Abstract
The collective flow of hot and dense matter (partonic plasma and hadronic gas) created in an ultra relativistic heavy ion collision can be usually described by hydrodynamics if only the thermalization is achieved and if it can be locally maintained during the subsequent expansion. It requires knowledge of the equation of state, which gives a relation between pressure P, energy density epsilon, entropy density s and sound velocity c(s), but no detailed knowledge of the microscopic dynamics. After the study of these hydrodynamical collective observables in a previous work, we investigate in the present work some correlations between them outshining some relevant features of the equation of state and the hydrodynamical expansion of the system undergoing a deconfinement phase transition from hadronic gas to colorless quark gluon plasma. We also investigate the finite volume effect on the collective dynamical evolution of the system.