Small and arbitrary shock structures in spin 1/2 magnetohydrodynamic quantum plasma

The shock structures in spin-1/2 quantum plasma, in the presence of magnetic diffusivity, are studied in the framework of the quantum magnetohydrodynamic model. Linear dispersion relation for the system is carried out analytically, and the results are plotted numerically for several values of the pl...

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Bibliographic Details
Published in:Physics of plasmas 2015-02, Vol.22 (2)
Main Authors: Sahu, Biswajit, Choudhury, Sourav, Sinha, Anjana
Format: Article
Language:English
Subjects:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
AMPLITUDES
Burgers equation
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Computational fluid dynamics
DISPERSION RELATIONS
Fluid flow
KORTEWEG-DE VRIES EQUATION
MAGNETOHYDRODYNAMICS
Mathematical models
MATHEMATICAL SOLUTIONS
NUMERICAL ANALYSIS
Parameters
Perturbation methods
PERTURBATION THEORY
Plasma
Plasma physics
Qualitative analysis
QUANTUM PLASMA
SHOCK WAVES
SPIN
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Summary:The shock structures in spin-1/2 quantum plasma, in the presence of magnetic diffusivity, are studied in the framework of the quantum magnetohydrodynamic model. Linear dispersion relation for the system is carried out analytically, and the results are plotted numerically for several values of the plasma parameters. Numerical analysis for arbitrary amplitude waves is carried out, whereas for waves of small amplitude, the reductive perturbation technique is applied to obtain the Korteweg-de Vries-Burgers equation. Both the analyses are observed to give the same qualitative picture. Most importantly, the different plasma parameters are found to play significant roles in determining the nature of the shock waves. The parametric ranges for which monotonic shock and oscillatory shock solutions are observed, are found analytically.
ISSN:1070-664X
1089-7674
DOI:10.1063/1.4907658