We derive a partition function for the Lund fragmentation model and compare
it with that of a classical gas. For a fixed rapidity "volume" this partit
ion function corresponds to a multiplicity distribution which is very close
to a binomial distribution. We compare our results with the multiplicity d
istributions obtained from the JETSET Monte Carlo for several scenarios. Fi
rstly, for the fragmentation vertices of the Lund string. Secondly, for the
final state particles both with and a without decays.