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

In this paper the authors numerically solve the (3 + 1)-dimensional hydrodynamical equation of perfect fluid with phase transition to analyze cylindrically symmetric space-time expansion of QGP fluid possibly produced in high energy nuclear collisions. The QCD-like behavior of the phase transition in temperature dependences of thermodynamical quantities is brought in 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 are discussed in detail. By making use of the numerical solution, the authors give the PT- and Y-distributions of produced hadrons. Finally, we also derive the two-particle correlation from the solution, by which the HBT effect is discussed