Equation-of-state and melting curve of solid neon and argon up to 100 GPa

Nghĩa, Nguyễn Văn; Hieu, Ho Khac; Phuong, Duong Dai

doi:10.1016/j.vacuum.2021.110725

Cited by 7 publications

(2 citation statements)

References 38 publications

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“…Interestingly, the SMM enables us to associate the first-order moment ( u i ) with its highorder counterparts ( u 2 i and u 3 i ) via [29][30][31]…”

Section: Equation Of Statementioning

confidence: 99%

“…Lately, the statistical moment method (SMM) has emerged as a promising quantummechanical tool for predicting the melting behaviors of metallic systems [26][27][28]. The SMM can describe the atomic rearrangement under various thermodynamic conditions via the quantum density matrix [29][30][31]. Based on the SMM equation of state (EOS), one often locates the melting point by analyzing the instability of the solid phase [26][27][28].…”

Section: Introductionmentioning

confidence: 99%

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Theoretical predictions of melting behaviors of hcp iron up to 4000 GPa

Cuong,

Hoc,

Trung

et al. 2022

Preprint

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The high-pressure melting diagram of iron is a vital ingredient for the geodynamic modeling of planetary interiors. Nonetheless, available data for molten iron show an alarming discrepancy.Herein, we propose an efficient one-phase approach to capture the solid-liquid transition of iron under extreme conditions. Our basic idea is to extend the statistical moment method to determine the density of iron in the TPa region. On that basis, we adapt the work-heat equivalence principle to appropriately link equation-of-state parameters with melting properties. This strategy allows explaining cutting-edge experimental and ab initio results without massive computational workloads. Our theoretical calculations would be helpful to constrain the chemical composition, internal dynamics, and thermal evolution of the Earth and super-Earths.

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“…Interestingly, the SMM enables us to associate the first-order moment ( u i ) with its highorder counterparts ( u 2 i and u 3 i ) via [29][30][31]…”

Section: Equation Of Statementioning

confidence: 99%