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We present ab initio calculations of the high-temperature axial c/a ratio of hexagonal-close-packed (hcp) iron at Earth's core pressures, in order to help interpret the observed seismic anisotropy of the inner core. The calculations are…

Geophysics · Physics 2009-11-10 C. M. S. Gannarelli , D. Alfe , M. J. Gillian

The free energy and other thermodynamic properties of hexagonal-close-packed iron are calculated by direct {\em ab initio} methods over a wide range of pressures and temperatures relevant to the Earth's core. The {\em ab initio}…

Condensed Matter · Physics 2007-05-23 D. Alfe` , G. D. Price , M. J. Gillan

The Earth's inner core plays a vital role in the dynamics of our planet and is itself strongly exposed to dynamic processes as evidenced by a complex pattern of elastic structure. To gain deeper insight into the nature of these processes we…

Geophysics · Physics 2007-05-23 Gerd Steinle-Neumann , Lars Stixrude , R. E. Cohen

Our first-principles calculations show that both the compressional and shear waves of hcp-Fe become elastically isotropic under the high temperatures of Earth inner core conditions, with the variation in sound velocities along different…

Materials Science · Physics 2015-05-14 Xianwei Sha , R. E. Cohen

We compute the c/a lattice strain versus temperature for nonmagnetic hcp iron at high pressures using both first-principles linear response quasiharmonic calculations based on the full potential linear-muffin-tin-orbital (LMTO) method and…

Materials Science · Physics 2009-11-11 Xianwei Sha , R. E. Cohen

We use particle-in-cell (PIC) simulations of a collisionless, electron-ion plasma with a decreasing background magnetic field, $B$, to study the effect of velocity-space instabilities on the viscous heating and thermal conduction of the…

High Energy Astrophysical Phenomena · Physics 2018-02-27 Mario Riquelme , Eliot Quataert , Daniel Verscharen

There has been a long debate on the stable phase of iron under the Earth's inner core conditions. Because of the solid-liquid coexistence at the inner core boundary, the thermodynamic stability of solid phases directly relates to their…

In low-collisionality plasmas, velocity-space instabilities are a key mechanism providing an effective collisionality for the plasma. We use particle-in-cell (PIC) simulations to study the interplay between electron and ion-scale…

Plasma Physics · Physics 2016-08-12 Mario Riquelme , Eliot Quataert , Daniel Verscharen

Earth's inner core exhibits an unusually high Poisson's ratio and noticeable elastic anisotropy. The mechanisms responsible for these features are critical for understanding the evolution of the Earth but remain unclear. This study…

Geophysics · Physics 2016-11-02 Zhongqing Wu

We present quasi-exact ab initio path integral Monte Carlo (PIMC) results for the partial static density responses and local field factors of hydrogen in the warm dense matter regime, from solid density conditions to the strongly compressed…

The crystal structure of iron in the Earth's inner core remains debated. Most recent experiments suggest a hexagonal-close-packed (hcp) phase. In simulations, it has been generally agreed that the hcp-Fe is stable at inner core pressures…

Geophysics · Physics 2018-04-17 Rostislav Hrubiak , Yue Meng , Guoyin Shen

We assess the capability of recently developed foundational atomistic models (FAMs) to simulate iron alloys under the extreme pressures and temperatures of Earth's core. Static equations of state of hexagonal close-packed (hcp) and…

Geophysics · Physics 2026-05-14 Tianqi Wan , Liangrui Wei , Zepeng Wu , Renata M. Wentzcovitch , Yang Sun

We present a new technique which allows the fully {\em ab initio} calculation of the chemical potential of a substitutional impurity in a high-temperature crystal, including harmonic and anharmonic lattice vibrations. The technique uses the…

Materials Science · Physics 2015-06-24 D. Alfe` , G. D. Price , M. J. Gillan

Earth's inner core consists of mainly iron with a bit of light elements. Understanding of its structure and related physical properties has been elusive for both experiment and theory due to its required extremely high pressure and…

Geophysics · Physics 2023-06-02 Bo Gyu Jang , Yu He , Ji Hoon Shim , Ho-kwang Mao , Duck Young Kim

Iron represents the principal constituent of the Earth's core, but its high-pressure melting diagram remains ambiguous. Here we present a simple analytical approach to predict the melting properties of iron under deep-Earth conditions. In…

Materials Science · Physics 2020-12-21 Tran Dinh Cuong , Anh D. Phan

This paper investigates whether observations of seismic anisotropy are compatible with a cubic structure of the inner core Fe alloy. We assume that anisotropy is the result of plastic deformation within a large scale flow induced by…

Geophysics · Physics 2015-06-23 A. Lincot , S. Merkel , Philippe Cardin

$\bullet$ Multiscale model of inner-core anisotropy produced by hcp alloy deformation$\bullet$ 5 to 20% single-crystal elastic anisotropy and plastic deformation by pyramidal slip $\bullet$ Low-degree inner-core formation model with faster…

Geophysics · Physics 2016-03-23 A Lincot , Ph Cardin , R Deguen , Sébastien Merkel

Weakly collisional space plasmas are rarely in local thermal equilibrium and often exhibit non-Maxwellian electron and ion velocity distributions that lead to the growth of microinstabilities, that is, enhanced electric and magnetic fields…

Particle-in-cell (PIC) simulations are widely used as a tool to investigate instabilities that develop between a collisionless plasma and beams of charged particles. However, even on contemporary supercomputers, it is not always possible to…

Plasma Physics · Physics 2015-05-18 A. Bret , M. E. Dieckmann
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