In this study, we have relaxed one of the assumptions made in the mode
l proposed by Tankeshwar, Singla and Pathak (1991, J. Phys.: Condens.
Matrel 3, 3173). We have used a Debye spectrum of frequencies instead
of a fixed frequency and have derived an analytical expression for the
velocity auto-correlation function of the fluid. It is found that the
use of the spectrum of frequencies rather than a single frequency doe
s not improve the prediction of the model for the self-diffusion coeff
icient as has been judged by comparing the results with molecular dyna
mics data.