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P: Fachverband Plasmaphysik

P 10: High Energy Density Physics I

P 10.5: Vortrag

Mittwoch, 18. März 2026, 12:15–12:30, KH 02.016

Equation of State and Electronic Transport Properties of Dense Liquid Hydrogen — Armin Bergermann¹, •Uwe Kleinschmidt², Siegfried H. Glenzer¹, and Ronald Redmer^2,3 — ¹SLAC National Accelerator Laboratory, Menlo Park CA 94309, USA — ²Institute of Physics, University of Rostock, D-18051 Rostock, Germany — ³Helmholtz-Zentrum Dresden-Rossendorf, Bautzner Landstr. 400, D-01328 Dresden, Germany

We present extensive first-principles calculations of the equation of state and electronic transport properties of hydrogen across a wide density (0.2 < ρ < 70 g/cm³) and temperature (10³ < T < 10⁶ K) regime, encompassing conditions relevant to giant planet interiors, stellar envelopes, and inertial confinement fusion plasmas. The equation of state data recover the ideal-gas and fully ionized plasma limits. Electronic transport coefficients were obtained via the Kubo-Greenwood formalism. The electrical conductivity exhibits an inversion region near ρ ∼ 1-10 g/cm³, where degeneracy and coupling parameters are of order unity, marking the transition from molecular to metallic hydrogen. The thermal conductivity rises monotonically with increasing density and temperature, bridging between the Wiedemann-Franz behavior in the degenerate regime and the Spitzer scaling in the classical limit. Comparisons with analytical models show good agreement within their respective validity regimes. Our data set provides a high-accuracy benchmark for warm dense hydrogen and a reliable reference for applications such as planetary modeling, stellar structure calculations, and ICF design.

Keywords: Dense liquid hydrogen; first-principles; Density funtional theory; molecular dynamics; transport properties