Modulational instability of spin modified quantum magnetosonic waves in Fermi-Dirac-Pauli plasmas

Wang, Yunliang; Lu, Xin; Eliasson, Bengt

doi:10.1063/1.4835336

Cited by 8 publications

(9 citation statements)

References 48 publications

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“…Recently, many authors have focused their attention on investigating the formation and propagation of different modes involving magnetosonic excitations in plasmas, e.g. the KdV/KP (Kadomtsev–Petviashvili) solitons, envelope solitons, double layer shocks, etc., (Chakraborty & Das 2000; Mushtaq & Shah 2005 b ; Hussain & Mahmood 2011; Wang, Lu & Eliasson 2013). Mushtaq & Viladimirov (2010) has examined the spin effects associated with degenerate plasma species on fast and slow magnetosonic waves in a spin quantum plasma within the framework of a one-fluid quantum magnetohydrodynamic (QMHD) model.…”

Section: Introductionmentioning

confidence: 99%

Magnetoacoustic solitons and shocks in dense astrophysical plasmas with relativistic degenerate electrons

2016

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Two-fluid quantum magnetohydrodynamic (QMHD) equations are employed to investigate linear and nonlinear properties of the magnetosonic waves in a semi-relativistic dense plasma accounting for degenerate relativistic electrons. In the linear analysis, a plane wave solution is used to derive the dispersion relation of magnetosonic waves, which is significantly modified due to relativistic degenerate electrons. However, for a nonlinear investigation of solitary and shock waves, we employ the reductive perturbation technique for the derivation of Korteweg–de Vries (KdV) and Korteweg–de Vries Burger (KdVB) equations, admitting nonlinear wave solutions. Numerically, it is shown that the wave frequency decreases to attain a lowest possible value at a certain critical number density $N_{c}^{(0)}$, and then increases beyond $N_{c}^{(0)}$ as the plasma number density increases. Moreover, the relativistic electrons and associated pressure degeneracy lead to a reduction in the spatial extents of the magnetosonic waves and a strengthening of the shock amplitude. The results might be important for understanding the linear and nonlinear magnetosonic excitations in dense astrophysical plasmas, such as in white dwarfs, magnetars and neutron stars, etc., where relativistic degenerate electrons are present.

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Section: Introductionmentioning

confidence: 99%

Magnetoacoustic solitons and shocks in dense astrophysical plasmas with relativistic degenerate electrons

2016

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“…Fermions (i.e., particles with spin of one half, e.g., electrons) in such a system obey Pauli exclusion principle and therefore follow the well-known Fermi-Dirac statistics. Based on a spin magnetohydrodynamic deriving the non-relativistic Pauli spin equations, Wang et al [7] have investigated the electron spin effects due to the random orientation of the plasma particles in a nonuniform magnetic field with one-body particle-antiparticle Dirac theory of electrons. There has been a great deal of interest in excitations of collective modes in spin system, such as spin waves.…”

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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“…When a plasma is cooled to a relatively low temperature or its number density is relatively high, the thermal de Broglie wavelength of the charged particles becomes comparable to the dimension of the distance between the charged particles. Accordingly, quantum effects should be considered in dense plasmas (Chandra & Ghosh 2012; Sahu & Ghosh 2013; Wang, Lü & Eliasson 2013 a ; Wang, Shukla & Eliasson 2013 b ; El-Labany et al. 2014; Irfan, Ali & Mirza 2014; Saha & Chatterjee 2014; Wang & Eliasson 2014).…”

Section: Introductionmentioning

confidence: 99%

Nonlinear magnetosonic solitary and shock waves in strongly coupled quantum electron–positron–ion plasmas

Wang

Liu

et al. 2016

J. Plasma Phys.

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Two-dimensional nonlinear magnetosonic solitary and shock waves propagating perpendicular to the applied magnetic field are presented in quantum electron–positron–ion plasmas with strongly coupled classical ions and weakly coupled quantum electrons and positrons. The generalized viscoelastic hydrodynamic model is used for the ions and a quantum hydrodynamic model is introduced for the electrons and positrons. In the weakly nonlinear limit, a modified Kadomstev–Petviashvili (KP) equation with a damping term and a KP–Burgers equation have been derived in the kinetic regime and hydrodynamic regime, respectively. The analytical and numerical solutions of the modified KP and KP–Burgers equations are also presented and analysed with the typical parameters of a white dwarf star and pulsar magnetosphere, which show that the quantum plasma beta and the variation of positron number density have remarkable effects on the propagation of magnetosonic solitary and shock waves.

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Modulational instability of spin modified quantum magnetosonic waves in Fermi-Dirac-Pauli plasmas

Cited by 8 publications

References 48 publications

Magnetoacoustic solitons and shocks in dense astrophysical plasmas with relativistic degenerate electrons

Magnetoacoustic solitons and shocks in dense astrophysical plasmas with relativistic degenerate electrons

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

Nonlinear magnetosonic solitary and shock waves in strongly coupled quantum electron–positron–ion plasmas

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