  We present preliminary results of our numerical study of the critical
dynamics of percolation observables for the two-dimensional Ising model. We
consider the (Monte-Carlo) short-time evolution of the system obtained with a
local heat-bath method and with the global Swendsen-Wang algorithm. In both
cases, we find qualitatively different dynamic behaviors for the magnetization
and Omega, the order parameter of the percolation transition. This may have
implications for the recent attempts to describe the dynamics of the QCD phase
transition using cluster observables.
