of thermal homogeneous nucleation theory.

Consequences for the Multiplicity Distribution
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The results of the last section confirm the possibility of producing quark–gluon plasma droplets in rare events at AGS. Once formed the droplets grow rapidly due to the significant superheating of the hadronic matter. This process was explored in [@us] where it was found that the radii of such droplets can reach $3-5$ fm. Since the phase transition is occurring so far out of equilibrium we would expect a significant increase in the entropy of the final state. This could be seen in the ratio of pions to baryons, for example, or in the ratio of deuterons to protons [@me]. Along with the increased entropy should come a slowing down of the radial expansion due to a softening in the matter, that is, a reduction in pressure for the same energy density. Together, these would imply a larger source size and a longer lifetime as seen by hadron interferometry [@scott].

In this section we study one of the experimental ramifications in detail. Specifically, we look at the charged particle multiplicity distributions and investigate under what conditions one might be able to detect the rare events from the structure of 