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We generate a new complete equation of state (EOS) of nuclear matter for a wide range of temperatures, densities, and proton fractions ready for use in astrophysical simulations of supernovae and neutron star mergers. Our previous two…

Solar and Stellar Astrophysics · Physics 2015-03-17 G. Shen , C. J. Horowitz , S. Teige

We introduce a general method to merge multidimensional equations of state (EoSs) by combining them in a two-fluid equilibrium statistical mixture in the grand canonical ensemble. The merged grand potential density $\omega$ is built…

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

Recently it was discovered that altering the shape of the meta stable and unstable branches of an equation of state (EOS) can greatly improve the numerical accuracy of liquid and gas densities in the pseudopotential method. Inspired by this…

The liquid regime equation of state of silicon dioxide SiO$_2$ is calculated via quantum molecular dynamics in the density range 5 to 15 g/cc and with temperatures from 0.5 to 100 eV, including the $\alpha$-quartz and stishovite phase…

Materials Science · Physics 2015-09-30 Travis Sjostrom , Scott Crockett

This work extends the one-dimensional radiation-hydrodynamic imploding spherical argon plasma liner simulations of T. J. Awe et al. [Phys. Plasmas 18, 072705 (2011)] by using a detailed tabular equation-of-state (EOS) model, whereas Awe et…

Plasma Physics · Physics 2012-10-10 J. S. Davis , S. C. Hsu , I. E. Golovkin , J. J. MacFarlane , J. T. Cassibry

Mixtures of light elements with heavy elements are important in inertial confinement fusion and planetary science. We explore the physics of molecular scale mixing through a validation study of equation of state (EOS) properties. Density…

Materials Science · Physics 2015-05-20 Rudolph J. Magyar , Seth Root , Kyle Cochrane , Thomas R. Mattsson , Dawn G. Flicker

We show that thermodynamic scaling can be derived by combining the Murnaghan equation of state (EOS) with the generalized entropy theory (GET) of glass formation. In our theory, thermodynamic scaling arises in the non-Arrhenius relaxation…

Soft Condensed Matter · Physics 2021-03-18 Jack F. Douglas , Wen-Sheng Xu

Diamond is used extensively as a component in high energy density experiments, but existing equation of state (EOS) models do not capture its observed response to dynamic loading. In particular, in contrast with first principles theoretical…

All the existing entropy stable (ES) schemes for relativistic hydrodynamics (RHD) in the literature were restricted to the ideal equation of state (EOS), which however is often a poor approximation for most relativistic flows due to its…

Numerical Analysis · Mathematics 2024-09-18 Linfeng Xu , Shengrong Ding , Kailiang Wu

We generate the equation of state (EOS) of solid parahydrogen using a path-integral Monte Carlo (PIMC) simulation based on a highly accurate first-principles adiabatic hindered rotor (AHR) potential energy curve for the parahydrogen dimer.…

Chemical Physics · Physics 2025-06-05 Alexander Ibrahim , Lecheng Wang , Tom Halverson , Robert J Le Roy , Pierre-Nicholas Roy

The SAFT-0 is an equation of state (EOS) that considers the effects of molecular association based on the statistical association fluid theory (SAFT). This EOS recently showed relatively successful calculations of the phase-equilibrium…

Chemical Physics · Physics 2019-10-11 Fawaz Hrahsheh

We study two recently proposed equations of state (EOS) which are obtained from high temperature QCD, and show how they can be adapted to use them for making predictions for relativistic heavy ion collisions. The method involves extracting…

Nuclear Theory · Physics 2014-11-18 Vinod Chandra , Ravindra Kumar , V. Ravishankar

The well-known Carnahan-Starling (CS) equation of state (EoS) [1] for the hard sphere (HS) fluid was derived from a quadratic relation between the integer portions of the virial coefficients, Bn, and their orders, n. Here we extend the…

Soft Condensed Matter · Physics 2021-06-02 Hongqin Liu

The equation of state (EOS) of a low-density porous substance plasma is proposed in the form of continuous media EOS containing, as a pressure control parameter, the degree of plasma homogenization, which is function of the initial porous…

Plasma Physics · Physics 2023-06-28 S. Yu. Guskov , R. A. Yakhin

We generate a second equation of state (EOS) of nuclear matter for a wide range of temperatures, densities, and proton fractions for use in supernovae, neutron star mergers, and black hole formation simulations. We employ full relativistic…

Solar and Stellar Astrophysics · Physics 2011-07-08 G. Shen , C. J. Horowitz , E. O'Connor

Equation of state (EOS) for a pure two-dimensional (2D) Bose gas exhibits a logarithmic dependence on the s-wave scattering length [L. Salasnich, Phys. Rev. Lett. 118, 130402 (2017)]. The pronounced disparity between the EOS of a 2D Bose…

Quantum Gases · Physics 2025-04-11 Xiaoran Ye , Tao Yu , Zhaoxin Liang

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

The equation of state (EOS) for partially ionized carbon, oxygen, and carbon-oxygen mixtures at temperatures 3\times10^5 K <~ T <~ 3\times10^6 K is calculated over a wide range of densities, using the method of free energy minimization in…

Plasma Physics · Physics 2011-11-16 G. Massacrier , A. Y. Potekhin , G. Chabrier

Orbital-free density functional theory (OF-DFT) provides an alternative approach for calculating the molecular electronic energy, relying solely on the electron density. In OF-DFT, both the ground-state density is optimized variationally to…

Chemical Physics · Physics 2023-11-23 Alexandre de Camargo , Ricky T. Q. Chen , Rodrigo A. Vargas-Hernández