  We introduce a model for the real-time evolution of a relativistic fluid of
quarks coupled to non-equilibrium dynamics of the long wavelength (classical)
modes of the chiral condensate. We solve the equations of motion numerically in
3+1 space-time dimensions. Starting the evolution at high temperature in the
symmetric phase, we study dynamical trajectories that either cross the line of
first-order phase transitions or evolve through its critical endpoint. For
those cases, we predict the behavior of the azimuthal momentum asymmetry for
high-energy heavy-ion collisions at nonzero impact parameter.
