2021/04/21 by Fernando Haas, Haas, Fernando
Mathematics · Physics and Astronomy · #Dust and Plasma Wave Phenomena #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #Optical properties and cooling technologies in crystalline materials #Plasma Physics (physics.plasm-ph) #physics.plasm-ph
paper · pdf · doi:10.48550/arxiv.2104.10599
arxiv created 2021/04/21 · openalex publication_date 2021/04/21 · arxiv updated 2021/04/22 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28
Starting from first principles quantum kinetic theory for ideal plasmas with exchange effects, the quantum hydrodynamic equations are derived taking moments of the corresponding exchange-Vlasov equation. The case of an electron-ion plasma where ions are entirely classical is considered. The linear dispersion relation for ion-acoustic waves is found from the macroscopic equations and compared with exchange quantum kinetic theory, yielding a qualitative agreement apart from a numerical factor of order one in the exchange contribution, assuming a Maxwellian background as a first step, for analytical simplicity. The validity conditions of the treatment are discussed and exchange effects are shown to be necessarily a correction, within the ideal and long wavelength approximations.