Kinetic theory derivation of exchange-correlation in quantum plasma hydrodynamics. (15th February 2019)

• Record Type: Journal Article
• Authors: Haas, F
• Is Part Of: Plasma physics and controlled fusion. Volume 61:Number 4(2019)
• Publication Date: 2019-02-15
• Subjects: quantum plasma -- exchange-correlation effects -- quantum hydrodynamics -- quantum kinetic equation -- quantum ion-acoustic waves; Plasma (Ionized gases) -- Periodicals; Controlled fusion -- Periodicals; 530.44
• DOI: 10.1088/1361-6587/aaffe1
• Languages: English
• ISSNs: 0741-3335

Abstract

Abstract: A quantum kinetic equation containing exchange-correlation described by an effective potential is derived, in a non-relativistic electrostatic quantum plasma. The velocity moments of the kinetic equation produce quantum fluid equations modified by the exchange-correlation potential. Closure of the hydrodynamic equations is achieved by expressing the pressure dyad in terms of the number density, using a quantum corrected local velocity displaced Wigner function equilibrium. The propagation of ion-acoustic waves in a quantum electron-ion plasma is analyzed, in the case of a completely degenerate electron gas. The fluid and kinetic approaches are compared and shown to agree in the long wavelength limit. A discussion on the equation of state and the role of the exchange-correlation and quantum diffraction effects is provided. Possible experimental parameters for the verification of the predictions are identified.