Spin magnetosonic shock-like waves in quantum plasmas

Misra, A. P.; Ghosh, Nina

doi:10.1016/j.physleta.2008.08.065

Cited by 23 publications

(12 citation statements)

References 42 publications

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“…18 Nonlinear collective processes in quantum plasmas have been investigated by including both quantum tunneling and electron spin effects on an equal footing, which can give rise to new collective linear and nonlinear magnetosonic excitations, 19 such as solitons, 20,21 localized whistlers, 22 and shock waves. 23 The effect of electron spin on magnetosonic waves can be incorporated via the spin force and macroscopic spin magnetization current. In electron-positron pair plasmas, the microscopic spin properties can also give rise to new Alfv enic solitary waves which do not exist if the quantum spin effects are neglected.…”

Section: Introductionmentioning

confidence: 99%

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

Wang

Eliasson

2013

Physics of Plasmas

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A theoretical and numerical study of the modulational instability of large amplitude quantum magnetosonic waves (QMWs) in a relativistically degenerate plasma is presented. A modified nonlinear Schrödinger equation is derived by using the reductive perturbation method. The modulational instability regions of the QMWs and the corresponding growth rates are significantly affected by the relativistic degeneracy parameter, the Pauli spin magnetization effects, and the equilibrium magnetic field. The dynamics and nonlinear saturation of the modulational instability of QMWs are investigated numerically. It is found that the increase of the relativistic degeneracy parameter can increase the growth rate of the instability, and the system is saturated nonlinearly by the formation of envelope solitary waves. The current investigation may have relevance to astrophysical magnetized compact objects, such as white dwarfs and pulsar magnetospheres

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Section: Introductionmentioning

confidence: 99%

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

Wang

Eliasson

2013

Physics of Plasmas

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“…In their work they found that if one neglects the magnetic diffusivity, the magnetic field satisfies an equation identical to the equation of continuity and hence one can take the magnetic field linearly proportional to the density of plasma fluid by applying the simplification of the governing equations. Later Misra and Ghosh (2008) obtained the spin magnetosonic shock like waves in quantum plasma, where they took account of magnetic diffusivity, using the reductive perturbation technique. Very recently, linear and nonlinear compressional magnetosonic waves in magnetized degenerate spin-1/2 Fermi plasmas are also investigated (Mushtaq and Vladimirov 2011).…”

Section: Introductionmentioning

confidence: 99%

Phase shifts of magneto-acoustic solitons in spin-1/2 fermionic quantum plasma during head-on collision

2012

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The head-on collision between two magneto-acoustic solitons in spin-1/2 fermionic quantum plasma is studied in the framework of the model proposed by Marklund et al. (Marklund, M., Eliasson, B. and Shukla, P. K. 2007 Phys. Rev. E. 76, 067401). The extended Poincare–Lighthill–Kuo method is used to obtain the phase shifts and the trajectories during the head-on collision of two solitons. The effect of the Zeeman energy for different speeds of the waves, the effect of the total mass density of the charged plasma particles for different strengths of magnetic field, the effect of the speed of the wave for different values of the Zeeman energy, and that of the ratio of the sound speed to Alfven speed for different values of Zeeman energ on the phase shift are studied. It is observed that the phase shifts are significantly affected in all the cases. The most interesting observation of this paper is that the phase shifts increase as well as decrease, and also they may be positive as well as negative depending upon the domain of the chosen parameters.

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“…The importance of the latter has been recognized in the context of plasmonics, 16 in quantum wells, 17 in ultracold, 18 and astrophysical plasmas. 19 Various collective phenomena in dense quantum plasmas have been investigated, where the Bohm de Broglie potential and the Fermi pressure, [20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36] spin properties, 27,[29][30][31][32][33]35 as well as certain quantum electrodynamical effects 36,37 are accounted for.…”

Section: Introductionmentioning

confidence: 99%

Evolution of Alfvénic wave envelopes in spin-1/2 quantum Hall-magnetohydrodynamic plasmas

2009

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The one-dimensional oblique propagation of large amplitude magnetohydrodynamic (MHD) waves in a high-β quantum Hall-MHD plasma is studied with electron spin-1/2 effects. The plasma β becomes high by the condition for the nonrelativistic fluid model to be valid and the condition for the collective effects to be important in quantum plasmas. Such a high-β value is a prerequisite for large perturbations of the perpendicular magnetic field comparable with the longitudinal magnetic field. It is shown that the nonlinear evolution of such waves is described by a derivative nonlinear Schrödinger (DNLS) equation. It is found that the DNLS equation does not depend on the higher order quantum coupling associated with the Bohm potential, rather the pressure such as spin force plays the crucial role. Such an evolution equation is shown to admit spin-modified localized envelope solitons whose width L is reduced by ε2/vB2 and the amplitude increases with increasing ε2/vB2 values, where ε is the temperature normalized Zeeman energy and vB2 is the electron thermal energy normalized by the Alfvén wave energy. Moreover, the MHD waves are found to be modulationally unstable for a wave number exceeding its critical value, which typically depends on ε2/vB2. The growth rate of the modulational instability is also investigated. Furthermore, the effect of dissipation due to plasma resistivity is shown to exhibit envelope shocklike structures instead of envelope solitons. The present nonlinear excitations can account for large scale structures in dense astrophysical plasma environments.

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Spin magnetosonic shock-like waves in quantum plasmas

Cited by 23 publications

References 42 publications

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

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

Phase shifts of magneto-acoustic solitons in spin-1/2 fermionic quantum plasma during head-on collision

Evolution of Alfvénic wave envelopes in spin-1/2 quantum Hall-magnetohydrodynamic plasmas

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