Radiation drive temperature measurements in aluminum via radiation-driven shock waves: Modeling using self-similar solutions

We study the phenomena of radiative-driven shock waves using a semi-analytic model based on self similar solutions radiative hydrodynamic problem. The relation between hohlraum drive temperature $T_{\mathrm{Rad}}$ and resulting ablative $D_S$ is well-known method for estimation temperature. However, various studies yield different scaling relations $D_S$, simulations. In [T. Shussman S.I. Heizler, Phys. Plas., 22, 082109 (2015)] we have derived full analytic subsonic heat wave, that include both ablation wave regions. Using this self-similar approach derive here $T_{\mathrm{Rad}}(D_S)$ aluminium, detailed Hugoniot including transport effects. By our model, find spread $\approx 40$eV in curve, as function profile's duration its temporal profile. Our agrees with experiments simulations data, explaining difference appear literature.