Equation of state for partially ionized carbon at high temperatures
arXiv:physics/0510006 · doi:10.1103/PhysRevE.72.046402
Abstract
Equation of state for partially ionized carbon at temperatures T > ~ 10^5 K is calculated in a wide range of densities, using the method of free energy minimization in the framework of the chemical picture of plasmas. The free energy model includes the internal partition functions of bound species. The latter are calculated by a self-consistent treatment of each ionization stage in the plasma environment taking into account pressure ionization. The long-range Coulomb interactions between ions and screening of the ions by free electrons are included using our previously published analytical model.
8 pages, 10 figures. Accepted by Phys. Rev. E
References in corpus (5)
- Equation of state of fully ionized electron-ion plasmas. II. Extension to relativistic densities and to the solid phase
- Equation of state of fully ionized electron-ion plasmas
- Monte Carlo results for the hydrogen Hugoniot
- Free-energy model for fluid helium at high density
- Ionization equilibrium of hot hydrogen plasma
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