Global Equation of State for Copper

ORAL

Abstract

A new, tabular (S\textsc{esame} format) equation of state for Cu, suitable for use in hydrodynamic simulations, is described and compared to experimental data. Pressures, internal energies, and Helmholtz free energies are tabulated as functions of temperature and density. The new equation of state builds on the theoretical investigations of Greeff, et al., (J. Phys. Chem. Solids \textbf{67}, 2033 (2006)), but extends the range of densities and temperatures covered to 10$^{-5}$-10$^{5}$ g/cc and 0-10$^{8}$K. The static-lattice cold curve is modeled using the semi-empirical Vinet equation near ambient densities, LDA and GGA density-functional predictions at moderate compressions, and Thomas-Fermi-Dirac theory at high compressions. The Johnson ionic model, which smoothly interpolates between Debye-like and ideal-gas behavior, is employed to model contributions from atomic motion, and Thomas-Fermi-Dirac theory is used for contributions from thermal electronic excitations. Predictions for the compressibility, shock Hugoniot, thermal expansion, and heat capacity are compared with experimental data.

Authors

  • Jeffrey Peterson

    Los Alamos National Laboratory

  • Kevin Honnell

    Los Alamos National Laboratory

  • Carl Greeff

    Los Alamos National Laboratory

  • J.D. Johnson

    Los Alamos National Laboratory

  • Jonathan Boettger

    Los Alamos National Laboratory

  • Scott Crockett

    Los Alamos National Laboratory, Los Alamos National Lab