Equation of State Calculations of Warm Dense MgSiO$_3$

ORAL

Abstract

The equation of state of MgSiO$_3$ is of significant interest in planetary science and high pressure physics. In order to provide a comprehensive theoretical description of this material at extreme conditions, we combine results from path integral Monte Carlo (PIMC) and density functional molecular dynamics simulation, and generate a consistent equation of state for MgSiO$_3$. We consider a wide range of temperature and density conditions ranging from 10$^4$ to 10$^8$ K and 0.1- to 20-fold the ambient density. We derive the shock Hugoniot curve and compare with experimental results. We study how the L and K shell electrons are ionized with increasing temperature and pressure. Finally we analyze the heat capacity and structural properties of the liquid.

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Authors

  • Felipe Gonzalez

    • Department of Earth and Planetary Science, University of California, Berkeley, California 94720, USA

  • Henry Peterson

    • Department of Earth and Planetary Science, University of California, Berkeley, California 94720, USA

  • Francois Soubiran

    • Ecole Normale Superieure de Lyon, Universite Lyon 1, Laboratoire de Geologie de Lyon, CNRS UMR5276, Lyon Cedex 07, 69364, France

  • Burkhard Militzer

    • University of California, Berkeley
    • Department of Earth and Planetary Science, University of California, Berkeley, California 94720, USA