Our PIMC paper on the equation of state of solium published in J. Chem. Phys.!

T-r/r0 plots of shock Hugoniot curves corresponding to four initial densities.

As one of the simple alkali metals, sodium has been of fundamental interest for shock physics experiments, but knowledge of its equation of state (EOS) in hot, dense regimes is not well known. In this paper, we combine state-of-the-art first-principles methods (path integral Monte Carlo and density functional theory molecular dynamics) to construct an EOS of Na across a wide range of densities (2-12 times ambient density) and temperatures (103-1.29×108 K). Our results provide a benchmark for analytical/semi-empirical EOS models and are useful for understanding the physics of materials in stellar-interior conditions or under intense shock compression at experimental facilities such as NIF.

Read the whole articles here:
Shuai Zhang, Kevin P. Driver, Francois Soubiran, Burkhard Militzer, "Equation of state and shock compression of warm dense sodium — A first-principles study", J. Chem. Phys. 146, 074505 (2017). (also see arXiv: astro-ph.SR).