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Title: The shock physics of giant impacts: Key requirements for the equations of state

Abstract

Here, we discuss major challenges in modeling giant impacts between planetary bodies, focusing on the equations of state (EOS). During the giant impact stage of planet formation, rocky planets are melted and partially vaporized. Yet, most EOS models fail to reproduce experimental constraints on the thermodynamic properties of the major minerals over the required phase space. In this research, we present an updated version of the widely-used ANEOS model that includes a user-defined heat capacity limit in the thermal free energy term. Our revised model for forsterite (Mg2SiO4), a common proxy for the mantles of rocky planets, provides a better fit to material data over most of the phase space of giant impacts. We discuss the limitations of this model and the Tillotson equation of state, a commonly used alternative model.

Authors:
 [1];  [1];  [1];  [2];  [3];  [3];  [4];  [5];  [6]
  1. Univ. of California, Davis, CA (United States)
  2. California Institute of Technology (CalTech), Pasadena, CA (United States)
  3. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
  4. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  5. National Center for Scientific Research, Lyon (France)
  6. Harvard Univ., Cambridge, MA (United States)
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States); Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States); Univ. of California, San Diego, La Jolla, CA (United States); Univ. of California, San Diego, CA (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA); National Aeronautics and Space Administration (NASA)
OSTI Identifier:
1738918
Alternate Identifier(s):
OSTI ID: 1574133; OSTI ID: 1633881
Report Number(s):
SAND-2019-8839J
Journal ID: ISSN 0094-243X; 677980; TRN: US2205389
Grant/Contract Number:  
AC04-94AL85000; AC52-07NA27344; NA0002937; NA0003525; NA0003842
Resource Type:
Accepted Manuscript
Journal Name:
AIP Conference Proceedings
Additional Journal Information:
Journal Volume: 2272; Journal Issue: 1; Conference: Shock Compression of Condensed Matter - 2019, Portland, OR (United States), 16–21 Jun 2019; Journal ID: ISSN 0094-243X
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; equations of state; thermodynamic properties; planet formation; minerals

Citation Formats

Stewart, Sarah, Davies, Erik, Duncan, Megan, Lock, Simon, Root, Seth, Townsend, Joshua, Kraus, Richard, Caracas, Razvan, and Jacobsen, Stein. The shock physics of giant impacts: Key requirements for the equations of state. United States: N. p., 2020. Web. doi:10.1063/12.0000946.
Stewart, Sarah, Davies, Erik, Duncan, Megan, Lock, Simon, Root, Seth, Townsend, Joshua, Kraus, Richard, Caracas, Razvan, & Jacobsen, Stein. The shock physics of giant impacts: Key requirements for the equations of state. United States. https://doi.org/10.1063/12.0000946
Stewart, Sarah, Davies, Erik, Duncan, Megan, Lock, Simon, Root, Seth, Townsend, Joshua, Kraus, Richard, Caracas, Razvan, and Jacobsen, Stein. Wed . "The shock physics of giant impacts: Key requirements for the equations of state". United States. https://doi.org/10.1063/12.0000946. https://www.osti.gov/servlets/purl/1738918.
@article{osti_1738918,
title = {The shock physics of giant impacts: Key requirements for the equations of state},
author = {Stewart, Sarah and Davies, Erik and Duncan, Megan and Lock, Simon and Root, Seth and Townsend, Joshua and Kraus, Richard and Caracas, Razvan and Jacobsen, Stein},
abstractNote = {Here, we discuss major challenges in modeling giant impacts between planetary bodies, focusing on the equations of state (EOS). During the giant impact stage of planet formation, rocky planets are melted and partially vaporized. Yet, most EOS models fail to reproduce experimental constraints on the thermodynamic properties of the major minerals over the required phase space. In this research, we present an updated version of the widely-used ANEOS model that includes a user-defined heat capacity limit in the thermal free energy term. Our revised model for forsterite (Mg2SiO4), a common proxy for the mantles of rocky planets, provides a better fit to material data over most of the phase space of giant impacts. We discuss the limitations of this model and the Tillotson equation of state, a commonly used alternative model.},
doi = {10.1063/12.0000946},
journal = {AIP Conference Proceedings},
number = 1,
volume = 2272,
place = {United States},
year = {Wed Nov 04 00:00:00 EST 2020},
month = {Wed Nov 04 00:00:00 EST 2020}
}

Works referenced in this record:

Accretion of the Earth
journal, September 2008

  • Canup, Robin M.
  • Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 366, Issue 1883
  • DOI: 10.1098/rsta.2008.0101

A hydrocode equation of state for SiO 2
journal, December 2007


The origin of the Moon and the single-impact hypothesis III
journal, September 1989


Dissociation of Liquid Silica at High Pressures and Temperatures
journal, July 2006


Terrestrial magma ocean origin of the Moon
journal, April 2019


Compression of Solids by Strong Shock Waves
book, January 1958


The phonon theory of liquid thermodynamics
journal, May 2012

  • Bolmatov, D.; Brazhkin, V. V.; Trachenko, K.
  • Scientific Reports, Vol. 2, Issue 1
  • DOI: 10.1038/srep00421

Lunar-forming impacts: High-resolution SPH and AMR-CTH simulations
journal, January 2013


Shock vaporization of silica and the thermodynamics of planetary impact events: SHOCK VAPORIZATION OF SILICA
journal, September 2012

  • Kraus, R. G.; Stewart, S. T.; Swift, D. C.
  • Journal of Geophysical Research: Planets, Vol. 117, Issue E9
  • DOI: 10.1029/2012JE004082

Geophysical consequences of planetary-scale impacts into a Mars-like planet
journal, February 2011


Forming a Moon with an Earth-like Composition via a Giant Impact
journal, October 2012


High-temperature thermodynamic properties of forsterite
journal, January 1991

  • Gillet, Philippe; Richet, Pascal; Guyot, François
  • Journal of Geophysical Research, Vol. 96, Issue B7
  • DOI: 10.1029/91JB00680

On the origin of Earth's Moon: ORIGIN OF EARTH'S MOON
journal, September 2016

  • Barr, Amy C.
  • Journal of Geophysical Research: Planets, Vol. 121, Issue 9
  • DOI: 10.1002/2016JE005098

Making the Moon from a Fast-Spinning Earth: A Giant Impact Followed by Resonant Despinning
journal, October 2012


Silicate Melting and Vaporization During Rocky Planet Formation
journal, February 2020

  • Davies, E. J.; Carter, P. J.; Root, S.
  • Journal of Geophysical Research: Planets, Vol. 125, Issue 2
  • DOI: 10.1029/2019JE006227

The origin of the Moon and the single-impact hypothesis III
journal, September 1989


Thermodynamic properties of Mg 2 SiO 4 liquid at ultra-high pressures from shock measurements to 200 GPa on forsterite and wadsleyite
journal, January 2007

  • Mosenfelder, Jed L.; Asimow, Paul D.; Ahrens, Thomas J.
  • Journal of Geophysical Research, Vol. 112, Issue B6
  • DOI: 10.1029/2006jb004364

The phonon theory of liquid thermodynamics
journal, May 2012

  • Bolmatov, D.; Brazhkin, V. V.; Trachenko, K.
  • Scientific Reports, Vol. 2, Issue 1
  • DOI: 10.1038/srep00421

Accretion of the Earth
journal, September 2008

  • Canup, Robin M.
  • Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 366, Issue 1883
  • DOI: 10.1098/rsta.2008.0101