Specific heat of simple liquids

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Abstract
Residual specific heats c v/* are calculated from a Weeks-Chandler-Andersen-type perturbation theory for Lennard-Jones (LJ) and two-centre-Lennard-Jones (2CLJ) liquids. For spherical molecules the theory predicts that as the density is increased up to slightly above three times the critical density (ρc), c v/* increases to 2R. Corresponding states considerations indicate that rotational degrees of freedom in 2CLJ fluids make no contributions to c v/*. Comparing with real liquids, the theoretical predictions of c v/* agree, within the accuracy of the experiments, with experimental data for liquid argon, methane, and oxygen, at densities ρ/ρc > 2·5. For ethane, the theoretical predictions of c v/*, assuming a 2CLJ fluid with elongation L = 0·67, are too low. This deficiency in the theory for long molecules is attributed to the neglect of the angle-dependence of the background correlation function. However, computer simulation results for c v/* in 2CLJ fluids of elongation L = 0·67 agree with the perturbation theory predictions for the spherical LJ liquid at corresponding states. Again, for ρ/ρc > 2·5, both these latter results agree with the experimental values for ethane, within or nearly within the experimental accuracy.