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Related papers: Equation of state and strength of diamond in high …

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Appropriate candidates of the metallic sheet used for the electrodes of diamond semiconductor are investigated using computational approaches based on density functional theory (DFT). For twenty kinds of metallic elements $x$, we modeled a…

Materials Science · Physics 2017-09-12 Tom Ichibha , Kenta Hongo , Isaac Motochi , Nicholas W. Makau , George O. Amolo , Ryo Maezono

We combine density functional theory within the local density approximation, the quasiharmonic approximation, and vibrational density of states to calculate single crystal elastic constants, and bulk and shear moduli of diamond at…

Materials Science · Physics 2015-06-05 M. Núñez Valdez , K. Umemoto , R. M. Wentzcovitch

We present a 5-phase equation of state (EOS) for elemental carbon. The phases considered are: diamond, BC8, simple-cubic, simple-hexagonal, and the liquid/plasma state. The solid phase free energies are constrained by density functional…

Density Functional Theory (DFT) is a robust framework for modeling interacting many-body systems, including the equation of state (EoS) of dense matter. Many models, however, rely on energy functionals based on assumptions that have not…

Nuclear Theory · Physics 2025-06-06 Udita Shukla , Pok Man Lo

We perform density functional theory (DFT) calculations of five solid phases and the liquid phase of tin. The calculations include cold curves of the five solid phases, phonon calculations in the quasi-harmonic approximation over a range of…

Materials Science · Physics 2021-05-12 Daniel A. Rehn , Carl W. Greeff , Leonid Burakovsky , Daniel G. Sheppard , Scott D. Crockett

Platinum is widely used as a pressure calibration standard. However, the established thermal EOS has uncertainties, especially in the high $P$-$T$ range. We use density functional theory to calculate the thermal equation of state of…

Materials Science · Physics 2008-07-29 Tao Sun , Koichiro Umemoto , Zhongqing Wu , Jin-Cheng Zheng , Renata M. wentzcovitch

We derive a continuum-level plasticity model for polycrystalline materials in the high energy density regime, based on a single dislocation density and single mobility mechanism, with an evolution model for the dislocation density. The…

Ramp compression experiments characterize high-pressure states of matter at temperatures well below those present in shock compression. However, because temperature is typically not directly measured during ramp compression, it is uncertain…

Materials Science · Physics 2021-10-14 F. González-Cataldo , B. K. Godwal , Kevin Driver , Raymond Jeanloz , Burkhard Militzer

This study introduces a framework that employs Gaussian Processes (GPs) to develop high-fidelity equation of state (EOS) tables, essential for modeling material properties across varying temperatures and pressures. GPs offer a robust…

Materials Science · Physics 2026-04-14 Lin H. Yang , James A. Gaffney

High-fidelity shock experiments were performed on copper powders with controlled porosity via improved target fabrication and assembly. Optical velocimetry and multi-channel pyrometry were used to obtain Hugoniot data, isentropic release…

Applied Physics · Physics 2025-11-25 Yufeng Wang , Long Hao , Lixin Liu , Fengchao Wu , Shijia Ye , Yuanchao Gan , Yi Sun , Hua Y. Geng

Wide range equation of state (EOS) for liquid hydrogen is ultimately built by combining two kinds of density functional theory (DFT) molecular dynamics simulations, namely, first-principles molecular dynamics simulations and orbital-free…

Materials Science · Physics 2015-06-16 Cong Wang , Ping Zhang

The equation of state (EOS) of materials at warm dense conditions poses significant challenges to both theory and experiment. We report a combined computational, modeling, and experimental investigation leveraging new theoretical and…

The pressure-induced phase transition, elasticity behavior, thermodynamic properties, and $P\mathtt{-}T$ phase diagram of $\alpha$, $\omega$, and $\beta$ equiatomic HfTi alloy are investigated using first-principles density-functional…

Materials Science · Physics 2012-11-05 Yong Lu , Ping Zhang

Ru and Rh are interesting cases for comparing equations of state (EOS), because most general purpose EOS are semi-empirical, relying heavily on shock data, and none has been reported for Ru. EOS were calculated for both elements using…

Simulations in the warm dense matter regime using finite temperature Kohn-Sham density functional theory (FT-KS-DFT), while frequently used, are computationally expensive due to the partial occupation of a very large number of high-energy…

Materials Science · Physics 2018-04-04 Yael Cytter , Eran Rabani , Daniel Neuhauser , Roi Baer

We present an updated general purpose nuclear equation of state (EoS) for use in simulations of core-collapse supernovae, neutron star mergers and black hole collapse. This EoS is formulated in the context of Density Functional Theory (DFT)…

Equations of state (EOS) calculated from a computationally efficient atom-in-jellium treatment of the electronic structure have recently been shown to be consistent with more rigorous path integral Monte Carlo (PIMC) and quantum molecular…

We propose a means for constructing highly accurate equations of state (EOS) for elemental solids and liquids essentially from first principles, based upon a particular decomposition of the underlying condensed matter Hamiltonian for the…

Materials Science · Physics 2009-11-07 Eric D. Chisolm , Scott D. Crockett , Duane C. Wallace

A robust density fitting method for calculating Coulomb matrix elements over Bloch functions based on calculation of two- and three-center matrix elements of the Ewald potential is described and implemented in a Gaussian orbital basis in…

Materials Science · Physics 2021-02-03 Charles H. Patterson

We study the zero-temperature equation of state (EOS) of solid 4He in the hexagonal closed packet (hcp) phase over the 0-57 GPa pressure range by means of the Diffusion Monte Carlo (DMC) method and the semi-empirical Aziz pair potential…

Other Condensed Matter · Physics 2015-05-13 C. Cazorla , J. Boronat
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