In this study we explore a systematic procedure to coarsen a microscopic mo
del towards a mesoscopic model. The procedure is applied to a system of cha
ins of ten beads, representing a low molecular weight polymer melt. Our met
hod consists of defining coarse-grained sites in the microscopic system, an
d calculating their spatial distribution on the pair level. The effective i
nteraction between the coarse-grained sites is then obtained by bringing th
e pair interaction in consistence with the pair density. We investigate bot
h a dynamic and a stochastic method for this step. The so obtained mesoscop
ic interaction is used in a molecular dynamics simulation to investigate th
e pressure of the coarse-grained system. We found that the pair interaction
that reproduces the pair density predicts a pressure that is significantly
lower than the microscopic value, even if we take the state-dependency of
the coarse-grained interactions into account. We therefore conclude that co
arse-grained models lack thermodynamic consistency. (C) 2001 American Insti
tute of Physics.