A nonlinear model for magnetoacoustic waves in dense dissipative plasmas with degenerate electrons

Masood, W.; Jahangir, R.; Eliasson, Bengt; Siddiq, M.

doi:10.1063/1.4900759

Cited by 5 publications

(6 citation statements)

References 29 publications

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“…1999; Masood et al. 2014). Careful application of these equations and similarities allow experiments to be scaled to astrophysical phenomena that have spatial and temporal scales that are greater by as much as 15–20 orders of magnitude.…”

Section: Resultsmentioning

confidence: 99%

“…2008; Masood et al. 2014). It is pertinent to mention here that when the laser hits a solid target, fast electrons are produced and such a non-thermal population plays an important role in inertial confinement fusion by fast ignition (Tabak et al.…”

Section: Resultsmentioning

confidence: 99%

“…The next generation ultra-intense laser experiments might open up new challenges for theoretical physicists. Moreover, a study of radiative blast waves in atomic cluster media using intense laser pulses has also been reported (Cowan et al 1999;Masood et al 2014). Careful application of these equations and similarities allow experiments to be scaled to astrophysical phenomena that have spatial and temporal scales that are greater by as much as 15-20 orders of magnitude.…”

Section: Resultsmentioning

confidence: 99%

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Modified Zakharov–Kuznetsov equation for a non-uniform electron–positron–ion magnetoplasma with kappa-distributed electrons

Ahmad

Masood

2015

J. Plasma Phys.

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We investigate the low-frequency (by comparison with the ion Larmor frequency) electrostatic solitary structures in a spatially non-uniform electron–positron–ion (e–p–i) magnetoplasma with non-Maxwellian electrons. A linear dispersion relation for the obliquely propagating ion acoustic drift wave is derived and it is shown that the non-Maxwellian electron population modifies the dispersion characteristics of the wave under consideration. We also carry out a nonlinear analysis and derive the modified Zakharov–Kuznetsov (MZK) equation for the coupled drift acoustic wave in a non-uniform magnetized plasma. We highlight the differences between the MZK equation and its homogeneous counterpart. We also find the solution of the MZK equation using the tangent hyperbolic method. It is observed that the electron spectral index ${\it\kappa}$, positron concentration, and propagation angle ${\it\alpha}$ alter the structure of the ion acoustic drift solitary waves. The results obtained in this paper may be beneficial to understanding the propagation characteristics of electrostatic drift solitary structures in the interstellar medium and in laboratory experiments where electron–positron plasmas have recently been created by impinging ultra-intense laser pulses on a solid density target at the Lawrence Livermore National Laboratory (LLNL).

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Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

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Modified Zakharov–Kuznetsov equation for a non-uniform electron–positron–ion magnetoplasma with kappa-distributed electrons

Ahmad

Masood

2015

J. Plasma Phys.

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“…Low frequency magnetosonic solitons are investigated in a magnetized spin-1/2 degenerate plasma, while opting for the Sagdeev potential approach (Marklund, Eliasson & Shukla 2007), where the authors found that rarefractive magnetosonic solitons may exist due to a balance between nonlinearities and the quantum diffraction term. 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.…”

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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“…[9]. Nonlinear magnetosonic waves in dense dissipative magnetized plasmas have also been studied using reductive perturbation techniques, leading to the derivation of a Zabolotskaya-Khoklov equation [10].…”

Section: Introductionmentioning

confidence: 99%

Magnetosonic waves in a quantum plasma with arbitrary electron degeneracy

Haas

Mahmood

2018

Phys. Rev. E

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Using a two-species quantum hydrodynamic model, we derive the quantum counterpart of magnetosonic waves, in a plasma with arbitrary degree of degeneracy and taking into account quantum diffraction effects due to the matter-wave character of the charge carriers. The weakly nonlinear aspects of the associated quantum magnetosonic wave are accessed by means of perturbation theory, with the derivation of a nonlinear evolution equation admitting solitons, namely, the Korteweg-de Vries equation. The degeneracy and quantum diffraction effects on soliton propagation are determined. A qualitative change on weakly nonlinear magnetosonic waves appears when quantum diffraction matches certain conditions, producing shock solutions instead of solitons, within the approximation level. We also include explicit numeric estimates and a discussion on the coupling (nonideality) parameter for quantum plasmas with intermediate degeneracy degree.

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A nonlinear model for magnetoacoustic waves in dense dissipative plasmas with degenerate electrons

Cited by 5 publications

References 29 publications

Modified Zakharov–Kuznetsov equation for a non-uniform electron–positron–ion magnetoplasma with kappa-distributed electrons

Modified Zakharov–Kuznetsov equation for a non-uniform electron–positron–ion magnetoplasma with kappa-distributed electrons

Magnetic field quantization in pulsars

Magnetosonic waves in a quantum plasma with arbitrary electron degeneracy

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