Magnetosonic solitons in a fermionic quantum plasma

M. Marklund, B. Eliasson, P. K. Shukla

Research output: Contribution to journalArticle

107 Citations (Scopus)

Abstract

Starting from the governing equations for a quantum magnetoplasma including the quantum Bohm potential and electron spin-1∕2 effects, we show that the system of quantum magnetohydrodynamic (QMHD) equations admits rarefactive solitons due to the balance between nonlinearities and quantum diffraction and tunneling effects. It is found that the electron spin-1∕2 effect introduces a pressurelike term with negative sign in the QMHD equations, which modifies the shape of the solitary magnetosonic waves and makes them wider and shallower. Numerical simulations of the time-dependent system shows the development of rarefactive QMHD solitary waves that are modified by the spin effects.
LanguageEnglish
Article number067401
Number of pages4
JournalPhysical Review E
Volume76
Issue number6
DOIs
Publication statusPublished - 19 Dec 2007

Fingerprint

Solitons
Plasma
solitary waves
magnetohydrodynamics
electron spin
Magnetohydrodynamic Equations
Solitary Waves
Electron
nonlinearity
Diffraction
Governing equation
diffraction
Nonlinearity
Numerical Simulation
simulation
Term

Keywords

  • plasma
  • magnetosonic solitons
  • quantum

Cite this

Marklund, M. ; Eliasson, B. ; Shukla, P. K. / Magnetosonic solitons in a fermionic quantum plasma. In: Physical Review E. 2007 ; Vol. 76, No. 6.
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Magnetosonic solitons in a fermionic quantum plasma. / Marklund, M.; Eliasson, B.; Shukla, P. K.

In: Physical Review E, Vol. 76, No. 6, 067401, 19.12.2007.

Research output: Contribution to journalArticle

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AU - Marklund, M.

AU - Eliasson, B.

AU - Shukla, P. K.

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AB - Starting from the governing equations for a quantum magnetoplasma including the quantum Bohm potential and electron spin-1∕2 effects, we show that the system of quantum magnetohydrodynamic (QMHD) equations admits rarefactive solitons due to the balance between nonlinearities and quantum diffraction and tunneling effects. It is found that the electron spin-1∕2 effect introduces a pressurelike term with negative sign in the QMHD equations, which modifies the shape of the solitary magnetosonic waves and makes them wider and shallower. Numerical simulations of the time-dependent system shows the development of rarefactive QMHD solitary waves that are modified by the spin effects.

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KW - magnetosonic solitons

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