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Radiative transport: comparisons between BAMPS and viscous hydro

Radiative transport: comparisons between BAMPS and viscous hydro. Zhe Xu with I.Bouras, A.El , O.Fochler, F.Lauciello, E.Molnar, H.Niemi , C.Greiner, D.H..Rischke. CATHIE-TECHQM, BNL, Dec 14, 2009. Motivation. viscous effect described by viscous hydro, talk by H.Song

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Radiative transport: comparisons between BAMPS and viscous hydro

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  1. Radiative transport: comparisons between BAMPS and viscous hydro Zhe Xu with I.Bouras, A.El, O.Fochler, F.Lauciello, E.Molnar, H.Niemi, C.Greiner, D.H..Rischke CATHIE-TECHQM, BNL, Dec 14, 2009

  2. Motivation • viscous effect described by viscous hydro, talk by H.Song • Mach cone shock waves ? Comparisons between parton cascade and viscous hydro -> a common understanding of phenomena Zhe Xu

  3. Outline • Transport model BAMPS • Comparisons between BAMPS and viscous hydro • longitudinal Bjorken expansion, talk by A.El • shock waves in Riemann problem, talk by H.Niemi • Mach cone formation • Conclusion Zhe Xu

  4. Transport Model BAMPS: BoltzmannApproachofMultiPartonScatterings A transport algorithm solving the Boltzmann-Equations for on-shell partons with pQCD interactions new development ggg gg (Z)MPC, VNI/BMS, AMPT, PACIAE Inelastic scatterings are effective in thermalization ! Zhe Xu

  5. Stochastic algorithm ZX and C. Greiner,PRC 71, 064901 (2005) y Space is divided into small cells ! x D3x collision probability -- stochastic Zhe Xu

  6. screened pQCD based partonic interactions J.F.Gunion, G.F.Bertsch, PRD 25, 746(1982) LPMsuppression: treatment for incoherent interactions: the formation time Lg: mean free path Zhe Xu

  7. 1. longitudinal expansion with boost invariance initial condition: local thermal equilibrium interactions: pQCD based 2 -> 2 and 2 <-> 3 of gluons with constant as Zhe Xu

  8. 1. longitudinal expansion with boost invariance extraction of the shear viscosity (Grad´s method) A. El, A. Muronga, ZX and C. Greiner, PRC 79, 044914 (2009) Zhe Xu

  9. 1. longitudinal expansion with boost invariance numbers are used in hydro calculations Zhe Xu

  10. 1. longitudinal expansion with boost invariance Israel-Stewart hydrodynamics particle number conservation P. Huovinen and D. Molnar, PRC 79, 014906 (2009) Zhe Xu

  11. by A. El comparisons of momentum anisotropy talk by Andrej El Zhe Xu

  12. P0 > P4 2.Shock waves in 1-dim. Riemann problem initial condition: thermal equilibrium with pressure discontinuity interactions: 2 -> 2 with isotropic distribution of the collision angle Zhe Xu

  13. 2.Shock waves in 1-dim. Riemann problem by I. Bouras Zhe Xu

  14. 2.Shock waves in 1-dim. Riemann problem comparisons with viscous hydro calculations Bouras et al. PRL 103, 032301 (2009) Viscous hydro fails to describe the viscous effect in the shock front. talk by H. Niemi Zhe Xu

  15. 3.Mach Cone Formation jet medium interactions: 2 -> 2 with isotropic distribution of the collision angle Zhe Xu

  16. 3.Mach Cone Formation local energy density by I. Bouras, F. Lauciello et al. Zhe Xu

  17. 3.Mach Cone Formation local energy density by I. Bouras, F. Lauciello et al. Zhe Xu

  18. 3.Mach Cone Formation local energy density by I. Bouras, F. Lauciello et al. Zhe Xu

  19. 3.Mach Cone Formation local energy density by I. Bouras, F. Lauciello et al. Zhe Xu

  20. 3.Mach Cone Formation local energy density by I. Bouras, F. Lauciello et al. Zhe Xu

  21. 3.Mach Cone Formation Zhe Xu

  22. 3.Mach Cone Formation jet medium Zhe Xu

  23. 3.Mach Cone Formation Zhe Xu

  24. 3.Mach Cone Formation viscous effect: enlarge the mach angle Comparisons with viscous hydro calculations will follow. Zhe Xu

  25. Conclusions • longitudinal expansion with boost invariance: chemical equilibration important, 2<->3 needed • shock waves in Riemann problem: BAMPS is a standard to check viscous hydro caculations. • Mach cone formation and flow v2, v4,...: comparisons in progress Zhe Xu

  26. Elliptic Flow and Shear Viscosity at RHIC viscous hydro. Romatschke, PRL 99, 2007 2-3Parton cascade BAMPS ZX, Greiner, Stöcker, PRL 101, 2008 h/s at the collision center h/s > 0.08 Zhe Xu

  27. 3.Mach Cone Formation variation of h/s Zhe Xu

  28. 3.Mach Cone Formation Zhe Xu

  29. 3.Mach Cone Formation Zhe Xu

  30. 3.Mach Cone Formation longitudinal flow velocity Zhe Xu

  31. 3.Mach Cone Formation transverse flow velocity Zhe Xu

  32. viscous effect Zhe Xu

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