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Two first-principles simulation techniques, path integral Monte Carlo (PIMC)and density functional molecular dynamics (DFT-MD), are applied to study hot,dense helium in the density-temperature range of 0.387 - 5.35 g/cc and 500 K -1.28x10^8 K. One coherent equation of state (EOS) is derived by combiningDFT-MD data at lower temperatures with PIMC results at higher temperatures.Good agreement between both techniques is found in an intermediate temperaturerange. For the highest temperatures, the PIMC results converge to theDebye-Hueckel limiting law. In order derive the entropy, a thermodynamicallyconsistent free energy fit is introduced that reproduces the internal energiesand pressure derived from the first-principles simulations. The equation ofstate is presented in form of a table as well as a fit and is compared withchemical models. In addition, the structure of the fluid is analyzed using paircorrelation functions. Shock Hugoniot curves are compared with recent lasershock wave experiments.

Path Integral Monte Carlo and Density Functional Molecular Dynamics Simulations of Hot, Dense Helium