Abstract
A simple equation of state model for metals at high temperature and pressure is described. The model consists of zero-temperature isotherm, thermal ionic components, and thermal electronic components, and is applicable in compressed as well as expanded volume regions. The three components of the model, together with appropriate correction terms, are described in detail using Cu as a prototype example. Shock wave Hugoniot, critical point parameters, liquid–vapor phase diagram, isobaric expansion, etc., are evaluated and compared with experimental data for Cu. The semianalytical model is expected to be useful to prepare extended tables for use in hydrodynamics calculations in high-energy-density physics.
Highlights
Equation of State (EOS) of materials is an inevitable ingredient in several fields of solid state science like geophysics, hydrodynamic applications for the analysis of inertial confinement fusion systems, stellar structures, nuclear weapons, etc
The global EOS model we describe below, which is applicable even at very high temperatures and pressures in the compressed as well as expanded volume states, uses different parameters obtained from Density-functional theory (DFT) analyses, when accurate experimental data on these are unavailable
The main aim of this paper is to discuss the basic components of an EOS model for metals for high-pressure physics applications
Summary
Equation of State (EOS) of materials is an inevitable ingredient in several fields of solid state science like geophysics, hydrodynamic applications for the analysis of inertial confinement fusion systems, stellar structures, nuclear weapons, etc. Euler equations of hydrodynamics, which expresses conservation laws of mass, momentum, and energy, are routinely used to describe the dynamical behavior of materials [1] These equations describe the space-time evolution of four thermodynamic variables—viz., mass density (or specific volume), material velocity, specific internal energy, and pressure. A more complete EOS is specified by providing pressure and specific internal energy as functions of density and temperature. Specific volume is expressed in terms of enthalpy using the enthalpy–parameter which depends on pressure This class of EOS, generally called enthalpy-based EOS, has been developed to model shock compression of porous materials [4], including explicit accounting of electronic effects [5]. Good agreement obtained shows that the model can be employed to prepare extended EOS tables for use in hydrodynamics calculations
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