Hydrodynamic Evolution Of The Sources With Fluctuating Initial Conditions And Its π Flow And Interferometry Analyses

In this thesis, we study the hydrodynamic evolution of the particle-emitting sources with event-by-event fluctuating initial conditions (FIC) produced in the high energy heavy ion collision at RHIC (Relativistic Heavy Ion Collider) and LHC (Large Hadron Collider), which are generated through HIJING (Heavy Ion Jet INteraction Generator) model. The distribution of the nuclear matter are inhomogeneous even at the later stage of the evolutions because of the granular inhomogeneous shape of the initial sources. This kind of hydrody-namic sources with FIC and its distribution of the space-time coordinate and velocity for the freeze-out particles are much more different from the results which are used the smoothed initial conditions (SIC). The distribution range of the freeze-out points are larger than those with SIC, and the coordinate distribution of the points are no longer limited to the surface of the systems but could distributed at the inside of the systems.We calculate the results of the transverse spectrums, the elliptic flows, the triangular flows and the HBT (Hanbury-Brown-Twiss) correlation functions of pions for the sources with FIC and SIC, for√SNN=200GeV Au+Au collisions at RHIC and√SNN=2.76TeV Pb+Pb collisions at LHC through hydrodynamics based on event-by-event calculations. The results have shown that the transverse spectrums for pions turned up obviously at high transverse momentum and the elliptic flows are decreased observably. At the same time, there are large values for the triangular flow especially for the peripheral collisions. These results are all conform to the experimental data. From the results of the the interferometry analyses for the HBT correlation functions, we find that there are more freeze-out points in the sources with FIC and shorter lifetime than those with SIC, and finally lead to Rside/-Rout-1-The single-event correlation functions for FIC sources are fluctuating event-by-event, one can see that these fluctuations of the correlation functions reflect the source fluctuations of the density distributions through the analyses based on the fast Fourier transform method.We study the distribution of the fluctuations of the2π correlation functions for FIC sources based on single-and few-events analyses, and introduce a granularity length, Lξ, to describe the initial granular inhomogeneity of the sources. We also study the relationship between the distribution of the fluctuations of elliptic flow and triangular flow for different sub-events collections and the Lξ carefully. The results indicate that the distribution of the fluctuations of the2π correlation functions for inhomogeneous evolution sources are much wider than those sources with SIC, but it’s insensitive with Lξ. By contrast, the results for elliptic flow and triangular flow are more sensitive with Lξ, the width of distribution of the fluctuations for triangular flow are increased with Lξ obviously. So, the initial granular inhomogeneity of the sources are the key factor to cause the fluctuations of the triangular flow and one can detect the initial granular inhomogeneity of the sources by measure the root-mean-square of the distribution of the fluctuations of the triangular flow for different sub-events collections. The fitting analyses for the inhomogeneous evolution imaging source functions by using a parametrized formula of a granular source functions have shown that the results of the ξ which reflect the source granularity at the freeze-out time conformed to Lξ.