Viscous Hydrodynamic Deformation in Rapidity Distributions of the Color Glass Condensate
Explore the study by Akihiko Monnai and Tetsufumi Hirano on the viscous hydrodynamic deformation in rapidity distributions of the Color Glass Condensate, focusing on the quark-gluon plasma, hadronic phase, and heavy ion collisions. The research delves into the modeling of high-energy collisions, freezeout processes, and the Color Glass Condensate in relation to collective motion and multiplicity data from experiments like ALICE. Dive into the detailed analyses on viscosity and saturation scales to better understand the dynamics of these complex systems.
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AM and T. Hirano, Phys. Lett. B 703, 583 (2011) Viscous 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 September 24th2011, The University of Tokyo, Japan
Akihiko Monnai (The University of Tokyo) Viscous Hydrodynamic Deformation in Rapidity Distribution of the Color Glass Condensate Introduction Quark-gluon plasma (QGP) at relativistic heavy ion collisions Hadron phase (crossover) QGP phase sQGP (wQGP?) RHIC experiments (2000-) The QGP quantified as a nearly-perfect fluid Viscosity is important in detailed analyses 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 Next slide: Introduction
Akihiko Monnai (The University of Tokyo) Viscous Hydrodynamic Deformation in Rapidity Distribution of the Color Glass Condensate Introduction Modeling a high-energy heavy ion collision particles t Freezeout Hadronic cascade Hydro to particles Hydrodynamic stage QGP phase hadronic phase Pre- equilibrium Initial condition Color glass condensate z Color glass condensate (CGC) Description of saturated gluons in the nuclei before a collision ( < 0 fm/c) Relativistic hydrodynamics Description of collective motion of the QGP ( ~ 1-10 fm/c) WPCF 2011, Sep 24th, The University of Tokyo, Japan Next slide: The First ALICE Result
Akihiko Monnai (The University of Tokyo) Viscous Hydrodynamic Deformation in Rapidity Distribution of the Color Glass Condensate The First ALICE Result Mid-rapidity multiplicity K. Aamodt et al. PRL105 252301 Pb+Pb, 2.76 TeV at = 0 CGC Motivation The CGC is fit to RHIC data; What is happening at LHC? ALICE data (most central 0-5%) WPCF 2011, Sep 24th, The University of Tokyo, Japan Next slide: CGC in Heavy Ion Collisions
Akihiko Monnai (The University of Tokyo) Viscous Hydrodynamic Deformation in Rapidity Distribution of the Color Glass Condensate CGC in Heavy Ion Collisions Saturation scale in MC-KLN model D. Kharzeev et al., NPA 730, 448 H. J. Drescher and Y. Nara, PRC 75, 034905; PRC 76, 041903 =0.38 Fixed via direct comparison with data =0.28 =0.18 : thickness function : momentum fraction of incident particles dN/dy dNch/d gets steeper with increasing ; RHIC data suggest ~0.28 Initial condition from the CGC Observed particle distribution Initial condition from the CGC Hydrodynamic evolution Observed particle distribution A missing piece! CGC in Heavy Ion Collisions WPCF 2011, Sep 24th, The University of Tokyo, Japan Next slide:
Akihiko Monnai (The University of Tokyo) Viscous Hydrodynamic Deformation in Rapidity Distribution of the Color Glass Condensate CGC in Heavy Ion Collisions CGC + Hydrodynamic Model Initial condition from the CGC Hydrodynamic evolution Observed particle distribution A missing piece! In this work We estimate hydrodynamic effects with (i) non-boost invariant expansion (ii) viscous corrections for the CGC The first time the CGC rapidity distribution is discussed in terms of viscous hydrodynamics WPCF 2011, Sep 24th, The University of Tokyo, Japan Next slide: Hydrodynamic Model
Akihiko Monnai (The University of Tokyo) Viscous Hydrodynamic Deformation in Rapidity Distribution of the Color Glass Condensate Hydrodynamic Model Full 2ndorder viscous hydrodynamic equations + AM and T. Hirano, NPA 847, 283 Energy-momentum conservation EoM for bulk pressure EoM for shear tensor All the terms are kept Solve in (1+1)-D relativistic coordinates (= no transverse flow) with Landau frame where local energy flux is the flow WPCF 2011, Sep 24th, The University of Tokyo, Japan Next slide: Model Input for Hydro
Akihiko Monnai (The University of Tokyo) Viscous Hydrodynamic Deformation in Rapidity Distribution of the Color Glass Condensate Model Input for Hydro Equation of state and transport coefficients S. Borsanyi et al., JHEP 1011, 077 Equation of State: Lattice QCD P. Kovtun et al., PRL 94, 111601 A. Hosoya et al., AP 154, 229 Shear viscosity: = s/4 Bulk viscosity: eff= (5/2)[(1/3) cs2] AM and T. Hirano, NPA 847, 283 Relaxation times: Kinetic theory 2ndorder coefficients: Kinetic theory Boundary conditions at the initial time Initial flow: Bjorken flow (i.e. flow rapidity Yf= s) Energy distribution: MC-KLN type CGC (averaged over transverse area) Dissipative currents: WPCF 2011, Sep 24th, The University of Tokyo, Japan Next slide: Results
Akihiko Monnai (The University of Tokyo) Viscous Hydrodynamic Deformation in Rapidity Distribution of the Color Glass Condensate Results Distributions at isothermal hypersurface Tf= 0.16 TeV LHC RHIC Outward entropy flux Entropy production Flattening Enhancement If the true is larger at RHIC, it enhances dN/dy at LHC; Hydro effect is a candidate for explaining the gap at LHC WPCF 2011, Sep 24th, The University of Tokyo, Japan Next slide: Results
Akihiko Monnai (The University of Tokyo) Viscous Hydrodynamic Deformation in Rapidity Distribution of the Color Glass Condensate Results Hydrodynamic parameter dependences (at the LHC) Entropy production is roughly proportional to viscous coefficients Shear viscous effects are dominant in the QGP phase CGC parameter dependence to be explored Fix the real from rapidity distribution and centrality dependences WPCF 2011, Sep 24th, The University of Tokyo, Japan Next slide: Summary and Outlook
Akihiko Monnai (The University of Tokyo) Viscous Hydrodynamic Deformation in Rapidity Distribution of the Color Glass Condensate Summary and Outlook We solved full 2ndorder viscous hydro in (1+1)-dimensions for the shattered color glass condensate Non-trivial deformation of CGC rapidity distribution due to (i) outward entropy flux (non-boost invariant effect) (ii) entropy production (viscous effect) Viscous hydrodynamic effect may play an important role in understanding the seemingly large multiplicity at LHC Future prospect includes: AM & T. Hirano, in preparation Analyses on the CGC parameter dependences, rcBK, etc Estimation of the effects of transverse flow via developing (3+1)-dimensional viscous hydrodynamic model, etc WPCF 2011, Sep 24th, The University of Tokyo, Japan Next slide: The End
Akihiko Monnai (The University of Tokyo) Viscous Hydrodynamic Deformation in Rapidity Distribution of the Color Glass Condensate The End Thank you for listening! Website: http://tkynt2.phys.s.u-tokyo.ac.jp/~monnai/index.html WPCF 2011, Sep 24th, The University of Tokyo, Japan Next slide:
