Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equation of State of Hot, Dense Magnesium Derived with
  First-PrinciplesComputer Simulations   Using two first-principles computer simulation techniques, path integral
Monte-Carlo and density functional theory molecular dynamics, we derive the
equation of state of magnesium in the regime of warm dense matter, with
densities ranging from 0.43 to 86.11~g/cm$^3$~and temperatures from 20,000 K to
$5\times10^8$~K. These conditions are relevant for the interiors of giant
planets and stars as well as for shock compression measurements and inertial
confinement fusion experiments. We study ionization mechanisms and electronic
structure of magnesium as a function of density and temperature. We show that
the L shell electrons 2s and 2p energy bands merge at high density. This
results into a gradual ionization of the L-shell with increasing density and
temperature. In this regard, Mg differs from MgO, which is also reflected in
the shape of its principal shock Hugoniot curve. For Mg, we predict a single
broad pressure-temperature region where the shock compression ratio is
approximately 4.9. Mg thus differs from Si and Al plasma that exhibit two
well-separated compression maxima on the Hugoniot curve for L and K shell
ionizations. Finally we study multiple shocks and effects of preheat and
precompression.

17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess