Akihiko Monnai Department of Physics, The University of Tokyo Collaborator: Tetsufumi Hirano Viscous Hydrodynamic Deformation in Rapidity Distributions of the Color Glass Condensate Workshop for Particle Correlations and Femtoscopy 2011 September 24 th 2011, The University of Tokyo, Japan AM and T. Hirano, Phys. Lett. B 703, 583 (2011)
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V iscous Hydrodynamic Deformation in Rapidity Distributions of the Color Glass Condensate
AM and T. Hirano, Phys. Lett. B 703, 583 (2011). V iscous Hydrodynamic Deformation in Rapidity Distributions of the Color Glass Condensate. Akihiko Monnai Department of Physics, The University of Tokyo Collaborator: Tetsufumi Hirano. Workshop for Particle Correlations and Femtoscopy 2011 - PowerPoint PPT Presentation
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Akihiko MonnaiDepartment of Physics, The University of Tokyo
Collaborator: Tetsufumi Hirano
Viscous Hydrodynamic Deformation in Rapidity Distributions of the Color Glass Condensate
Workshop for Particle Correlations and Femtoscopy 2011September 24th 2011, The University of Tokyo, Japan
AM and T. Hirano, Phys. Lett. B 703, 583 (2011)
WPCF 2011, Sep 24th, The University of Tokyo, Japan
Akihiko Monnai (The University of Tokyo) Viscous Hydrodynamic Deformation in Rapidity Distribution of the Color Glass Condensate
Next slide:
Introduction Quark-gluon plasma (QGP) at relativistic heavy ion collisions
Hadron phase QGP phase
(crossover) sQGP (wQGP?)
The QGP quantified as a nearly-perfect fluid
RHIC experiments (2000-)
Viscosity is important in detailed analyses
Introduction
LHC experiments (2010-)
Heavy ion collisions of higher energies
Will the RHIC modeling work at LHC?
WPCF 2011, Sep 24th, The University of Tokyo, Japan
Akihiko Monnai (The University of Tokyo) Viscous Hydrodynamic Deformation in Rapidity Distribution of the Color Glass Condensate
Next slide:
Introduction Modeling a high-energy heavy ion collision
The First ALICE Result
particles
hadronic phase
QGP phase
Freezeout
Pre-equilibrium
Hydrodynamic stage
Color glass condensate
Hadronic cascade
Initial condition
Hydro to particles
t
z
t
Color glass condensate (CGC)
Relativistic hydrodynamics
Description of saturated gluons in the nuclei before a collision (τ < 0 fm/c)
Description of collective motion of the QGP (τ ~ 1-10 fm/c)
WPCF 2011, Sep 24th, The University of Tokyo, Japan
Akihiko Monnai (The University of Tokyo) Viscous Hydrodynamic Deformation in Rapidity Distribution of the Color Glass Condensate
Next slide:
The First ALICE Result Mid-rapidity multiplicity
CGC in Heavy Ion Collisions
ALICE data (most central 0-5%)
CGC
Pb+Pb, 2.76 TeV at η = 0K. Aamodt et al. PRL105 252301
MotivationThe CGC is fit to RHIC data; What is happening at LHC?
WPCF 2011, Sep 24th, The University of Tokyo, Japan
Akihiko Monnai (The University of Tokyo) Viscous Hydrodynamic Deformation in Rapidity Distribution of the Color Glass Condensate
Next slide:
CGC in Heavy Ion Collisions Saturation scale in MC-KLN model
CGC in Heavy Ion Collisions
Fixed via direct comparison with data
dNch/dη gets steeper with increasing λ; RHIC data suggest λ~0.28
Initial conditionfrom the CGC
Hydrodynamic evolution
Observed particle distribution
A missing piece!
Initial conditionfrom the CGC
Observed particle distribution
: thickness function: momentum fraction of incident particles
D. Kharzeev et al., NPA 730, 448H. J. Drescher and Y. Nara, PRC 75, 034905; PRC 76, 041903
dN/dy
λ=0.28λ=0.18
λ=0.38
WPCF 2011, Sep 24th, The University of Tokyo, Japan
Akihiko Monnai (The University of Tokyo) Viscous Hydrodynamic Deformation in Rapidity Distribution of the Color Glass Condensate
Next slide:
CGC in Heavy Ion Collisions CGC + Hydrodynamic Model
Hydrodynamic Model
Initial conditionfrom the CGC
Hydrodynamic evolution
Observed particle distribution
A missing piece!
The first time the CGC rapidity distribution is discussed in terms of viscous hydrodynamics
We estimate hydrodynamic effects with(i) non-boost invariant expansion(ii) viscous corrections for the CGC
In this work…
WPCF 2011, Sep 24th, The University of Tokyo, Japan
Akihiko Monnai (The University of Tokyo) Viscous Hydrodynamic Deformation in Rapidity Distribution of the Color Glass Condensate
Next slide:
Hydrodynamic Model Full 2nd order viscous hydrodynamic equations
Model Input for Hydro
Solve in (1+1)-D relativistic coordinates (= no transverse flow) with Landau frame where local energy flux is the flow
EoM for bulk pressure
EoM for shear tensor
Energy-momentum conservation +AM and T. Hirano, NPA 847, 283
All the terms are kept
WPCF 2011, Sep 24th, The University of Tokyo, Japan
Akihiko Monnai (The University of Tokyo) Viscous Hydrodynamic Deformation in Rapidity Distribution of the Color Glass Condensate
Next slide:
Model Input for Hydro Equation of state and transport coefficients