Comparison of Hydrodynamics and Kinetic Transport Theory for p+A - - PowerPoint PPT Presentation

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Comparison of Hydrodynamics and Kinetic Transport Theory for p+A - - PowerPoint PPT Presentation

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Comparison of Hydrodynamics and Kinetic Transport Theory for p+A and A+A Collisions Carsten Greiner with Kai Gallmeister, Harri Niemi , Dirk Rischke Bormio 56 th winter meeting, january 2018 Hydrodynamics & BAMPS Initial state specific

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Comparison of Hydrodynamics and Kinetic Transport Theory for p+A and A+A Collisions

Hydrodynamics & BAMPS Initial state

specific transversal distribution longitudinal boost invariance

Results and Outlook

What can we learn?

Carsten Greiner with Kai Gallmeister, Harri Niemi , Dirk Rischke Bormio 56th winter meeting, january 2018

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BAMPS

(3+1)D Boltzmann equation Massless particles: partons / quarks & gluons Discretized space and time Testparticle ansatz:

Z.Xu, C.Greiner, PRC 71 (2005) 064901 Z.Xu, C.Greiner, PRC 76 (2007) 024911

Boltzmann Approach to Multi-Parton Scattering

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3

Nuclear modification factor RAA

  • Hadronization of high 𝒒𝒖 partons with AKK fragmentation functions
  • LPM parameter fixed by comparison to RHIC data
  • Realistic suppression both for RHIC and LHC
  • Phys. Rev. Lett. 114 (2015) 112301
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Elliptic flow v2

  • Same pQCD interactions lead to a sizeable elliptic flow for bulk medium
  • No hadronization for bulk medium β†’ no hadronic after-burner
  • Phys. Rev. Lett. 114 (2015) 112301
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x=0: Israel-Stewart x=3: third-order rel. diss. hydro x=5/3: approximative β€˜all-orders’ > Resummation works at strong dissipation (large Knudsen number!).

  • A. El, Z. Xu, C. Greiner,

PRC 81 (2010) 041901

  • A. Jaiswal, Phys.Rev.C87:051901,2013

Hydro vs BAMPS in 1D

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Relativistic Fluid Dynamics

Conservation laws & tensor decompositions

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Relativistic Fluid Dynamics

Transient / second order fluid dynamics (e.g. Israel & Stewart)

( and independent variables)

Second order coefficients from

G.S.Denicol, H.Niemi, E.Molnar, D.H.Rischke, PRD 85, 114047 (2012)

Expansion in Knudsen and (inverse) Reynolds number Hydrodynamical limit: and

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Comparison Hydro / BAMPS in 3D Collectivity in Heavy Ion Collision? Fast Thermalization? Flow?

Longitudinal: Boost invariant Transversal:

Radial symmetric, large/small system Glauber; overlapping Woods-Saxon

How small can system be, how large can gradients be, until disrepancies occur?

A+A p+A, p+p

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Comparison 1: Radial symmetric

Longitudinal: boost invariant Transversal:

Rotational symmetric Gaussian density profile, or

Temperature Fugacity

  • nly gluons

Cross section:

Elastic Isotropic Constant

start in full equilibrium

A+A p+A, p+p

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Comparison 2: Glauber

Longitudinal: boost invariant Transversal:

Overlapping Woods-Saxon Impact parameter dependence selected value: 7.5 fm

Temperature Fugacity

  • nly gluons

Cross section:

Elastic Isotropic Constant

A+A = (β€œnBCβ€œ)

start in full equilibrium

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Available eta/s

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Comparison: Glauber

Knudsen number

Hydrodynamical limit:

A+A

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Comparison: Glauber

Glauber, 5mb: energy density & velocity

5mb: still very nice agreement A+A

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Comparison: Glauber

Pressure ratio: PL/PT (in the LRF)

5 mb 100 mb A+A 5mb: still very nice agreement

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Comparison: Glauber

Glauber, 5mb: shear stress tensor

5mb: still very nice agreement A+A

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Comparison: Glauber

A+A

Asymmetry:

5 mb 100 mb

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Comparison: Radial symmetric (small)

Knudsen number

Hydrodynamical limit:

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Comparison: Radial symmetric (small, 5mb)

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Comparison: Radial symmetric (small, 1mb)

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Comparison: Radial symmetric (large)

Pressure ratio: PL/PT (in the LRF)

1 mb 20 mb

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Comparison: Radial symmetric (small)

Pressure ratio: PL/PT (in the LRF)

1 mb 20 mb

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Comparison 2: Glauber

A+A

Spectra:

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Comparison 2: Glauber

Large uncertainty due to viscous correction terms Strong dependence on freeze out conditions

A+A

Flow:

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Comparison 2: Glauber

Flow:

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Flow:

Comparison 2: Glauber

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Comparison 2: Glauber, escaping probability

6 % 15 % 50 % 25 %

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Conclusions

Comparison of 3D Bjorken Scenario Radial symmetric configuration

Nice agreement (~10%) for densities, temperatures, velocities Systematic deviation of fugacities Deviations in components of shear-stress tensor No difference between large and small system

Asymmetric configuration

Same agreement as in radial symmetric case eP and flow v2: nice agreement, dependence on freeze-out

Work in progress: quantify deviation as function of Knudsen number ToDo: hot spots, anisotropic hydro, … Work in progress: Greif, Schenke, …; IP-Glasma for p+A

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Heavy-ion collisions are complex !

No model can describe all aspects of the QGP evolution

Glauber Gluon saturation Early thermalisation Dynamical bulk description

QGP

Energy loss

jet quenching and recovery

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30

Heavy flavor and charged hadron RAA at LHC

LHC

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Transport coefficients

  • ngoing projects:

β†’ baryon diffusion coefficient β†’ charm diffusion coefficient β†’ study effective couplings momentum broadening: we have studied: β†’ shear viscosity β†’ heat conductivity β†’ electric conductivity β†’ 𝒓 shear viscosity

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time evolution of viscous shocks

Tleft = 400 MeV Tright = 320 MeV

Ξ·/s = 1/(4 Ο€)

t=0.5 fm/c t=1.5 fm/c t=3 fm/c t=5 fm/c