  The condensate number distribution during the transition of a dilute, weakly
interacting gas of N=200 bosonic atoms into a Bose-Einstein condensate is
modeled within number conserving master equation theory of Bose-Einstein
condensation. Initial strong quantum fluctuations occuring during the
exponential cycle of condensate growth reduce in a subsequent saturation stage,
before the Bose gas finally relaxes towards the Gibbs-Boltzmann equilibrium.
