Longitudinal fluid dynamics for ultrarelativistic heavy-ion collisions
  We develop a 1+1 dimensional hydrodynamical model for central heavy-ion collisions at ultrarelativistic energies. Deviations from Bjorken's scaling are taken into account by implementing finite-size profiles for the initial energy density. The calculated rapidity distributions of pions, kaons and antiprotons in central Au+Au collisions at the c.m. energy 200 AGeV are compared with experimental data of the BRAHMS Collaboration. The sensitivity of the results to the choice of the equation of state, the parameters of initial state and the freeze-out conditions is investigated. Experimental constraints on the total energy of produced particles are used to reduce the number of model parameters. The best fits of experimental data are obtained for soft equations of state and Gaussian-like initial profiles of the energy density. It is found that initial energy densities required for fitting experimental data decrease with increasing critical temperature of the phase transition. 
L.M. Satarov, I.N. Mishustin, A.V. Merdeev, and H. Stoecker