Abstract
We present equation of state data of shock compressed hydrogen and deuterium. These have been calculated in the physical picture by using {\it ab initio} molecular dynamics simulations based on finite temperature density functional theory as well as in the chemical picture via the Saha-D model. The results are compared in detail with data of shock wave experiments obtained for condensed and gaseous precompressed hydrogen and deuterium targets in a wide range of shock compressions from low pressures up to megabars.
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