Study of the elliptic flow and their energy dependence over pseudorapidity range at FAIR energies

The major goal of high energy heavy ion collision experiments is to create extremely hot and dense matter with partons as its fundamental components called the Quark Gluon Plasma (QGP). The various observables have been studied, both in experiments, and in model calculations, so as to unravel the properties of the dense hot matter created in the collisions. Of particular interest is the elliptic flow which is considered as one of the most important signatures of the formation of QGP as it is sensitive to the very early stage of the collision. It has its origin in the initial spatial asymmetry of the system, which is then transformed into the momentum anisotropy of the particles. In this work we have studied the transverse momentum dependence of elliptic flow v2 at 25 A GeV by the AMPT model with the default and the string melting versions and then the energy dependence of elliptic flow with the pseudorapidity is studied