Bremen 2017 – wissenschaftliches Programm

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P: Fachverband Plasmaphysik

P 12: Theory and Modelling I

P 12.2: Poster

Dienstag, 14. März 2017, 16:30–18:30, HS Foyer

Theoretical foundations of quantum hydrodynamics for dense plasmas — •Zhandos Moldabekov and Michael Bonitz — Institut für Theoretische Physik und Astrophysik, Christian-Albrechts-Universität zu Kiel, Leibnizstraße 15, 24098 Kiel, Germany

Dense quantum plasmas are of high current interest in astrophysics and many laboratory experiments. The theory of these systems is complicated, therefore a simplified approach based on Quantum hydrodynamics (QHD) has become popular [1]. However, often QHD is used outside the range of applicability and even with incorrect explicit expressions. The key ingredients of QHD for fermions are the Fermi pressure and the Bohm potential. We have recently shown [2] that to compute the screened potential in a plasma the prefactor of the Bohm term has to be corrected yielding good agreement with the static long-wavelength limit of the random phase approximation [3]. Here we analyze how the QHD equations can be further improved in order to better reproduce a broader wavenumber-frequency range. The nonlocal Bohm potential, in linear response, has been derived. The exchange-correlation potential in linear response, in terms of the dynamic local field correction, for the QHD application has been obtain. This allows to use the results of the previous studies of the dynamic local field correction in the QHD theory.

[1] G. Manfredi, F. Haas, Phys. Rev. B 64, 075316 (2001) [2] D. Michta et al., Contrib. Plasma Phys. 55, 437 (2015) [3] Z. Moldabekov et al., Phys. Plasmas 22, 102104 ((2015)