Recently, an alternative approach to self-diffusion in atomic liquids was p
roposed by one of us [Vergeles, hi., Szamel, G. Chem. Phys. 1999, 110, 3009
]. This approach is applicable where the concept of binary collisions break
s down and the self-diffusion coefficient is small. Predictions from this m
ethod are in quantitative agreement with molecular dynamics (MD) simulation
s, over a broad range of densities and temperatures, for an atomic liquid i
nteracting with a repulsive r(-12) potential. Here we extend this approach
to include attractive interactions; we study a liquid interacting with the
Lennard-Jones (LJ) potential. Theoretical predictions are compared to MD si
mulations results. To clarify the role of attractive interactions, we compa
re LJ results with those obtained with the repulsive part of the LJ potenti
al. Conclusions about the role of the attractive forces in self-diffusion a
re discussed.