Abstract
The short-time behavior of the coherent intermediate scattering function for a fluid of hard-sphere particles is calculated exactly through ordert 4, and the other hydrodynamic correlation functions are calculated exactly through ordert 2. It is shown that for all of the correlation functions considered the Enskog theory gives a fair approximation. Also, the initial time behavior of various Green-Kubo integrands is studied. For the shear-viscosity integrand it is found that at densitynσ3=0.837 the prediction of the Enskog theory is 32% too low. The initial value of the bulk viscosity integrand is nonzero, in contrast to the Enskog result. The initial value of the thermal conductivity integrand at high densities is predicted well by Enskog theory.
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Leegwater, J.A., van Beijeren, H. Hydrodynamic correlation functions of hard-sphere fluids at short times. J Stat Phys 57, 595–629 (1989). https://doi.org/10.1007/BF01022824
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DOI: https://doi.org/10.1007/BF01022824