Aluminum wide-range EOS sensitivity in Z-pinch dynamic-hohlraum liner-foam impact and outgoing radiation

Abstract

In a Z-pinch dynamic hohlraum, an aluminum liner collides with a central foam and converts kinetic energy into radiation, and the liner-foam response depends on the aluminum equation of state (EOS). We construct a wide-range aluminum equation-of-state table from density functional theory (DFT) simulations over solid-liquid-plasma regions, denoted DFT-eos. Mixed deterministic-stochastic finite-temperature DFT (mDFT) gives the electron thermal contribution; quantum molecular dynamics (QMD) with classical calibration gives the ion part. We perform one-dimensional cylindrical radiation magnetohydrodynamics (MHD) simulations at a peak current of 50 MA and rise times of 220-300 ns on a single-layer light foam load. Opacity and electrical conductivity are fixed; only the liner Al EOS is changed between DFT-eos and the quotidian EOS (QEOS). Impact time and peak liner kinetic energy change little between the two tables. Larger differences appear in flight-segment density, the contact state at impact, and the time history of outgoing radiation power at the outer interface.