We consider two scenarios for the expansion of a quark-gluon plasma. I
f the evolution is slow enough, the system can remain in equilibrium t
hroughout its entire history up to the freeze-out of a hadron gas; for
a very rapid expansion, it may break up into hadrons before or at the
confinement transition, without ever going through an equilibrium had
ron phase. We compare hadron production rates in the two approaches an
d show that for a hadronisation temperature T congruent-to 200 MeV and
baryonic chemical potential mu(B) less than or similar to 500 MeV, th
eir predictions essentially coincide. Present data on strange particle
production lead to values in this range and hence cannot provide a di
stinction between the two scenarios. Pion, nucleon and non-strange mes
on production seem to require a considerably lower freeze-out temperat
ure and baryonic chemical potential. In the hadron gas picture, this i
s in accord with the difference in mean free path of the different had
rons in the medium; it suggests a sequential freeze-out, in which stra
nge hadrons stop interacting earlier than non-strange hadrons. In the
quark-gluon plasma break-up, the hadronic final state fails to provide
the high entropy per baryon observed in non-strange hadron production
. The break-up moreover leads to a decrease of the entropy per baryon;
hence it must be conceptually modified before it can be considered as
a viable hadronisation mechanism.