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The relationships among the pressure P, volume V, and temperature T of solid-state materials are described by their equations of state (EOSs), which are often derived from the consideration of the finite-strain energy or the interatomic…

Materials Science · Physics 2016-12-19 Elijah E. Gordon , Juergen Koehler , Myung-Hwan Whangbo

We propose a new form for equations of state (EOS) of thermodynamic systems in the Ising universality class. The new EOS guarantees the correct universality and scaling behavior close to critical points and is formulated in terms of the…

Statistical Mechanics · Physics 2014-02-07 Arnold Neumaier

The equation of state (EOS) of dense matter is an essential ingredient for numerical simulations of core-collapse supernovae and neutron star mergers. The properties of matter near and above nuclear saturation density are uncertain, which…

High Energy Astrophysical Phenomena · Physics 2017-12-13 Andre da Silva Schneider , Luke F. Roberts , Christian D. Ott

We have constructed a nuclear equation of state (EOS) that includes a full nuclear ensemble for use in core-collapse supernova simulations. It is based on the EOS for uniform nuclear matter that two of the authors derived recently, applying…

High Energy Astrophysical Phenomena · Physics 2017-08-01 S. Furusawa , H. Togashi , H. Nagakura , K. Sumiyoshi , S. Yamada , H. Suzuki , M. Takano

This report presents new EOS and strength models for use in numerical hydrocode simulations of dust impacts on the NASA solar probe space vehicle. This spacecraft will be subjected to impact at velocities up to 300 km/s, producing pressures…

Earth and Planetary Astrophysics · Physics 2013-07-01 Gerald I. Kerley

An anisotropic equation of state (EOS) is proposed for the accurate extrapolation of high-pressure shock Hugoniot (anisotropic and isotropic) states to other thermodynamic (anisotropic and isotropic) states for a shocked carbon-fibre epoxy…

Materials Science · Physics 2015-05-14 Alexander A. Lukyanov

An electro-chemo-mechanical phase-field formulation is developed to simulate pitting and stress corrosion in polycrystalline materials. The formulation incorporates dependencies of mechanical properties and corrosion potential on…

Computational Engineering, Finance, and Science · Computer Science 2024-04-01 M. Makuch , S. Kovacevic , M. R. Wenman , E. Martínez-Pañeda

In order to verify and validate the newly developed thermoelectron equation of state (EOS) model that is based on the Wu-Jing (W-J) EOS, calculations of shock compression behavior have been made on five different porous metals-iron, copper,…

Materials Science · Physics 2012-03-06 H. Y. Geng , Q. Wu , H. Tan , L. Cai , F. Jing

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

We present a multiscale simulation framework that couples the Finite Element Method with molecular dynamics. Bypassing traditional equations of state (EOS) by using in-line atomistic simulations, the method offers the advantage of…

We construct the equation of state (EOS) of dense matter covering a wide range of temperature, proton fraction, and density for the use of core-collapse supernova simulations. The study is based on the relativistic mean-field (RMF) theory,…

High Energy Astrophysical Phenomena · Physics 2012-03-26 H. Shen , H. Toki , K. Oyamatsu , K. Sumiyoshi

Numerical simulations of high energy-density experiments require equation of state (EOS) models that relate a material's thermodynamic state variables -- specifically pressure, volume/density, energy, and temperature. EOS models are…

Data Analysis, Statistics and Probability · Physics 2024-02-26 Himanshu Sharma , Jim A. Gaffney , Dimitrios Tsapetis , Michael D. Shields

Impacts between planetary-sized bodies can explain the origin of satellites orbiting large ($R>500$~km) trans-Neptunian objects. Their water rich composition, along with the complex phase diagram of water, make it important to accurately…

Earth and Planetary Astrophysics · Physics 2021-09-14 Yonatan Shimoni , Oded Aharonson , Raluca Rufu

We present a new theoretical and computational framework for modelling electro-chemo-mechanical fracture. The model combines a phase field description of fracture with a fully coupled characterisation of electrolyte behaviour, surface…

Computational Engineering, Finance, and Science · Computer Science 2023-08-02 T. Hageman , E. Martínez-Pañeda

A new equation of state (EOS) is developed for porous materials in which contribution of electrons is considered explicitly. This EOS describes anomalous behaviour of hugoniot of porous substances as observed experimentally. Using this EOS,…

Materials Science · Physics 2014-09-29 Bishnupriya Nayak

We discuss major challenges in modeling giant impacts between planetary bodies, focusing on the equations of state (EOS). During the giant impact stage of planet formation, rocky planets are melted and partially vaporized. However, most EOS…

Simple and robust algorithms are developed for compressible Euler equations with the stiffened gas equation of state (EOS), representing gaseous mixtures in thermal equilibrium and without chemical reactions. These algorithms use a fully…

Numerical Analysis · Mathematics 2021-03-08 Ramesh Kolluru , S V Raghurama Rao , G N Sekhar

A thermodynamic equation of state (EOS) for thermoelectrons is derived which is appropriate for investigating the thermodynamic variations along isobaric paths. By using this EOS and the Wu-Jing (W-J) model, an extended Hugoniot EOS model…

Other Condensed Matter · Physics 2012-03-06 H. Y. Geng , Q. Wu , H. Tan , L. Cai , F. Jing

We report a new microscopic equation of state (EOS) of dense symmetric nuclear matter, pure neutron matter, and asymmetric and $\beta$-stable nuclear matter at zero temperature using recent realistic two-body and three-body nuclear…

High Energy Astrophysical Phenomena · Physics 2018-05-31 Ignazio Bombaci , Domenico Logoteta

Physics-based first-principles pressure-volume-temperature equations of state (EOS) exist for solids and gases but not for liquids due to the long-standing fundamental problems involved in liquid theory. Current EOS models that are…

Soft Condensed Matter · Physics 2024-12-24 J. E. Proctor , K. Trachenko
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