Knudsen number, ideal hydrodynamic limit for elliptic flow and QGP viscosity in s\sqrt{s}=62 and 200 GeV Cu+Cu/Au+Au collisions

preprint2010arXivOpen access

Abstract

Taking into account of entropy generation during evolution of a viscous fluid, we have estimated inverse Knudsen number, ideal hydrodynamic limit for elliptic flow and QGP viscosity to entropy ratio in s\sqrt{s}=62 and 200 GeV Cu+Cu/Au+Au collisions. Viscosity to entropy ratio is estimated as η/s=0.17±0.10±0.20η/s=0.17\pm 0.10\pm 0.20, the first error is statistical, the second one is systematic. In a central Au+Au collision, inverse Knudsen number is ≈2.80±1.63\approx 2.80\pm 1.63, which presumably small for complete equilibration. In peripheral collisions it is even less. Ideal hydrodynamic limit for elliptic flow is ∼\sim40% more than the experimental flow in a central collision.

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