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Transport properties of dense liquid helium under the conditions of planet'score and cool atmosphere of white dwarfs have been investigated by using theimproved centroid path-integral simulations combined with density functionaltheory. The self-diffusion is largely higher and the shear viscosity is notablylower predicted with the quantum mechanical description of the nuclear motioncompared with the description by Newton equation. The results show that nuclearquantum effects (NQEs), which depends on the temperature and density of thematter via the thermal de Broglie wavelength and the ionization of electrons,are essential for the transport properties of dense liquid helium at certainastrophysical conditions. The Stokes-Einstein relation between diffusion andviscosity in strongly coupled regime is also examined to display the influencesof NQEs.

Quantum path integral molecular dynamics simulations on transport properties of dense liquid helium