[Back]


Contributions to Books:

A. Jüngel, J. Lopez, J. Montejo-Gamez:
"A new derivation of the quantum Navier-Stokes equations in the Wigner-Fokker-Planck approach";
in: "ASC Report 14/2011", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2011, ISBN: 978-3-902627-04-9.



English abstract:
A quantum Navier-Stokes system for the particle, momentum, and energy
densities are 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.

Keywords:
Quantum Navier-Stokes model Wigner-Fokker-Planck equations moment method osmotic momentum local gauge transformation


Electronic version of the publication:
http://www.asc.tuwien.ac.at/preprint/2011/asc14x2011.pdf


Created from the Publication Database of the Vienna University of Technology.