The relaxation times of particle numbers in hot hadronic matter with v
anishing baryon number are estimated using the ideal gas approximation
and taking into account resonance decays and annihilation processes a
s the only sources of particle number fluctuations. Near the QCD criti
cal temperature the longest relaxation times turn out to be of the ord
er of 10 fm and grow roughly exponentially to become of the order of 1
0(3) fm at temperatures around 1 00 MeV. As a consequence of such long
relaxation times, a clear departure from chemical equilibrium must be
observed in the momentum distribution of secondary particles produced
in high energy nuclear collisions.