First-principles equation-of-state table of silicon and its effects on high-energy-density plasma simulations

Physical Review. E
S X HuJoel D Kress

Abstract

Using density-functional theory-based molecular-dynamics simulations, we have investigated the equation of state for silicon in a wide range of plasma density and temperature conditions of ρ=0.001-500g/cm^{3} and T=2000-10^{8}K. With these calculations, we have established a first-principles equation-of-state (FPEOS) table of silicon for high-energy-density (HED) plasma simulations. When compared with the widely used SESAME-EOS model (Table 3810), we find that the FPEOS-predicted Hugoniot is ∼20% softer; for off-Hugoniot plasma conditions, the pressure and internal energy in FPEOS are lower than those of SESAME EOS for temperatures above T ≈ 1-10 eV (depending on density), while the former becomes higher in the low-T regime. The pressure difference between FPEOS and SESAME 3810 can reach to ∼50%, especially in the warm-dense-matter regime. Implementing the FPEOS table of silicon into our hydrocodes, we have studied its effects on Si-target implosions. When compared with the one-dimensional radiation-hydrodynamics simulation using the SESAME 3810 EOS model, the FPEOS simulation showed that (1) the shock speed in silicon is ∼10% slower; (2) the peak density of an in-flight Si shell during implosion is ∼20% higher than the SESAME ...Continue Reading

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Citations

Mar 16, 2018·Physical Review Letters·Valentin V KarasievS B Trickey
Apr 13, 2019·Physical Review Letters·R PaulV V Karasiev
Jun 20, 2019·Physical Review. E·Gérald Faussurier, Christophe Blancard
Aug 29, 2020·Physical Review Letters·M W C Dharma-WardanaRichard C Remsing

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