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The transverse momentum dependence of elliptic flow of pions calculated in afull (3+1)d Boltzmann approach with an intermediate hydrodynamic stage forheavy ion reactions for CERN-SPS energies is discussed in the context of theexperimental data. At higher SPS energies, where the pure transport calculationcannot account for the high elliptic flow values, the smaller mean free path inthe hydrodynamic evolution leads to larger elliptic flow. Due to the morerealistic initial conditions and the incorporated hadronic rescattering theresults are in line with the experimental data. Within this integrateddynamical approach different equations of state are applied without adjustingthe initial state and the freeze-out conditions. We employ a hadron gasequation of state to investigate the differences in the dynamics and viscosityeffects, a chiral equation of state with a moderate first order phasetransition and a critical endpoint and a bag model equation of state with alarge latent heat. The elliptic flow results are shown to be rather insensitiveto changes in the equation of state.

A transport calculation with an embedded (3+1)d hydrodynamic evolution: Elliptic flow as a function of transverse momentum at SPS energies