Computer "experiments" on classical fluids: Triplet correlations and moments of current correlation functions

We present here results for the fourth frequency moments of current-correlation functions obtained by simulating a Lennard-Jones system of 256 particles near its triple point. A comparison with the results of Bansal and Pathak based on superposition approximation (SA) for the triplet correlation function $g_3(\overrightarrow{\mathrm{r}}, {\overrightarrow{\mathrm{r}}}^{\prime })$ leads us to a conclusion that the errors involved in the calculation of moments due to use of SA are not of much significance, in contrast to what is generally expected.