  We develop a flexible, relativistically covariant parameterization of dense
nuclear matter equation of state suited for inclusion in computationally
demanding hadronic transport simulations. Within an implementation in the
hadronic transport code SMASH, we show that effects due to bulk thermodynamic
behavior are reproduced in dynamic hadronic systems, demonstrating that
hadronic transport can be used to study critical behavior in dense nuclear
matter, both at and away from equilibrium. We also show that two-particle
correlations calculated from hadronic transport simulation data follow
theoretical expectations based on the second order cumulant ratio, and
constitute a clear signature of crossing the phase diagram above the critical
point.
