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We study the evolution of critical fluctuations in an expanding system withina hadronic transport approach. The initialization of the system with criticalfluctuations is achieved by coupling the ideal hadron resonance gas cumulantsto the ones from the 3d Ising model and generating the net and total particlenumber distribution from the principle of maximum entropy. These distributionsare then evolved using realistic hadronic interactions. We systematicallyinvestigate the evolution of the critical fluctuations initialized at varioustemperatures and chemical potentials along a freeze-out line. We find thatresonance regeneration and isospin randomization processes have the strongestinfluence on the evolution of the fluctuations. Additionally, the sets ofparticles coupled to the critical mode are modified to assess the strength ofthe propagation of correlations through interactions. We find that in thescaling region of the critical point correlations are propagated through thewhole collisional history and are still present after the kinetic freeze-out ofthe matter if the coupling strength is large enough.

Fate of critical fluctuations in an interacting hadronic medium using maximum entropy distributions