A. Jüngel, J. Lopez, J. Montejo-Gamez:
"A New Derivation of the Quantum Navier-Stokes Equations in theWigner-Fokker-Planck Approach";
Journal of Statistical Physics, 145 (2011), S. 1661 - 1673.

Kurzfassung deutsch:
Siehe englisches Abstract.

Kurzfassung englisch:
A quantum Navier-Stokes system for the particle, momentum, and energy densities
is formally derived from the Wigner-Fokker-Planck equation using a moment method.
The viscosity term depends on the particle density with a shear viscosity coefficient which
equals the quantum diffusion coefficient of the Fokker-Planck collision operator. The main
idea of the derivation is the use of a so-called osmotic momentum operator, which is the
sum of the phase-space momentum and the gradient operator. In this way, a Chapman-
Enskog expansion of the Wigner function, which typically leads to viscous approximations,
is avoided. Moreover, we show that the osmotic momentum emerges from local gauge theory.

Wigner-Fokker-Planck equation; moment method; osmotic momentum

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