Fig. 1. Electrical conductivity for a fully ionized hydrogen plasma as a function of temperature and density (color-coded). The results from DFT simulations (<106 K) and the original LM model⁴¹ (>106 K) are shown by the circles and those from Eq. (10) using the fitting parameter P(T, ρ_I) are shown by the curves.

Fig. 2. Thermal conductivity for a fully ionized hydrogen plasma as a function of temperature and density (color-coded). The results from DFT simulations are shown by the circles and those from Eq. (10) using the fitting parameter P(T, ρ_I) are shown by the curves.

Fig. 3. Ionization degree α as a function of temperature and density (color-coded). The optimal values for the DFT results are shown by the circles (this work) and diamonds (from Holst et al.²¹), while the best fits for all conditions are shown by the solid curves. For comparison, the resulting α values from the Saha equation are shown by the dashed curves.

Fig. 4. Electrical conductivity as a function of temperature and density (color-coded) for a partially ionized hydrogen plasma. The direct results from the DFT simulations are shown by the circles and the results from the conductivity model are shown by the curves.

Fig. 5. Thermal conductivity as a function of temperature and density (color-coded) for a partially ionized hydrogen plasma. The direct results from the DFT simulations are shown by the circles, and the results from the conductivity model are shown by the curves.

Fig. 6. Electrical conductivity as a function of temperature for three different densities from our model (triangles) in comparison with the results of Lambert et al.⁸⁵ (circles) and the Lee–More model^23,41 (dashed curves).

Fig. 7. Electron–electron correction factor R_ee for different densities (color-coded) from Eq. (34) in Ref. 36.

Fig. 8. Comparison of the electrical conductivity from our model (color-coded solid curves) with the gas-gun experiment of Weir et al.⁹⁰ and Nellis et al.⁹¹ (triangles) and the virial expansion of Röpke et al.^64,92 for 1 g/cm³ (green dashed curve).

Fig. 9. Comparison of the electrical conductivity from our model (color-coded curves) with results from an AA model (circles).²⁶ Note that the points below 0.01 g/cm³ are not shown in Fig. 42 of Ref. 26, but are included here with the permission of the authors.

Fig. 10. Residual plot for the electrical conductivity vs temperature for different densities (color-coded). The green area represent a deviation of ±12.5% from the DFT results for T < 10⁶ K and the LM results for T > 10⁶ K, which is in the range of typical error estimates for transport coefficients.

Fig. 11. Residual plot for the thermal conductivity vs temperature for different densities (color-coded). The green area represents a deviation of ±12.5% from the DFT results, which is in the range of typical error estimates for transport coefficients.