  We study the evolution of critical fluctuations in an expanding system within
a hadronic transport approach. The initialization of the system with critical
fluctuations is achieved by coupling the ideal hadron resonance gas cumulants
to the ones from the 3d Ising model and generating the net and total particle
number distribution from the principle of maximum entropy. These distributions
are then evolved using realistic hadronic interactions. We systematically
investigate the evolution of the critical fluctuations initialized at various
temperatures and chemical potentials along a freeze-out line. We find that
resonance regeneration and isospin randomization processes have the strongest
influence on the evolution of the fluctuations. Additionally, the sets of
particles coupled to the critical mode are modified to assess the strength of
the propagation of correlations through interactions. We find that in the
scaling region of the critical point correlations are propagated through the
whole collisional history and are still present after the kinetic freeze-out of
the matter if the coupling strength is large enough.
