Nonlinear quantum fluid equations for a finite temperature Fermi plasma

Bengt Eliasson, Padma Shukla

Research output: Contribution to journalArticlepeer-review


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
Issue number2
Publication statusPublished - 31 Jul 2008


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


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