Dynamical behavior of hot dense matter as encountered in inertial confined fusion plasma evolution is usually modelled by using equations of hydrodynamics along with inevitable proper knowledge of equation of state (EOS) as this close such set of equations. In such plasmas, the produced shock waves are so energetic that radiation starts to play an important role in the dynamics of the system. Now the response of material to the shock, as shown in its shock-hugoniot curves, depends on the electron-radiation coupled system under local thermodynamic equilibrium (LTE) conditions. The solution this coupled system is a non-trivial case and demands a high computation cost. We present an improved screened hydrogenic model with l-splitting , which is an average atom model, to account for electron ionization for EOS calculations. The radiation effects are modeled by Stefan Boltzmann law for LTE conditions for the calculations of shock hugoniot curves for different material in this radiation environment. Numerical results show an excellent agreement in comparison with published results obtained either by using sophisticated self-consistent models  or by using first principal simulations . The results show an increased compression along shock-hugoniot curves due to equilibration of radiation and matter and the limiting compression ratio in all cases is also increased (from 4 to 7) as compared to that of an ideal mono-atomic gas.
|Country or International Organization||Pakistan|
|Affiliation||Pakistan Isntitue of Engineering and Applied Sciences|