In this article,we try to calculate the equation of state(EOS) of quantum chromodynamics(QCD) at finite chemical potential and zero temperature in the framework of a nonperturbative QCD model.Compared with the cold,perturbative EOS of QCD proposed by Fraga et al.,our EOS approaches more fastly to the free quark gas result at large chemical potential.It is expected that our EOS can provide a possible new tool for the study of neutron star.We also try to provide a direct approach for calculating quark number susceptibility and scalar susceptibility at finite chemical potential and zero temperature.
We introduce a pre-hydrodynamic correction to the commonly used Glauber model to bring the random scattering information to the initial condition of the hydrodynamic description for the heavy ion collisions.The results of this correction obviously shrink the value of the elliptic flow in the medium momentum region and move the corresponding momentum of the maximum v 2 forwards to smaller p T value.These fit the experimental data quite well.This correction implies that the quark-gluon plasma(QGP) has reached the thermal equilibrium when the hydrodynamic expansion starts.Such a conclusion of quick-equilibrium confirms the conclusion that QGP is a strongly interacting system.