Equation of State and Conductivity of Hot, Dense Matter

Abstract

The purpose of the research program reported there was to develop and apply a novel method to the calculation of the Equation of State (EOS), Mean Charge State (MCS) (or degree of ionization) and conductivity of dense plasmas of moderately high Z-numbers (Z < 30). The method to be applied was the Thomas- Fermi model, modified and adapted to the dense plasma environment. The innovative elements of the approach are: (1) The plasma environment is represented by the ion-ion and ion-electron correlation functions as source densities in the TF equation. (2) The bound electron density is posited to be zero at the ion boundary: this gives a reasonably defined ion radius, separates free and bound electrons and eliminates both the unphysical extra pressure due to bound electrons (characteristic to the so-called Confined Alom model) and the infinite ion radius (characteristic to the TF-Debye model). (3) The MCS is determined by minimizing the free energy (F) of the combined TF-ion/plasma system, with the proper inclusion of all electron-electron, electron-ion, ion- ion correlations. (4) The method can be combined with the approach of Davis and Blaha, who solved the exact Schrodinger equation for the valence electron in the TF-potential of the core electrons.

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Document Details

Document Type
Technical Report
Publication Date
Dec 31, 1990
Accession Number
ADA243359

Entities

People

  • Gabor J. Kalman

Organizations

  • Boston College

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Density Functional Theory
  • Electron Density
  • Electrons
  • Energy
  • Equations
  • Free Electrons
  • Free Energy
  • High Density
  • Integral Equations
  • Ionization
  • Low Density
  • Schrodinger Equation

Fields of Study

  • Physics

Readers

  • Canine Service Warrior Training Program for Wounded Warriors in the Veterinary Industry, Supported by Donors.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Plasma Physics.

Technology Areas

  • Microelectronics