Causal dissipative hydrodynamics for QGP fluid in 2+1 dimensions

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In 2nd order causal dissipative theory, space-time evolution of QGP fluid is studied in 2+1 dimensions. Relaxation equations for shear stress tensors are solved simultaneously with the energy-momentum conservation equations. Comparison of evolution of ideal and viscous QGP fluid, initialized under the same conditions, e.g. same equilibration time, energy density and velocity profile, indicate that in a viscous dynamics, energy density or temperature of the fluid evolve slowly, than in an ideal fluid. Cooling gets slower as viscosity increases. Transverse expansion also increases in a viscous dynamics. For the first time we have also studied elliptic flow of 'quarks' in causal viscous dynamics. It is shown that elliptic flow of quarks saturates due to non-equilibrium correction to equilibrium distribution function, and can not be mimicked by an ideal hydrodynamics.
Extensively revised version. In the revised version, we have discussed the effect of viscosity on (quark) transverse momentum distribution and on elliptic flow. It was shown that elliptic flow saturates due to non-equilirium correction to the equilibrium distribution function and can not be mimicked by ideal dynamics. 15 pages, 16 figures

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