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In this work we calculate the thermodynamic properties of hydrogen-heliumplasmas with different mass fractions of helium by the direct path integralMonte Carlo method. To avoid unphysical approximations we use the path integralrepresentation of the density matrix. We pay special attention to the region ofweak coupling and degeneracy and compare the results of simulation with a modelbased on the chemical picture. Further with the help of calculated deuteriumisochors we compute the shock Hugoniot of deuterium. We analyze our results incomparison with recent experimental and calculated data on the deuteriumHugoniot.Comment: 7 pages, 5 Postscript figures, accepted for publication in J. Phys.  A: Math. Ge

Path integral Monte Carlo calculations of helium and hydrogen–helium plasma thermodynamics and of the deuterium shock Hugoniot