We simulated the equilibrium properties of some reference model fluids, wit
h hard-core, Yukawa and Lennard-Jones interactions, and compared their loca
l density profiles in thermodynamic states where the residual multiparticle
entropy (RMPE), an established and rather sensitive indicator of the incip
ient ordering of the fluid into a more structured phase, happens to vanish.
We found that, once interparticle distances have been referred to the aver
age separation between nearest-neighbor particles, the radial distribution
functions (RDF) coalesce-from the second coordination shell onwards-onto ne
arly the same spatial profile. This property was ascertained for different
model systems in different thermodynamic conditions but for the shared zero
-RMPE constraint. The emergence of a scaling relation for the RDF's in the
fluid phase further enlightens the nature of the structural condition that
is singled out by the vanishing of the RMPE. (C) 2001 American Institute of
Physics.