Polymer-RISM theory is applied to study athermal polymeric lattice flu
ids. The intermolecular segmental distributions and the compressibilit
y equation of state (EoS) have been obtained within the approach for t
hree different intramolecular distribution functions, i.e., the random
flight, the non reversal random walk, and an intramolecular distribut
ion obtained from Monte Carlo simulations. Both the intermolecular seg
mental distributions and the EoS are also compared to Monte Carlo simu
lations. From the comparison to the simulations it is seen that the po
lymer-RISM theory is well able to reproduce the intermolecular segment
al distributions, but it underestimates the density dependence of the
EoS: the EoS is worse than the classical Huggins EoS for the same mode
l, and only for the computer simulated intramolecular distribution we
find reasonable agreement between calculated and simulated EoS. The ab
sence of liquidlike ordering effects in a lattice fluid allow us to sh
ow to what extent the deviations are due to the incomplete incorporati
on of excluded volume in the intramolecular distribution functions.