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Huichao Song

Viscous Hydro +URQMD. Huichao Song. The Ohio State University. Lawrence Berkeley National Lab. Quantifying the Properties of Hot QCD Matter. May24- July 16, INT Seattle, WA. In collaboration with S.Bass , U.Heinz , C.Shen , P.Huovinen & T.Hirano (?). Supported by DOE. 06/14/2004.

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Huichao Song

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  1. Viscous Hydro +URQMD Huichao Song The Ohio State University Lawrence Berkeley National Lab Quantifying the Properties of Hot QCD Matter May24- July 16, INT Seattle, WA In collaboration with S.Bass, U.Heinz, C.Shen, P.Huovinen & T.Hirano (?) Supported by DOE 06/14/2004

  2. Viscous hydrodynamics hydro S.Bass Conservation laws: - Israel-Stewart eqns.

  3. Viscous hydrodynamics hydro S.Bass Conservation laws: - Israel-Stewart eqns. viscous hydro: near-equilibrium system pre-equilibrium dynamics + viscous hydro+ hadron cascade viscous hydro+ final conditions Initial conditions

  4. Ideal/ViscousHydro + URQMD 2+1 Ideal/Viscous Hydro Hadron Cascade MC- Particle Generator S.Bass Tsw Convertor: MC particle generator VIS -MC

  5. extracting QGP viscosity from data Glauber Luzum & Romatschke, PRC 2008 CGC NOT so fast ! -Effects from highly viscous & non-chemical equilibrium hadronic stage, bulk viscosity …

  6. Effects of viscosity & chemical composition of HRG Ideal hydro vs ideal hydro +hadron cascade PCE vs.CE (HRG) Ideal hydro ~30% ~30% P. Huovinen 07 - Does hadronic viscosity and partially equilibrium chemistry balance each other in elliptic flow? Is it safe to neglect both of them, when extracting QGP viscosity?

  7. Ideal / viscous hydro+URQMD SM-EOS Q (CE) vs. EOSL-PCE

  8. ideal hydro vs. ideal hydro+URQMD (EOSL-PCE) EOS L-PCE - EOS L-PCE : Hadronic viscosity (URQMD) leads to ~20% viscous v2 suppression

  9. ideal hydro +URQMD: SM-EOSQ(CE) vs. EOSL-PCE EOS L-PCE SM-EOS Q(CE) - EOS L-PCE: Hadronic viscosity (URQMD) leads to ~20% viscous v2 suppression - SM-EOS Q(CE): effects from hadronic viscosity and PCE (in URQMD) cancel each other in elliptic flow v2 (Ideal hydro+URQMD)

  10. SM-EOSQ(CE): viscous vs. ideal hydro +URQMD SM-EOS Q(CE) SM-EOS Q(CE) - SM-EOS Q(CE): effects from hadronic viscosity and PCE (URQMD) cancel each other in elliptic flow v2 (ideal hydro+URQMD) -This is no longer true in viscous hydro+URQMD -much larger v2 suppression for PT>1GeV: effects from shear viscous correction / EOS

  11. EOSL-PCE: ideal vs. viscous hydro + URQMD EOS L-PCE EOS L-PCE -EOS L-PCE: additional v2 suppression by URQMD (ideal/viscous hydro + URQMD behave similarly) -Larger URQMD viscous v2 suppression in ideal hydro +URQMD

  12. Spectra: SM-EOS Q(CE) vs. EOSL-PCE SM-EOS Q(CE) EOS L-PCE SM-EOS Q(CE) EOS L-PCE -EOS L-PCE (correct chemistry below Tch) is preferable

  13. viscous v2 suppression EOS L-PCE -EOS L-PCE: v2 suppression increases from ~20% (min visc hydro) to ~30% (min visc hydro + URQMD)

  14. viscous v2 suppression EOS L-PCE -EOS L-PCE: v2 suppression increases from ~20% (min visc hydro) to ~30% (min visc hydro + URQMD) ---> significantly reduces the extracted QGP viscosity

  15. ideal/viscous hydro +URQMD: mass splitting EOS L-PCE EOS L-PCE -Radial flow increases the mass splitting between pion and proton; similar behavior in ideal/ viscous hydro +URQMD

  16. More Systematic study

  17. Inte v2: hydro decouple at Tsw vs. hydro+URQMD -v2 is not fully developed at Tsw; -positive ecc. at Tsw additionally increase of v2 in URQMD

  18. Inte v2: ideal hydro, vis hydro, vis hydro+URQMD -Additional v2 suppression in URQMD (hadronic stage is highly viscous)

  19. viscous v2 suppression: hydro vs. hydro+URQMD -viscous hydro + URQMD: smaller URQMD viscous v2 suppression, comparing with ideal hydro + URQMD -larger URQMD viscous v2 suppression for smaller systems

  20. ideal vs viscous hydro & ideal vs viscous hydro +URQMD -Viscous v2 suppressions are significantly reduced after a proper treatment of hadronic matter (URQMD)

  21. : ideal Hydro + URQMD -Hadronic viscosity from URQMD increase the slope of

  22. : ideal /Viscous Hydro + URQMD (I) -hadronic viscosity from URQMD increases the slope of

  23. : ideal /Viscous Hydro + URQMD (II) -hadronic viscosity from URQMD increase the slope of - v2 is not fully saturated at Tsw the increase of the slope

  24. : experimental data Thanks for A. Tang for Exp data Glauber CGC -Experimental data: v2 , dN/dy ; theoretical estimations: ecc. S (Glauber/CGC) -larger slope and magnitude for v2/ecc. for glauber initial profile

  25. A hint for min vis. liquid with CGC initialization Thanks for A. Tang for Exp data Glauber CGC -Theoretical curves are all from Glauber initialization (add cures in the future ) - v2/ecc from hydro +URQMD is not sensitive to Glauber /CGC or optical/ fluctuation initializations (need some further calculations) • Overlap area are different for CGC and Glauber initializations

  26. viscous hydro+URQMD vs. viscous hydro with -- a try to extract the hadronic viscosity EOSL-PCE is an essential input for the calculations here

  27. inte v2 from hydro +URQMD with diff. Tsw -with a “perfect” and “correct” chemical components (PCE) for hadrons phase, final results from hydro +URQMD should not be sensitive to Tsw - is not enough for hadronic viscosity

  28. inte v2 from hydro +URQMD with diff. Tsw - is not enough for hadronic viscosity - over suppresses v2 for T=165-150 MeV, but not enough for T<130 MeV

  29. inte v2 from hydro +URQMD with diff. Tsw - is not enough for hadronic viscosity - over suppresses v2 for T=165-150 MeV, but not enough for T<130 MeV

  30. extract from URQMD (a first try) a hint? - is not enough for hadronic viscosity - over suppresses v2 for T=165-150 MeV, but not enough for T<130 MeV

  31. inte v2 from hydro +URQMD with diff. &Tsw

  32. inte v2 from hydro +URQMD with diff. &Tsw

  33. extract from URQMD (a first try) -please do NOT take the above number too seriously -need further detailed extraction - such extraction gives a special trajectory of URQMD dynamic

  34. A Short Summary -when extracting the QGP viscosity, one need to consider the effects of hadronic viscosity and the hadronic chemical components -with viscous hydro+URQMD become available, these two above uncertainties are naturally eliminated -with a EOS correctly describe PCE HG, it is “somewhat” safe to swtich hydro to URQMD at lower temperature ---> extract the effective URQMD viscosity at some specific dynamical trajectory by comparing hydro with and hydro+URQMD

  35. Thank You

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