  The effects of (in)homogeneity and size on the phase diagram of Lennard-Jones
fluids are investigated. It is shown that standard multifragmentation scenarios
(finite equilibrated systems with conserved center of mass position and
momentum) are implying a strong radial inhomogeneity of the system strongly
affecting the phase diagram. The homogeneity constraint is therefore necessary
for finite systems in order to align to the ``meaning'' of infinite systems
phase diagrams. In this respect, a method which deduces the equation of state
of homogeneous finite systems from the one corresponding to bulk matter is
designed. The resultant phase diagrams show a strong dependence on the system's
size.
