skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: The equation of state and ionization equilibrium of dense aluminum plasma with conductivity verification

Abstract

The equation of state, ionization equilibrium, and conductivity are the most important parameters for investigation of dense plasma. The equation of state is calculated with the non-ideal effects taken into consideration. The electron chemical potential and pressure, which are commonly used thermodynamic quantities, are calculated by the non-ideal free energy and compared with results of a semi-empirical equation of state based on Thomas-Fermi-Kirzhnits model. The lowering of ionization potential, which is a crucial factor in the calculation of non-ideal Saha equation, is settled according to the non-ideal free energy. The full coupled non-ideal Saha equation is applied to describe the ionization equilibrium of dense plasma. The conductivity calculated by the Lee-More-Desjarlais model combined with non-ideal Saha equation is compared with experimental data. It provides a possible approach to verify the accuracy of the equation of state and ionization equilibrium.

Authors:
; ; ; ; ;  [1]
  1. State Key Laboratory of Electrical Insulation and Power Equipment, Xi'an Jiaotong University, Xi'an 710049 (China)
Publication Date:
OSTI Identifier:
22490937
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 22; Journal Issue: 6; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ACCURACY; ALUMINIUM; ELECTRONS; EQUATIONS OF STATE; EXPERIMENTAL DATA; FREE ENERGY; IONIZATION; PLASMA; POTENTIALS; SAHA EQUATION; THOMAS-FERMI MODEL; VERIFICATION

Citation Formats

Wang, Kun, Shi, Zongqian, Shi, Yuanjie, Bai, Jun, Wu, Jian, and Jia, Shenli. The equation of state and ionization equilibrium of dense aluminum plasma with conductivity verification. United States: N. p., 2015. Web. doi:10.1063/1.4922909.
Wang, Kun, Shi, Zongqian, Shi, Yuanjie, Bai, Jun, Wu, Jian, & Jia, Shenli. The equation of state and ionization equilibrium of dense aluminum plasma with conductivity verification. United States. doi:10.1063/1.4922909.
Wang, Kun, Shi, Zongqian, Shi, Yuanjie, Bai, Jun, Wu, Jian, and Jia, Shenli. Mon . "The equation of state and ionization equilibrium of dense aluminum plasma with conductivity verification". United States. doi:10.1063/1.4922909.
@article{osti_22490937,
title = {The equation of state and ionization equilibrium of dense aluminum plasma with conductivity verification},
author = {Wang, Kun and Shi, Zongqian and Shi, Yuanjie and Bai, Jun and Wu, Jian and Jia, Shenli},
abstractNote = {The equation of state, ionization equilibrium, and conductivity are the most important parameters for investigation of dense plasma. The equation of state is calculated with the non-ideal effects taken into consideration. The electron chemical potential and pressure, which are commonly used thermodynamic quantities, are calculated by the non-ideal free energy and compared with results of a semi-empirical equation of state based on Thomas-Fermi-Kirzhnits model. The lowering of ionization potential, which is a crucial factor in the calculation of non-ideal Saha equation, is settled according to the non-ideal free energy. The full coupled non-ideal Saha equation is applied to describe the ionization equilibrium of dense plasma. The conductivity calculated by the Lee-More-Desjarlais model combined with non-ideal Saha equation is compared with experimental data. It provides a possible approach to verify the accuracy of the equation of state and ionization equilibrium.},
doi = {10.1063/1.4922909},
journal = {Physics of Plasmas},
number = 6,
volume = 22,
place = {United States},
year = {Mon Jun 15 00:00:00 EDT 2015},
month = {Mon Jun 15 00:00:00 EDT 2015}
}
  • A new approach to the theoretical computation of the equation of state of dense plasmas and liquid metals is presented. The method uses the author's complete solution of Saha's equation, modified by a correction to the ionization potentials that is based on Ecker and Weizel's solutions of the Schrodinger equations for an electron in a Debye field. At densities relative to solid densities of 0.1, 1.0, and 10.0, the results over a large temperature range are in agreement with results computed using the ThomasFermi (TF) and the Debye- Huckel, Thomas-Fermi (DHTF) models of the atom. Results for iron are comparedmore » with published results. At low temperatures, the perfect gas (NkT) pressures calculated by the author's method fall below the TF pressure; this is to be expected because the TF method does not handle partial ionization correctly. At low densities, pressures calculated by using the correction to the ionization potential discussed here agree exactly with pressures calculated by using the correction to the ionization potentials derived by minimizing free energy. The relative abundances of the ions are also the same. Debye-Huckel pressure corrections and the degeneracy of the free electrons are also considered. (auth)« less
  • No abstract prepared.
  • The dissociative phase transition of fluid nitrogen at pressures in the range 30--110 GPa (0.3--1.1 Mbar), temperatures in the range 4000--14 000 K, densities up to 3.5 g/cm{sup 3}, and internal energies up to 1 MJ/mol was investigated by shock compression. Equation-of-state, shock-temperature, and electrical-conductivity experimental data are presented and analyzed in detail.
  • Absolute measurements of the pressure and the electrical conductivity of expanded copper in the warm dense matter regime ({rho}=0.5-0.3 g/cm{sup 3} and 6000 K<T<30 000 K) are obtained in an isochoric plasma closed-vessel (EPI). Quantum molecular dynamics simulations are found to be in excellent agreement with the experimental results, allowing for a detailed interpretation of the optical conductivities. A shift in energy of the 4s{yields}4p atomic line is explained by the rise of ionization with temperature.
  • The compression behaviors of dense neon and krypton plasmas over a wide pressure-temperature range are investigated by self-consistent fluid variational theory. The ionization degree and equation of state of dense neon and krypton are calculated in the density-temperature range of 0.01–10 g/cm{sup 3} and 4–50 kK. A region of thermodynamic instability is found which is related to the plasma phase transition. The calculated shock adiabat and principal Hugoniot of liquid krypton are in good agreement with available experimental data. The predicted results of shock-compressed liquid neon are presented, which provide a guide for dynamical experiments or numerical first-principle calculations aimed atmore » studying the compression properties of liquid neon in the partial ionization regime.« less