KobayashiMaskawa Institute Nagoya University Department of Physics Nagoya
時空発展(流体、ハドロン化、渦) と課題について Kobayashi-Maskawa Institute, Nagoya University Department of Physics, Nagoya University Chiho NONAKA August 18, 2018@NIAS C. NONAKA
Development of Hydrodynamic Model Experimental data collisions thermalization hydro hadronization Initial condition Strong expansion in hs direction Freezeout process fluid +System size Observables • Multiplicity + Jets • Collective flows + photons + heavy flavor • Correlations • Vorticity …. . . • Chiral magnetic effect C. NONAKA freezeout particles QGP bulk property • Eo. S • Viscosity • Fluctuations • Quantum effect
Development of Hydrodynamic Model Experimental data collisions thermalization hydro hadronization Freezeout process Initial condition Strong expansion in hs direction C. NONAKA freezeout fluid particles • Relativistic viscous hydrodynamics - Bayesian analyses, deep learning - Equation? - Numerical aspects • Fluctuations (hydrodynamic, critical) • Anisotropic hydrodynamics • Freezeout process • Vorticity • Chiral
Bayesian Analyses, Deep Learning Parameters (inputs) model, assumption Experimental data Bernhard et al, PRC 94, 024907(2016) Data d. N/dy, , vn (n=2, 3, 4) Model TRENTO + VISH 2+1 +Ur. QMD Blue: identified particles yields Red : charged particles yields C. NONAKA
Bayesian Analyses, Deep Learning Parameters (inputs) model, assumption Experimental data Bernhard et al, PRC 94, 024907(2016) Initial conditions(TRENTO) h/s(T) • Heavy quark diffusion coefficient: Xu et al, PRC 97, 014907(2018) • Initial conditions for 3 D: Ke et al, PRC 96, 044912(2017), Moreland et al, ar. Xiv: 1808. 02016 …… C. NONAKA
Bayesian Analyses, Deep Learning Parameters (inputs) model, assumption Experimental data • Computational resources • Improvement of model and assumption • Experimental data Clues to understand QGP C. NONAKA
Relativistic Viscous Hydrodynamic Equation Bulk pressure • Israel Stewart – Phenomenological derivation – Applicability Ex. Huovinen and Molnar, PRC 79, 014906(2009) RHIC Au+Au Anisotropy C. NONAKA Shear stress tensor
Relativistic Viscous Hydrodynamic Equation • Israel Stewart Bulk pressure Shear stress tensor – Phenomenological derivation • From Boltzmann equation Denicol, Niemi, Molnar, Rischke, PRD 95, 114047(2012) Method of moment Knudsen number Inverse Reynolds number C. NONAKA
Ideal Karpenko C. NONAKA Numerical Aspects r. HLLE
Our Approach • Israel-Stewart Theory Takamoto and Inutsuka, ar. Xiv: 1106. 1732 Akamatsu, Inutsuka, C. N. , Takamoto, ar. Xiv: 1302. 1665 (ideal hydro) 1. dissipative fluid dynamics = advection + dissipation exact solution for Riemann problem Contact discontinuity t Rarefaction wave tt Shock wave Riemann solver: Godunov method Two shock approximation Mignone, Plewa and Bodo, Astrophys. J. S 160, 199 (2005) Rarefaction wave 2. relaxation equation = advection + stiff equation C. NONAKA shock wave
hnum vs Grid Size Nagoya: Godunov type (two shock) Numerical dissipation: Deviation from linear analyses (Llin) Ex. Heavy Ion Collisions l ~ 10 fm 0. 1<h/s<1 T=500 Me. V Dx << 0. 8 – 2. 6 fm C. NONAKA Fluctuating initial condition l ~ 1 fm Dx << 0. 25 – 0. 82 fm
Anisotropic Hydrodynamics Florkowski, Ryblewski, Martinez, Strickland… Florkowski, Ryblewski: PRC 83, 034907, JPG 40(2013)093101 Alqahtani et al, PPNP 101(2018)204 • Anisotropy in momentum-space at early stage of expansion Florkowski, Ryblewski, JPG 40(2013)093101 longitudinal axis from Boltzmann distribution entropy source entropy flux C. NONAKA Equation of State: eid, Pid, anisotropy x
Anisotropic Hydrodynamics Alqahtani et al, PPNP 101(2018)204 negative C. NONAKA
Freezeout Process • Viscosity Effect Bulk viscosity, Noronha-Hostler et al, PRC 88, 044916(2013) – Cooper- Frye Formula equilibrium Ex. Bulk viscosity non-equilibrium RHIC Au+Au moments: method of moments DS: Dusling, Schafer relaxation time approximation MH: Monnai, Hirano Grad’s 14 moments method C. NONAKA
Hydrodynamic Model Experimental data collisions thermalization Initial + condition hydro hadronization Hydrodynamics + +System size Observables • Multiplicity • Collective flows • Correlations C. NONAKA freezeout Freezeout process QGP bulk property • Eo. S • Viscosity
Polarization and Vorticity Kong@QM 2018 C. NONAKA
Polarization and Vorticity STAR, Nature 548, 62– 65 (03 August 2017) C. NONAKA
Vorticity Pang et al, PRL 117 (2016) no. 19, 192301 RHIC Au+Au 20 -30 % AMPT + (3+1)d viscous hydro L (fermion) becomes polarized in a vortical flid due to spin-vorticity coupling. Radial flow L spin correlation C. NONAKA Vortical structure of s. QGP
Local Polarization Longitudinal polarization C. NONAKA Becattini and Karpenko, PRL 120 (2018) no. 1, 012302
Kelvin-Helmholtz Instability perturbation Heavy Ion Collsions Csernai, Strottman, Anderlik, PRC 85(2012)054901 C. NONAKA vortexes higher harmonics event-by-event fluctuation • Fluctuation in londitudinal direction? • KHI occurs in Heavy Ion collisions? • Effect on collective flow? on transverse plane
KH Instability with Bjorken’s Flow Fluctuations in initial conditions ex color flux tubes Origin of shear flow and fluctuations around vh=0 at mid rapidity Does KHI happen in an expansion system? What is the effect on physical observables? C. NONAKA
KH Instability Ideal fluid C. NONAKA Okamoto, Nonaka, EPJC(2017)77, 383
Magneto Hydrodynamics Inghirami et al. , EPJC 76 (2016) no. 12, 659 Pang, PRC 93, 044919 (2016) Pu, Yang, PRD 93, 054042(2016). . . • ECHO-QGP – Numerical code – Test calculations • Magnetized shock tube, circularly-polarized Alfven-wave… – HIC Au+Au , b=10 fm p+ p+ Smooth initial condition, ideal fluid, Eo. S, freezeout, (2+1)d…. C. NONAKA
Summary Bayesian analyses Deep Learning Hydrodynamics Equilibrium Isotropic Macroscopic Quantum Effect Microscopic Kinetic theory Boltzmann eq. • QGP Bulk property • Novel features • Development of new framework C. NONAKA Non-equilibrium Fluctuations Viscosity Anisotropic Hydrodynamics Observables +System size • Multiplicity • Collective flows • Correlations • Vorticity • Chiral magnetic effect
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