Hannover 2020 – scientific programme

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P: Fachverband Plasmaphysik

P 14: Codes and modelling

P 14.1: Talk

Wednesday, March 11, 2020, 14:00–14:25, b302

Quantum hydrodynamics for plasmas – quo vadis? — •Michael Bonitz¹, Zhandos Moldabekov², Hanno Kählert¹, and Shen Zhang¹ — ¹Institut für Theoretische Physik und Astrophysik, Universität Kiel, Leibnizstr. 15 — ²Al Farabi University, Almaty, Kazakhstan

Quantum hydrodynamics (QHD) has become popular for modeling quantum plasmas and warm dense matter, following Ref. 1. While QHD is quite successful for describing Bose-Einstein condensates and plasmonic excitations in metallic nanoparticles, the application of the model of Ref. [1] to dense plasmas has lead to oversimplified fluid equations. These equations neither reproduce the correct plasmon dispersion (except for 1D models) nor the screened potential of an ion in a quantum degenerate plasma [2, 3] and have led to astonishing predictions that have been controversially discussed. Here we present a systematic derivation, starting from quantum statistical theory, that leads to microscopic QHD equations that are in agreement with time-dependent DFT and quantum kinetic theory and which serve as a basis for deriving improved QHD models for plasmas [3].
[1] G. Manfredi and F. Haas, Phys. Rev. B 74, 075316 (2001)
[2] Zh. Moldabekov, M. Bonitz, and T. Ramazanov, Phys. Plasmas 25, 031903 (2018)
[3] M. Bonitz, Zh. Moldabekov, and T. Ramazanov, Phys. Plasmas 26, 090601 (2019)