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Abstract
We present our results on the shear viscosity to entropy ratio (η/s) in the framework of the clustering of the color sources of the matter produced at RHIC and LHC energies. The onset of de-confinement transition is identified by the spanning percolating cluster in 2D percolation. The relativistic kinetic theory relation for η/s is evaluated using the initial temperature (T) and the mean free path (λmfp). The analytic expression for η/s covers a wide temperature range. At T∼150 MeV below the hadron to QGP transition temperature of ∼168 MeV, with increasing temperatures the η/s value drop sharply and reaches a broad minimum η/s∼0.20 at T∼175–185 MeV. Above this temperature η/s grows slowly. The measured values of η/s are 0.204±0.020 and 0.262±0.026 at the initial temperature of 193.6±3 MeV from central Au+Au collisions at \(\sqrt{s_{NN}}=200~\mathrm{GeV}\) (RHIC) and 262.2±13 MeV in central Pb+Pb collisions at \(\sqrt{s_{NN}} = 2.76~\mathrm{TeV}\) (LHC). These η/s values are 2.5 and 3.3 times the AdS/CFT conjectured lower bound 1/4π but are consistent with theoretical η/s estimates for a strongly coupled QGP.
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Details
1 CENTRA, Instituto Superior Tecnico, Lisbon, Portugal
2 Department of Physics, Purdue University, West Lafayette, IN, USA
3 Departamento de Fisica de Particulas, Universidale de Santiago de Compostela and Instituto Galego de Fisica de Atlas Enerxias (IGFAE), Santiago, de Compostela, Spain