Theoretical Model for the High-Pressure Melting Process of MgO with the B1 Structure

MgO is an abundant mineral in the rocky mantle of terrestrial planets, but its melting behaviors remain enigmatic. Here we introduce a simple theoretical model to investigate the B1-liquid transition of MgO up to 370 GPa. Vibrational free energies of B1-MgO are fully computed by the moment recurrenc...

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Bibliographic Details
Published inarXiv.org
Main Authors Tran, Dinh Cuong, Phan, Anh D
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 06.04.2021
Subjects
Bulk modulus
Equivalence principle
Magnesium oxide
Melt temperature
Melting
Planetary evolution
Quantum statistics
Terrestrial planets
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Summary:MgO is an abundant mineral in the rocky mantle of terrestrial planets, but its melting behaviors remain enigmatic. Here we introduce a simple theoretical model to investigate the B1-liquid transition of MgO up to 370 GPa. Vibrational free energies of B1-MgO are fully computed by the moment recurrence technique in quantum statistical physics. On that basis, we associate the melting temperature with the isothermal bulk modulus via the work-heat equivalence principle. This strategy allows us to quantitatively explain recent experimental data. Our numerical analyses would yield insights into planetary dynamics and evolution.
ISSN:2331-8422