Hydrodynamic Modeling of Heavy Ion Collisions Tetsufumi Hirano Tetsufumi Hirano 平平平平 平平平平 Department of Physics Department of Physics The University of Tokyo The University of Tokyo ATHIC2008 ATHIC2008 Tsukuba University, Tsukuba, Japan Tsukuba University, Tsukuba, Japan October 13-15, 2008 October 13-15, 2008 “Hydrodynamics and Flow”, T. Hirano, N. van der Kolk, A. Bilandzic, arXiv:0808.26
ATHIC2008 Tsukuba University, Tsukuba, Japan October 13-15, 2008. Hydrodynamic Modeling of Heavy Ion Collisions. Tetsufumi Hirano 平野哲文 Department of Physics The University of Tokyo. “Hydrodynamics and Flow”, T. Hirano, N. van der Kolk, A. Bilandzic, arXiv:0808.2684. - PowerPoint PPT Presentation
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Hydrodynamic Modeling ofHeavy Ion Collisions
Tetsufumi HiranoTetsufumi Hirano
平野哲文平野哲文Department of PhysicsDepartment of Physics
The University of TokyoThe University of Tokyo
ATHIC2008ATHIC2008Tsukuba University, Tsukuba, JapanTsukuba University, Tsukuba, Japan
October 13-15, 2008October 13-15, 2008
ATHIC2008ATHIC2008Tsukuba University, Tsukuba, JapanTsukuba University, Tsukuba, Japan
October 13-15, 2008October 13-15, 2008
“Hydrodynamics and Flow”,T. Hirano, N. van der Kolk, A. Bilandzic, arXiv:0808.2684
Hybrid approaches:(1D) Bass, Dumitru (2D) Teaney, Lauret, Shuryak (3D) Nonaka, Bass, Hirano et al.
Inputs to Hydro: Multiplicity
1.Glauber model Npart:Ncoll = 85%:15%2. CGC model Matching I.C. via e(x,y,s)
Centrality dependence Rapidity dependence
Kharzeev, Levin, and NardiImplemented in hydro by TH and Nara
pT Spectra for PID hadrons
A hybrid model works well up to pT~1.5GeV/c.Other components (reco/frag) would appear above.
T.Hirano et al., Phys.Rev.C77, 044909 (2008).
Importance of Hadronic “Corona”
•Boltzmann Eq. for hadrons instead of hydrodynamics•Including effective viscosity through finite mean free path
QGP only QGP+hadron fluidsQGP fluid+hadron gas
T.Hirano et al., Phys.Lett.B636, 299 (2006)
Differential v2 & Centrality Dependence
Mass dependence is o.k.Note: First result was obtained by Teaney et al.
20-30%
•Centrality dependence is ok•Large reduction from pure hydro in small multiplicity events
T.Hirano et al., Phys.Lett.B636, 299 (2006);Phys.Rev.C77, 044909 (2008).
Centrality Dependence of Differential v2
Pions, AuAu 200 GeV
PHENIXPHENIX
Hybrid Model at Work at sqrt(sNN)=62.4 GeV
Pions, AuAu 62.4 GeV
PHENIXPHENIX
Differential v2 in Au+Au and Cu+Cu Collisions
Same Npart, different eccentricity
Au+Au Cu+Cu
Same eccentricity, different Npart
Au+Au Cu+Cu
Talk by M. Shimomura
Mass Ordering for v2(pT)
Mass dependence is o.k. from hydro+cascade.
20-30%
Proton
Pion
Mass ordering comes fromhadronic rescattering effect. Interplay btw. radial and elliptic flows.
T.Hirano et al., Phys.Rev.C77, 044909 (2008).
Phi-mesons as a Probe at Hadronization
Distribution of Freeze-Out Time
b=2.0fm
(no decay)
Early kinetic freezeout for multistrange hadrons: van Hecke, Sorge, Xu(’98)Phi can serve a direct information at the hadronization.
Violation of Mass Ordering for -mesons
in pT < 1 GeV/c
Just after hadronization Final results
T = Tsw = 169 MeV
b=7.2fm b=7.2fm
Caveat: Published PHENIX data obtained in pT>~1GeV/c for mesons
Violation of mass ordering for phi mesons!Clear signal of early decoupling!
T.Hirano et al., Phys.Rev.C77, 044909 (2008).
Eccentricity Fluctuation
Interaction points of participants varyevent by event. Apparent reaction plane also varies. The effect is significant for smaller system such as Cu+Cu collisions
Adopted from D.Hofman(PHOBOS),talk at QM2006
A sample eventfrom Monte CarloGlauber model
i
0
Initial Condition with an Effect of Eccentricity Fluctuation