Theoretical research on shock compression properties of liquid helium at high temperature and density

Considering the quantum-mechanical effect at lower temperatures, the modified Weeks-Chandler-Andersen theory and improved variational perturbation principle were used to develop the single and double shock dynamic equations of state of liquid helium at the pressures ranging from 0 to 108 GPa and the temperatures ranging from 471 to 32 790 K. The appropriate exp-6 potential parameters were obtained by fitting the experimental data based on determined interactions of molecules in liquid helium. The calculated results are in good agreement with the experimental data.