Shock compression of preheated silicate liquids: Apparent universality of increasing Grüneisen parameter upon compression

Asimow, Paul D.

doi:10.1063/1.3686420

Cited by 9 publications

(9 citation statements)

References 14 publications

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“…We further expect that particularly open low density structures with low cation coordination numbers, such as liquid silica, should demonstrate markedly strong Grü neisen parameter evolution, reflecting the large initial contrast between the liquid and solid structures. This matches the experimentally observed and theoretically calculated behavior of silica, which evolves from c ¼ 0 at ambient pressure to c $ 1 at two-fold compression (Asimow, 2012;de Koker and Stixrude, 2009).…”

Section: Mode Grüneisen Termssupporting

confidence: 78%

“…They also found a strong positive correlation with temperature, much like our findings for MgO, in contrast to the near temperature-independent behavior of solids. Since then, similar behavior has been seen for a wide array of liquids, including: cryogenic Ar; organic solvents like pentane, ethanol and methanol; metallic liquids like mercury; and a variety of silicates in the CMASF compositional system (Boehler and Ramakrishnan, 1980;Brown et al, 1987;Amoros et al, 1988;Asimow, 2012).…”

Section: Understanding the Grü Neisen Parameter Evolution Of Liquidsmentioning

confidence: 68%

“…Even for oxide or silicate melts, it does not provide testable quantitative estimates, as it relies on a qualitative interpolation argument. This uncertainty is most notable for molten silica with c ¼ 0 at ambient pressure (Asimow, 2012), in contrast to its low-pressure solid polymorphs which show a wide-range of values of roughly 0, 0.3, and 0.6 for a-quartz, coesite, and b-quartz, respectively, despite all possessing four-coordinated silica tetrahedra (Boehler, 1982;Hemley, 1987;Williams et al, 1993;Welche et al, 1998).…”

Section: Mode Grüneisen Termsmentioning

confidence: 95%

“…Recent first-principles theoretical calculations and experimental shock-wave investigations (Mosenfelder et al, 2009;Stixrude et al, 2009) indicate that the adiabatic profiles of molten MgSiO 3 as well as a wide collection of other silicate melts (Asimow, 2012;Thomas et al, 2012) are significantly steeper than previously thought. Giant impact simulations indicate that events like the moon-forming impact efficiently deliver heat to great depths, supporting the possibility of a deep potentially whole-mantle magma ocean early in Earth's history (Nakajima and Stevenson, 2014).…”

Section: Introductionmentioning

confidence: 90%

“…Shock wave experiments indicate that all silicate liquids maintain much steeper adiabatic profiles at extreme pressures than their solid counterparts (Asimow, 2012;Thomas et al, 2012). This is a consequence of the compression behavior of the thermodynamic Grü neisen parameter c:…”

Section: Introductionmentioning

confidence: 98%

See 4 more Smart Citations

Coordinated Hard Sphere Mixture (CHaSM): A simplified model for oxide and silicate melts at mantle pressures and temperatures

Wolf

Asimow

Stevenson

2015

Geochimica et Cosmochimica Acta

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We develop a new model to understand and predict the behavior of oxide and silicate melts at extreme temperatures and pressures, including deep mantle conditions like those in the early Earth magma ocean. The Coordinated Hard Sphere Mixture (CHaSM) is based on an extension of the hard sphere mixture model, accounting for the range of coordination states available to each cation in the liquid. By utilizing approximate analytic expressions for the hard sphere model, this method is capable of predicting complex liquid structure and thermodynamics while remaining computationally efficient, requiring only minutes of calculation time on standard desktop computers. This modeling framework is applied to the MgO system, where model parameters are trained on a collection of crystal polymorphs, producing realistic predictions of coordination evolution and the equation of state of MgO melt over a wide range of pressures and temperatures. We find that the typical coordination number of the Mg cation evolves continuously upward from 5.25 at 0 GPa to 8.5 at 250 GPa. The results produced by CHaSM are evaluated by comparison with predictions from published first-principles molecular dynamics calculations, indicating that CHaSM is accurately capturing the dominant physics controlling the behavior of oxide melts at high pressure. Finally, we present a simple quantitative model to explain the universality of the increasing Grü neisen parameter trend for liquids, which directly reflects their progressive evolution toward more compact solid-like structures upon compression. This general behavior is opposite that of solid materials, and produces steep adiabatic thermal profiles for silicate melts, thus playing a crucial role in magma ocean evolution.

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Section: Mode Grüneisen Termssupporting

confidence: 78%

Section: Understanding the Grü Neisen Parameter Evolution Of Liquidsmentioning

confidence: 68%

Section: Mode Grüneisen Termsmentioning

confidence: 95%

Section: Introductionmentioning

confidence: 90%

Section: Introductionmentioning

confidence: 98%

See 3 more Smart Citations

Coordinated Hard Sphere Mixture (CHaSM): A simplified model for oxide and silicate melts at mantle pressures and temperatures

Wolf

Asimow

Stevenson

2015

Geochimica et Cosmochimica Acta

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Evaluating blast wave overpressure from non‐spherical charges using time of arrival from high‐speed video

Johnson

Williams

2023

Propellants Explo Pyrotec

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Scaled distance is used to predict blast wave overpressure surrounding the detonation of a known mass of explosive under the assumption that the charge geometry is spherical. Altering charge geometry from spherical overdrives regions of the blast wave resulting in areas of higher overpressures than predicted by scaled distance calculations. Empirical data can be used to scale the blast wave overpressure to cylindrical charges, but available overpressure data for more complex geometries is not available in published literature. In the present study the time of arrival of the blast wave was measured from high-speed video and the Rankine-Hugoniot relationship used to measure blast wave overpressure for varied explosive geometries. The radial overpressure of prismatic charges with cross-sectional shapes of triangle, rectangle, and 5-point star isotropic were compared to the radially isotropic overpressure distribution produced by a cylindrical explosive charge. The rectangle produced the highest overpressure measuring 3.5 times that of the cylinder while the triangular charge had the greatest presented surface area and was only overdriven 3.0 times. From the high-speed video the fireball of detonation products surrounding the star appears significantly overdriven from the internal angle, but this orientation was underdriven at 2.0 meters. The blast wave overpressure downstream from the outside corners of the rectangular and triangular prismatic charges were similar to that of the cylinder at 1.5 meters but trended higher at increasing distance.

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Theoretical models and experimental determination methods for equations of state of silicate melts: A review

Juntao

Liu

2019

Sci. China Earth Sci.

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Shock compression of preheated silicate liquids: Apparent universality of increasing Grüneisen parameter upon compression

Cited by 9 publications

References 14 publications

Coordinated Hard Sphere Mixture (CHaSM): A simplified model for oxide and silicate melts at mantle pressures and temperatures

Coordinated Hard Sphere Mixture (CHaSM): A simplified model for oxide and silicate melts at mantle pressures and temperatures

Evaluating blast wave overpressure from non‐spherical charges using time of arrival from high‐speed video

Theoretical models and experimental determination methods for equations of state of silicate melts: A review

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