Hydrodynamical evolution of QGP-fluid with phase transition and particle distribution in high energy nuclear collisions

We numerically solve the (3+1)-dimensional hydrodynamical equation for a perfect fluid with phase transition to analyze cylindrically symmetric space-time expansion of a quark-gluon plasma fluid possibly produced in high energy nuclear collisions. The temperature dependences of thermodynamical quantities are so designed as to give the QCD-like phase transition through a semi phenomenological transport theory based on a quantum Langevin equation. The effects of the phase transition and the transverse expansion on the temperature distribution of the fluid are discussed in detail, by making use of the numerical solution. Finally we derive the transverse momentum distribution and rapidity distribution of produced pions. (author)