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We compare 2->2 covariant transport theory and causal Israel-Stewarthydrodynamics in 2+1D longitudinally boost invariant geometry with RHIC-likeinitial conditions and a conformal e = 3p equation of state. The pressureevolution in the center of the collision zone and the final differentialelliptic flow v2(pT) from the two theories agree remarkably well for a smallshear viscosity to entropy density ratio eta/s ~ 1/(4 pi), and also for a largecross section sigma ~ 50 mb. A key to this agreement is keeping ALL terms inthe Israel-Stewart equations of motion. Our results indicate promisingprospects for the applicability of Israel-Stewart dissipative hydrodynamics atRHIC, provided the shear viscosity of hot and dense quark-gluon matter isindeed very small for the relevant temperatures T ~ 200-500 MeV.

Dissipative effects from transport and viscous hydrodynamics