  We have studied the time evolution of the fluctuations in the net baryon
number for different initial conditions and space time evolution scenarios. We
observe that the fluctuations at the freeze-out depend crucially on the
equation of state (EOS) of the system and for realistic EOS the initial
fluctuation is substantially dissipated at the freeze-out stage. At SPS
energies the fluctuations in net baryon number at the freeze-out stage for
quark gluon plasma and hadronic initial state is close to the Poissonian noise
for ideal as well as for EOS obtained by including heavier hadronic degrees of
freedom. For EOS obtained from the parametrization of lattice QCD results the
fluctuation is larger than Poissonian noise. It is also observed that at RHIC
energies the fluctuations at the freeze-out point deviates from the Poissonian
noise for ideal as well as realistic equation of state, indicating presence of
dynamical fluctuations.
