title: van der Waals-Tonks-type equations of state for hard-disk and hard-sphere fluids.
abstract: Using the known virial coefficients of hard-disk and hard-sphere fluids, we develop van der Waals-Tonks-type equations of state for hard-disk and hard-sphere fluids. In the low-density fluid regime, these equations of state are in good agreement with the simulation results and the existing equations of state.