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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

In this paper, a recently developed analytical equation of state (EOS) is used to investigate the bulk modulus of compressed liquid cesium and to locate common compression factor and the bulk modulus quiescence point(s). This EOS is applied…

Materials Science · Physics 2007-05-23 M. H. Ghatee , M. Bahadori

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

We have performed elasticity measurements in the bulk multiferroic BiFeO3 (BFO) using acoustical pump and probe spectroscopy. The sound velocities of the (quasi)-longitudinal and of the two (quasi)-transverse acoustic waves along three…

Based on the survey of the literatures on the new improvements on the equation of state (EOS) for the hard sphere fluids, we here compare lots of different EOSs and present a very accurate equation of state for this kind of fluids. The new…

Soft Condensed Matter · Physics 2025-12-08 Can Cui , Jianxiang Tian

Numerical simulations of compressible fluid flows require an equation of state (EOS) to relate the thermodynamic variables of density, internal energy, temperature, and pressure. A valid EOS must satisfy the thermodynamic conditions of…

Computational Physics · Physics 2009-11-11 Gary A. Dilts

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

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

Equations of State (EoS) for fluids have been a staple of engineering design and practice for over a century. Available EoS are based on the fitting of a closed-form analytical expression to suitable experimental data. The underlying…

Computational Physics · Physics 2020-07-30 Kezheng Zhu , Erich A. Müller

Quantum molecular dynamic (QMD) simulations have been applied to study the thermophysical properties of liquid xenon under dynamic compressions. The equation of state (EOS) obtained from QMD calculations are corrected according to Saha…

Materials Science · Physics 2010-05-13 Cong Wang , Yun-Jun Gu , Qi-Feng Chen , Xian-Tu He , Ping Zhang

Most cellular solids are random materials, while practically all theoretical results are for periodic models. To be able to generate theoretical results for random models, the finite element method (FEM) was used to study the elastic…

Materials Science · Physics 2007-05-23 Anthony Roberts , Ed Garboczi

A simple method for determining the thermal component of the EOS of solids under high pressure is proposed.Application to the interior of the Earth gives results in agreement with recent geophysical data.

Astrophysics · Physics 2009-10-31 V. Celebonovic

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…

In this paper, we give a direct method for calculating the partition function, and hence the equation of state (EOS) of Quantum Chromodynamics (QCD) at finite chemical potential and zero temperature. In the EOS derived in this paper the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Hong-shi Zong , Wei-min Sun

Connectedness and applied stress strongly affect elasticity in solids. In various amorphous solids, mechanical stability can be lost either by reducing connectedness or by increasing pressure. We present an effective medium theory of…

Soft Condensed Matter · Physics 2014-12-18 Eric DeGiuli , Adrien Laversanne-Finot , Gustavo Düring , Edan Lerner , Matthieu Wyart

Ultrasonic experiments allow one to measure the elastic modulus of bulk solid or fluid samples. Recently such experiments have been carried out on fluid-saturated nanoporous glass to probe the modulus of a confined fluid. In our previous…

Chemical Physics · Physics 2016-11-23 Gennady Y. Gor , Daniel W. Siderius , Vincent K. Shen , Noam Bernstein

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

Equation of state (EOS) for bcc tungsten at 300 K (or 3000 K) up to 1000 GPa (or 300 GPa) was predicted for the first time by solving the partition function via a direct integral approach (DIA) with ab initio calculations of the atoms'…

Materials Science · Physics 2022-11-02 Yue-Yue Tian , Bo-Yuan Ning , X. -D. Xiang , Hui-Fen Zhang , Xi-Jing Ning

The finite element method (FEM) is used to study the influence of porosity and pore shape on the elastic properties of model porous ceramics. The Young's modulus of each model was found to be practically independent of the solid Poisson's…

Materials Science · Physics 2007-05-23 Anthony P. Roberts , Edward J. Garboczi

Boyle's 1662 observation that the volume of a gas is, at constant temperature, inversely proportional to pressure, offered a prototypical example of how an equation of state (EoS) can succinctly capture key properties of a many-particle…

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