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Title: 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 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.
Authors:
 [1] ;  [2] ;  [3]
  1. Department of Mathematics, West Bengal State University, Barasat, Kolkata 700126 (India)
  2. Department of Mathematics, Visva-Bharati, Santiniketan 731 204 (India)
  3. Department of Instrumentation Science, Jadavpur University, Kolkata 700 032 (India)
Publication Date:
OSTI Identifier:
22408087
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 22; Journal Issue: 2; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; AMPLITUDES; DISPERSION RELATIONS; KORTEWEG-DE VRIES EQUATION; MAGNETOHYDRODYNAMICS; MATHEMATICAL SOLUTIONS; NUMERICAL ANALYSIS; PERTURBATION THEORY; QUANTUM PLASMA; SHOCK WAVES; SPIN