  The ion-ion dynamical structure factor and the equation of state of warm
dense aluminum in a two-temperature quasi-equilibrium state, with the electron
temperature higher than the ion temperature, are investigated using
molecular-dynamics simulations based on ion-ion pair potentials constructed
from a neutral pseudoatom model. Such pair potentials based on density
functional theory are parameter-free and depend directly on the electron
temperature and indirectly on the ion temperature, enabling efficient
computation of two-temperature properties. Comparison with ab initio
simulations and with other average-atom calculations for equilibrium aluminum
shows good agreement, justifying a study of quasi-equilibrium situations.
Analyzing the van Hove function, we find that ion-ion correlations vanish in a
time significantly smaller than the electron-ion relaxation time so that
dynamical properties have a physical meaning for the quasi-equilibrium state. A
significant increase in the speed of sound is predicted from the modification
of the dispersion relation of the ion acoustic mode as the electron temperature
is increased. The two-temperature equation of state including the free energy,
internal energy and pressure is also presented.
