An overview of the problems connected with theoretical calculations for hot plasmas

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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Computerized Simulation, High Temperature Plasmas, Mathematical Models, Statistical Mechanics, Thermodynamic Equilibrium, Absorption Cross Sections, Dirac Equation, Electron Energy, Photoabsorption, Plasma Density, Plasma Temperature, Schroedinger Equation, Thomas-Fermi Model, Wave Functions

Scientific paper

Theoretical and computational problems encountered in opacity calculations for hot plasmas are discussed in terms of the local thermodynamic equilibrium (LTE). Computers are noted to have extended calculations from the exclusive use of hydrogenic models by the computation of temperature and density dependent Thomas-Fermi-Dirac electronic potentials for a radiating ion, and then using the potential to solve the Schroedinger or Dirac equation for electron energies and wave functions. However, only averaged statistical quantities are available through this method, and detailed configuration accounting (DCA) is lacking, needing too many computational steps to resolve all possible angular momentum states. When the plasma reaches LTE, then Rosseland mean opacity is useful for expressing the reciprocal average of the photoabsorption cross section, while no approximation is as yet available for accurate estimations of all bound and free states.

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