skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Equation of state of hot, dense magnesium derived with first-principles computer simulations

Journal Article · · Physics of Plasmas
DOI:https://doi.org/10.1063/5.0017555· OSTI ID:1784747

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 5×108 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. Here, we study ionization mechanisms and the 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 densities. This results in 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 plasmas 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.

Research Organization:
Univ. of California, San Diego, CA (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF); European Commission (EC); Comisión Nacional de Investigación Científica y Tecnológica (CONICYT)
Grant/Contract Number:
NA0003842; SC0016248; LFR-17-449059; 750901; 74160058; ACI-1640776
OSTI ID:
1784747
Alternate ID(s):
OSTI ID: 1659350
Journal Information:
Physics of Plasmas, Vol. 27, Issue 9; ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English

References (70)

Generalized Gradient Approximation Made Simple journal October 1996
Correlations in hot dense helium journal May 2009
Local structure of molten AuGa2 under pressure: Evidence for coordination change and planetary implications journal May 2018
Projector augmented-wave method journal December 1994
Characterization of the State of Hydrogen at High Temperature and Density journal January 1999
The melting temperature of magnesium under shock loading journal March 1977
Path integral Monte Carlo and density functional molecular dynamics simulations of warm dense MgSiO 3 journal January 2020
First-principles equation of state and electronic properties of warm dense oxygen journal October 2015
Molecular Dissociation in Hot, Dense Hydrogen journal February 1996
Path integral Monte Carlo calculation of the momentum distribution of the homogeneous electron gas at finite temperature journal January 2019
Phase Transformations and Metallization of Magnesium Oxide at High Pressure and Temperature journal November 2012
Shock Compression of a Fifth Period Element: Liquid Xenon to 840 GPa journal August 2010
From ultrasoft pseudopotentials to the projector augmented-wave method journal January 1999
Ab initio thermodynamics and phase diagram of solid magnesium: A comparison of the LDA and GGA journal November 2006
Ionization-potential depression and dynamical structure factor in dense plasmas journal July 2017
Structural stability of polymeric nitrogen: A first-principles investigation journal January 2010
Electrical conductivity and magnetic dynamos in magma oceans of Super-Earths journal September 2018
Dense astrophysical plasmas journal September 2002
Ab initio calculations for the elastic properties of magnesium under pressure journal September 2009
Comparison of path integral Monte Carlo simulations of helium, carbon, nitrogen, oxygen, water, neon, and silicon plasmas journal June 2017
The melting curve of ten metals up to 12 GPa and 1600 K journal August 2010
Validating density-functional theory simulations at high energy-density conditions with liquid krypton shock experiments to 850 GPa on Sandia's Z machine journal November 2014
The Principal Hugoniot of Forsterite to 950 GPa journal May 2018
Composition and fate of short-period super-Earths: The case of CoRoT-7b journal June 2010
First-principles simulations of warm dense lithium fluoride journal April 2017
Computation of the high temperature Coulomb density matrix in periodic boundary conditions journal July 2016
Physical properties of MgO at deep planetary conditions journal February 2019
Melting of the alkaline-earth metals to 80 GPa journal December 2001
Direct observation of the hcp-bcc phase transition and melting along the principal Hugoniot of Mg journal January 2020
Path integral Monte Carlo and density functional molecular dynamics simulations of hot, dense helium journal April 2009
A unified formulation of the constant temperature molecular dynamics methods journal July 1984
Shock compression of stishovite and melting of silica at planetary interior conditions journal January 2015
The equation of state for magnesium at high pressures journal October 2004
Comparison of Jupiter interior models derived from first-principles simulations journal December 2008
Computer simulation study of amorphous compounds: structural and vibrational properties journal May 2010
Progress in beam focusing and compression for warm-dense matter experiments
  • Seidl, P. A.; Anders, A.; Bieniosek, F. M.
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 606, Issue 1-2 https://doi.org/10.1016/j.nima.2009.03.254
journal July 2009
Self-Consistent Equations Including Exchange and Correlation Effects journal November 1965
Understanding the effects of radiative preheat and self-emission from shock heating on equation of state measurement at 100s of Mbar using spherically converging shock waves in a NIF hohlraum journal January 2020
First-principles simulations and shock Hugoniot calculations of warm dense neon journal January 2015
Decaying shock studies of phase transitions in MgO-SiO 2 systems: Implications for the super-Earths' interiors : Decaying Shock in MgO-SiO journal September 2016
Magnesium oxide at extreme temperatures and pressures studied with first-principles simulations journal December 2019
Hydrogen–Helium Mixtures at High Pressure journal June 2005
Interiors of Giant Planets Inside and Outside the Solar System journal October 1999
Achieving high-density states through shock-wave loading of precompressed samples journal May 2007
Dissociation of Liquid Silica at High Pressures and Temperatures journal July 2006
Path integral Monte Carlo simulations of warm dense aluminum journal June 2018
Laser-shock compression of magnesium oxide in the warm-dense-matter regime journal August 2015
High-mode Rayleigh-Taylor growth in NIF ignition capsules journal June 2010
Inertial-confinement fusion with lasers journal May 2016
Reentrant melting of sodium, magnesium, and aluminum: General trend journal October 2019
Understanding Jupiter's interior: UNDERSTANDING JUPITER'S INTERIOR journal September 2016
Inhomogeneous Electron Gas journal November 1964
Structural Ordering in Liquid Gallium under Extreme Conditions journal April 2020
An Optimized Method for Treating Long-Range Potentials journal March 1995
Path integrals in the theory of condensed helium journal April 1995
Implications of Shock wave Experiments with Precompressed Materials for Giant Planet Interiors
  • Militzer, Burkhard; Hubbard, William B.; Elert, Mark
  • SHOCK COMPRESSION OF CONDENSED MATTER - 2007: Proceedings of the Conference of the American Physical Society Topical Group on Shock Compression of Condensed Matter, AIP Conference Proceedings https://doi.org/10.1063/1.2832986
conference January 2008
Theoretical and experimental investigation of the equation of state of boron plasmas journal August 2018
Path-integral calculations of normal liquid He 3 journal July 1992
Behaviour of Grüneisen Parameter at High Pressure and Temperature Inferred from Shock Compression Data journal March 2002
Equation of state and shock compression of warm dense sodium—A first-principles study journal February 2017
Thermal Properties of the Inhomogeneous Electron Gas journal March 1965
Equation of State for laboratory astrophysics applications journal December 2010
Thermodynamic properties of MgSiO 3 at super-Earth mantle conditions journal June 2018
Density functional theory calculations of continuum lowering in strongly coupled plasmas journal March 2014
A silicate dynamo in the early Earth journal February 2020
Refractive index of lithium fluoride to 900 gigapascal and implications for dynamic equation of state measurements journal May 2019
Ab initio thermoelasticity of magnesium journal February 1999
Phase Diagrams and Thermodynamic Properties of Metals at High Pressures, High Temperatures conference January 2002
Path integral Monte Carlo simulations of dense carbon-hydrogen plasmas journal March 2018
Equation of state and high-pressure/high-temperature phase diagram of magnesium journal October 2014