Nonlinear quantum fluid equations for a finite temperature Fermi plasma

Bengt Eliasson, Padma Shukla

Research output: Contribution to journalArticle

Abstract

Nonlinear quantum electron fluid equations are derived, taking into account the moments of the Wigner equation and by using the Fermi–Dirac equilibrium distribution for electrons with an arbitrary temperature. A simplified formalism with the assumptions of incompressibility of the distribution function is used to close the moments in velocity space. The nonlinear quantum diffraction effects into the fluid equations are incorporated. In the high-temperature limit, we retain the nonlinear fluid equations for a dense hot plasma and in the low-temperature limit, we retain the correct fluid equations for a fully degenerate plasma.
Original languageEnglish
Article number025503
Number of pages4
JournalPhysica Scripta
Volume78
Issue number2
DOIs
Publication statusPublished - 31 Jul 2008

Fingerprint

Finite Temperature
Plasma
Fluid
fluids
Wigner Equation
Electron
Moment
Incompressibility
temperature
Equilibrium Distribution
moments
incompressibility
dense plasmas
Diffraction
high temperature plasmas
Distribution Function
electrons
distribution functions
formalism
Arbitrary

Keywords

  • fluid equations
  • quantum plasma
  • quantum fluid equations
  • inite temperature Fermi plasma

Cite this

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Nonlinear quantum fluid equations for a finite temperature Fermi plasma. / Eliasson, Bengt; Shukla, Padma.

In: Physica Scripta, Vol. 78, No. 2, 025503, 31.07.2008.

Research output: Contribution to journalArticle

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AU - Shukla, Padma

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UR - http://iopscience.iop.org/1402-4896/78/2/025503

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