  The existence of hydrodynamic attractors in rapidly expanding relativistic
systems has shed light on the success of relativistic hydrodynamics in
describing heavy-ion collisions at zero chemical potential. As the search for
the QCD critical point continues, it is important to investigate how out of
equilibrium effects influence the trajectories on the QCD phase diagram. In
this proceedings, we study a Bjorken expanding hydrodynamic system based on
DMNR equations of motion with initial out of equilibrium effects and finite
chemical potential in a system with a critical point. We find that the initial
conditions are not unique for a specific freeze-out point, but rather the
system can evolve to the same final state freeze-out point with a wide range of
initial baryon chemical potential, $\mu_B$. For the same initial energy density
and baryon density, depending on how far out of equilibrium the system begins,
the initial $\mu_B$ can vary by $\Delta \mu_B\sim 350$ MeV. Our results
indicate that knowledge of the out-of-equilibrium effects in the initial state
provide vital information that influences the search for the QCD critical
point.
