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Title: Path integral Monte Carlo and density functional molecular dynamics simulations of warm dense MgSiO 3

Journal Article · · Physical Review B

In order to provide a comprehensive theoretical description of MgSiO3 at extreme conditions, we combine results from path integral Monte Carlo and density functional molecular dynamics simulations and generate a consistent equation of state for this material. We consider a wide range of temperature and density conditions from 104 to 108 K and from 0.321 to 64.2 g/cm-3 (0.1- to 20-fold the ambient density). We study how the L and K shell electrons are ionized with increasing temperature and pressure. We derive the shock Hugoniot curve and compare with experimental results. Our Hugoniot curve is in good agreement with the experiments, and we predict a broad compression maximum that is dominated by the K shell ionization of all three nuclei while the peak compression ratio of 4.70 is obtained when the Si and Mg nuclei are ionized. To conclude, we analyze the heat capacity and structural properties of the liquid.

Research Organization:
Univ. of California, Berkeley, CA (United States); Univ. of California, San Diego, CA (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF)
Grant/Contract Number:
SC0016248; NA0003842; LFR-17-449059; 74160058; NSF ACI 1640776
OSTI ID:
1593521
Alternate ID(s):
OSTI ID: 1633893
Journal Information:
Physical Review B, Vol. 101, Issue 2; Related Information: https://journals.aps.org/prb/abstract/10.1103/PhysRevB.101.024107#supplemental; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 11 works
Citation information provided by
Web of Science

References (69)

The complete ISO spectrum of NGC 6302 journal June 2001
Generalized Gradient Approximation Made Simple journal October 1996
Correlations in hot dense helium journal May 2009
Equation of state of boron nitride combining computation, modeling, and experiment journal April 2019
Phase transitions in MgSiO3 post-perovskite in super-Earth mantles journal November 2017
Projector augmented-wave method journal December 1994
Ramp compression of diamond to five terapascals journal July 2014
Characterization of the State of Hydrogen at High Temperature and Density journal January 1999
First-principles equation of state and electronic properties of warm dense oxygen journal October 2015
Rocky super-Earth interiors: Structure and internal dynamics of CoRoT-7b and Kepler-10b journal May 2012
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
Ultra-High Pressure Dynamic Compression of Geological Materials journal February 2019
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
Measurement of the principal isentropes of lead and lead–antimony alloy to ∼400 kbar by quasi-isentropic compression journal February 2005
Equation of state of iron under core conditions of large rocky exoplanets journal April 2018
Melting in super-earths journal April 2014
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
Evidence for a Phase Transition in Silicate Melt at Extreme Pressure and Temperature Conditions journal February 2012
Comparison of path integral Monte Carlo simulations of helium, carbon, nitrogen, oxygen, water, neon, and silicon plasmas journal June 2017
The Principal Hugoniot of Forsterite to 950 GPa journal May 2018
Progress in warm dense matter study with applications to planetology journal May 2014
Composition and fate of short-period super-Earths: The case of CoRoT-7b journal June 2010
Shock vaporization of silica and the thermodynamics of planetary impact events: SHOCK VAPORIZATION OF SILICA journal September 2012
Computation of the high temperature Coulomb density matrix in periodic boundary conditions journal July 2016
High-Pressure Melting of MgSiO 3 journal May 2005
The role of high-pressure experiments on determining super-Earth properties journal May 2009
Shock compression of stishovite and melting of silica at planetary interior conditions journal January 2015
Ab initio based equation of state of dense water for planetary and exoplanetary modeling journal January 2019
Multiphase equation of state for carbon addressing high pressures and temperatures journal June 2014
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
Shock-compressed MgSiO 3 glass, enstatite, olivine, and quartz: Optical emission, temperatures, and melting : SHOCK TEMPERATURE AND MELTING OF SILICATES journal May 2004
The MgSiO 3 system at high pressure: Thermodynamic properties of perovskite, postperovskite, and melt from global inversion of shock and static compression data : MgSiO journal January 2009
Self-Consistent Equations Including Exchange and Correlation Effects journal November 1965
Phase transition in MgSiO3 perovskite in the earth's lower mantle journal August 2004
Path integral Monte Carlo simulations of silicates journal January 2001
Magnesium oxide at extreme temperatures and pressures studied with first-principles simulations journal December 2019
Hydrogen–Helium Mixtures at High Pressure journal June 2005
Inertial-confinement fusion with lasers journal May 2016
Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set journal October 1996
Experimental evidence for superionic water ice using shock compression journal February 2018
Structure and Freezing of MgSiO3 Liquid in Earth's Lower Mantle journal October 2005
Shock formation and the ideal shape of ramp compression waves journal December 2008
Inhomogeneous Electron Gas journal November 1964
Ab initio investigation of a possible liquid–liquid phase transition in MgSiO3 at megabar pressures journal March 2013
An Optimized Method for Treating Long-Range Potentials journal March 1995
Shock Compression of Liquid Helium to 56 GPa (560 kbar) journal September 1984
Erratum: Evidence for a Phase Transition in Silicate Melt at Extreme Pressure and Temperature Conditions [Phys. Rev. Lett. 108 , 065701 (2012)] journal September 2017
Mass‐Radius Relationships for Solid Exoplanets journal November 2007
Equation of state and shock compression of warm dense sodium—A first-principles study journal February 2017
Equation of State for laboratory astrophysics applications journal December 2010
Refractive index of lithium fluoride to 900 gigapascal and implications for dynamic equation of state measurements journal May 2019
Path integral Monte Carlo simulations of dense carbon-hydrogen plasmas journal March 2018
Reducing Dzyaloshinskii-Moriya interaction and field-free spin-orbit torque switching in synthetic antiferromagnets journal May 2021
Electronic structure of AlFeN films exhibiting crystallographic orientation change from c- to a-axis with Fe concentrations and annealing effect journal February 2020
Shock formation and the ideal shape of ramp compression waves text January 2008
Ab Initio Investigation of a Possible Liquid-Liquid Phase Transition in MgSiO3 at Megabar Pressures text January 2012
Superionic to superionic phase change in water: consequences for the interiors of Uranus and Neptune text January 2012
Development of Path Integral Monte Carlo Simulations with Localized Nodal Surfaces for Second-Row Elements text January 2015
The importance of finite-temperature exchange-correlation for warm dense matter calculations text January 2016
First-Principles Equation of State and Electronic Properties of Warm Dense Oxygen text January 2016
First-Principles Simulations of Warm Dense Lithium Fluoride text January 2017
First-principles Equation of State and Shock Compression Predictions of Warm Dense Hydrocarbons text January 2017
Phase transitions in MgSiO3 post-perovskite in super-Earth mantles text January 2017
Calculation of a Deuterium Double Shock Hugoniot from Ab initio Simulations text January 2001
First Principles Calculations of Shock Compressed Fluid Helium text January 2006