Basic Set Of Equationsmentioning

confidence: 99%

Section: Basic Set Of Equationsmentioning

confidence: 99%

Two‐dimensional magnetosonic shock wave propagation in dense electron–positron–ion plasmas

Hussain

Abdykian

Mahmood

2018

Contributions to Plasma Physics

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“…[15] Using this same approach of Melrose linear and nonlinear properties of ion-acoustic and magnetosonic waves were studied by Haas and Shahzad, [16,17] with arbitrary degree of temperature degeneracy. [15] Using this same approach of Melrose linear and nonlinear properties of ion-acoustic and magnetosonic waves were studied by Haas and Shahzad, [16,17] with arbitrary degree of temperature degeneracy.…”

Section: Introductionmentioning

confidence: 99%

“…nearly non-degenerate (NND), Fj ≫ 1 or (T Fj ≪ T j ) limits. [15] Using this same approach of Melrose linear and nonlinear properties of ion-acoustic and magnetosonic waves were studied by Haas and Shahzad, [16,17] with arbitrary degree of temperature degeneracy.…”

Section: Introductionmentioning

confidence: 99%

Magnetoacoustic waves with effect of arbitrary degree of temperature and spin degeneracy in electron‐positron‐ion plasmas

Ali

Ahmad

Ikram

2019

Contributions to Plasma Physics

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The linear properties of magnetosonic waves are studied in nearly degenerate and nearly non-degenerate quantum plasmas composed of electrons, positrons and ions in the presence of spin-1 2 effect. Using the fluid equations, a generalized dispersion relation for perpendicular and oblique propagation is derived. It is found that degree of temperature and spin degeneracy modify the dispersive properties of the given modes. The results of analysis are beneficial for understanding the collective phenomena in dense quantum astrophysical plasmas. K E Y W O R D Sdispersion relation, ion-acoustic waves, magnetosonic waves, quantum astrophysical plasmas

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“…Nonlinear magnetosonic waves in quantum dissipative magnetized plasmas are investigated in Masood et al (2014). Linear and weak nonlinear propagation of magnetosonic waves in a degenerate plasma using perturbation theory was formulated in Haas & Mahmood (2018), modified KdV was derived having coefficients which are a strong function of quantum effects. Various linear and nonlinear aspects of magnetoacoustic waves are investigated (Masood et al 2009;Masood, Jehan & Mirza 2010;Lui et al 2011;Lui, Wang & Yang 2013;Iqbal et al 2019).…”

Section: Introductionmentioning

confidence: 99%

Magnetic field quantization in pulsars

2020

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Magnetic field quantization is an important issue for degenerate environments such as neutron stars, radio pulsars and magnetars etc., due to the fact that these stars have a magnetic field higher than the quantum critical field strength of the order of $4.4\times 10^{13}~\text{G}$ , accordingly, the cyclotron energy may be equal to or even much more than the Fermi energy of degenerate particles. We shall formulate here the exotic physics of strongly magnetized neutron stars, known as pulsars, specifically focusing on the outcomes of the quantized magnetic pressure. In this scenario, while following the modified quantum hydrodynamic model, we shall investigate both linear and nonlinear fast magnetosonic waves in a strongly magnetized, weakly ionized degenerate plasma consisting of neutrons and an electron–ion plasma in the atmosphere of a pulsar. Here, linear analysis depicts that sufficiently long, fast magnetosonic waves may exist in a weakly dispersive pulsar having finite phase speed at cutoff. To investigate one-dimensional nonlinear fast magnetosonic waves, a neutron density expression as a function of both the electron magnetic and neutron degenerate pressures, is derived with the aid of Riemann’s wave solution. Consequently, a modified Korteweg–de Vries equation is derived, having a rarefractive solitary wave solution. It is found that the basic properties such as amplitude, width and phase speed of the fast magnetoacoustic waves are significantly altered by the electron magnetic and the neutron degenerate pressures. The results of this theoretical investigation may be useful for understanding the formation and features of the solitary structures in astrophysical compact objects such as pulsars, magnetars and white dwarfs etc.

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Magnetosonic waves in a quantum plasma with arbitrary electron degeneracy

Cited by 17 publications

References 26 publications

Two‐dimensional magnetosonic shock wave propagation in dense electron–positron–ion plasmas

Two‐dimensional magnetosonic shock wave propagation in dense electron–positron–ion plasmas

Magnetoacoustic waves with effect of arbitrary degree of temperature and spin degeneracy in electron‐positron‐ion plasmas

Magnetic field quantization in pulsars

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