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Fluid moment hierarchy equations derived from quantum kinetic theory
Umeå University, Faculty of Science and Technology, Department of Physics.
Umeå University, Faculty of Science and Technology, Department of Physics.
Umeå University, Faculty of Science and Technology, Department of Physics.
Umeå University, Faculty of Science and Technology, Department of Physics.
2010 (English)In: Physics Letters A, ISSN 0375-9601, Vol. 374, no 3, 481-484 p.Article in journal (Refereed) Published
Abstract [en]

A set of quantum hydrodynamic equations are derived from the moments of the electrostatic mean-field Wigner kinetic equation. No assumptions are made on the particular local equilibrium or on the statistical ensemble wave functions. Quantum diffraction effects appear explicitly only in the transport equation for the heat flux triad, which is the third-order moment of the Wigner pseudo-distribution. The general linear dispersion relation is derived, from which a quantum modified Bohm–Gross relation is recovered in the long wave-length limit. Nonlinear, traveling wave solutions are numerically found in the one-dimensional case. The results shed light on the relation between quantum kinetic theory, the Bohm–de Broglie–Madelung eikonal approach, and quantum fluid transport around given equilibrium distribution functions.

Place, publisher, year, edition, pages
2010. Vol. 374, no 3, 481-484 p.
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:umu:diva-33966DOI: 10.1016/j.physleta.2009.11.011ISI: 000273871600016OAI: oai:DiVA.org:umu-33966DiVA: diva2:332140
Available from: 2010-08-02 Created: 2010-05-11 Last updated: 2010-08-20Bibliographically approved

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Haas, FMarklund, MattiasBrodin, GertZamanian, Jens
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