Nonlinear propagation of ion acoustic waves in quantum plasma in the presence of an ion beam

Paul, Indrani; Chatterjee, A.

doi:10.1017/s0263034619000697

Cited by 9 publications

(9 citation statements)

References 58 publications

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“…[19,20] Moreover, the impact of Bohm potential on the linear and nonlinear characteristics of longitudinal waves has already been extensively studied in numerous works. [35][36][37][38] Since in the present analysis, we want to focus mainly on the signatures of spin polarization and beam on the solitary waves, so for the sake of simplicity the Bohm potential force has not been taken into account in present study (see, i.e., Equation 4). The Poisson equation for longitudinal waves in electron-ion-beam plasma reads as…”

Section: Model Equationsmentioning

confidence: 99%

Excitation of nonlinear longitudinal structures in spin‐1/2 quantum plasma in the presence of ion beam

Iqbal,

Abbas,

Rozina

et al. 2024

Contrib. Plasma Phys

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The formation of longitudinal, nonlinear structures in an interacting ion beam, spin‐1/2 quantum, electron‐ion plasma is reported by employing a separate spin evolution quantum hydrodynamic model (SSE‐QHD). The reductive perturbation method is followed to develop the KdV equations. In the presence of an ion beam and keeping the finite electron inertial effects, ion acoustic (IA) soliton and spin electron acoustic (SEA) soliton are found. The critical values of beam speed and spin polarization, required for the existence of solitary structures, are highlighted. It is prescribed that the present model supports rarefactive and compressive SEA soliton and compressive IA soliton. It is shown that the ion beam is essential for the existence of a compressive SEA solitary structure. We have also calculated and compared the energy densities of both solitons. Furthermore, the dependence of the nonlinear structures on the beam parameters and spin polarization are also examined. Our findings would be useful to understand the new spin‐dependent nonlinear structures as well as the features of nonlinear IA waves in ion beam–plasma interactions.

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Section: Model Equationsmentioning

confidence: 99%

Excitation of nonlinear longitudinal structures in spin‐1/2 quantum plasma in the presence of ion beam

Iqbal,

Abbas,

Rozina

et al. 2024

Contrib. Plasma Phys

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“…Solving the system of Eqs. ( 27)- (31) with the aid of Eqs. ( 18)-( 26), we get finally the following nonlinear partial differential equation…”

Section: Derive Zakharov-kuznetsov Equationmentioning

confidence: 99%

“…They assumed that the plasma is to be rotating with angular frequency at an angle 𝜃 to the direction of the magnetic field. Paul et al [31] studied the nonlinear propagation of ion acoustic waves in unmagnetized quantum plasma in the presence of an ion beam using the one-dimensional quantum hydrodynamic model. They have found that the formation and structure of solitary waves are significantly affected by the ion beam .…”

Section: Introductionmentioning

confidence: 99%

Propagation of Ion Acoustic Waves in a Magnetized Quantum Plasma in the Presence of Exchange-Correlation Effects

Khaled¹,

Loqman

Alkuhlani

2022

Electron. J. Univ. Aden Basic Appl. Sci.

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The nonlinear propagation of ion acoustic solitary waves are studied in a magnetized quantum plasma consisting of cold inertia ions and inertialless quantum electrons and positrons, including exchange-correlation effects., A Zakharov-Kuznetsov equation is derived by using the reductive perturbation method. The effects of quantum plasma parameters on the propagation characteristics of the ion acoustic solitary waves have been investigated. It is found that the phase velocity, amplitude and width of the solitary waves are significantly affected by the presence of exchange-correlation potentials of electron and positron. Only solitary wave width effected by both quantum diffraction and magnetic field strength. The width of the solitary waves increases with the increase of both the quantum diffraction and magnetic field strength. The increase in the positron concentration causes to diminish both the solitary waves amplitude and width. The current results may be useful to understand the properties of ion acoustic waves propagating in dense space plasma environments where the quantum effects are expected to dominate.

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“…Solitary waves in a dense plasma with ion beam were studied in ref. [26], and their findings were based on the KdV equation, and it was shown that the existence of ion beams in plasma considerably impacted the formation and structure of solitary waves. In ref.…”

Section: Introductionmentioning

confidence: 99%

The arbitrary amplitude of a solitary pulse propagating obliquely in electron spin‐polarized plasma

Gul

Ahmad

2022

Contributions to Plasma Physics

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A Separated Spin Evolution Quantum Hydrodynamics Model is employed to investigate arbitrary amplitude ion‐acoustic waves in magnetized plasma, which consists of inertia‐less degenerated electrons with spin‐up n↑$$ {n}_{\uparrow } $$ and spin‐down n↓$$ {n}_{\downarrow } $$ states, as well as inertial classical ions. In a two‐dimensional plasma geometry, a homogeneous magnetic field is assumed to be directed along the z‐axis, that is, boldB=B0truez^$$ \mathbf{B}={B}_0\hat{z} $$. In the linear analysis, two branches of waves propagation are found to occur in the oblique direction. The characteristics of large‐amplitude ions solitary waves propagation in oblique direction are studied through an energy‐balance equation, by applying a Sagdeev potential approach. The parametric role of the spin density polarization ratio κ$$ \kappa $$ on the properties of solitary wave structures, as well as other important plasma parameters, is traced analytically. The scope of our work is significant to study dilute magnetic semiconductors, magnetosphere, and as well as astrophysical systems.

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Nonlinear propagation of ion acoustic waves in quantum plasma in the presence of an ion beam

Cited by 9 publications

References 58 publications

Excitation of nonlinear longitudinal structures in spin‐1/2 quantum plasma in the presence of ion beam

Excitation of nonlinear longitudinal structures in spin‐1/2 quantum plasma in the presence of ion beam

Propagation of Ion Acoustic Waves in a Magnetized Quantum Plasma in the Presence of Exchange-Correlation Effects

The arbitrary amplitude of a solitary pulse propagating obliquely in electron spin‐polarized plasma

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