RECENT DEVELOPMENT IN RELATIVISTIC HYDRODYNAMIC MODEL TETSUFUMI HIRANO

RECENT DEVELOPMENT IN RELATIVISTIC HYDRODYNAMIC MODEL TETSUFUMI HIRANO SOPHIA UNIV.

DISCLAIMER From organizers: “Your recent work on hydrodynamics” Highlights from hadron physics group in Sophia My charge: Invitation to parallel talks by students from our group

time SPACE-TIME EVOLUTION IN HEAVY ION COLLISIONS 0 TOPICS • Hadronic rescattering effects • Causal hydrodynamic fluctuation • Energy/Momentum transport away from jet collision axis • Chiral magnetic effect and anomalous hydrodynamics

TH, P. Huovinen, K. Murase and Y. Nara, Prog. Part. Nucl. Phys. 70, 108 (2013). S. Takeuchi, TH, P. Huovinen, K. Murase and Y. Nara, in preparation. H. Hinohara and TH, work in progress. HADRONIC RESCATTERING EFFECTS MEMBERS: SHIORI TAKEUCHI, HIROMI HINOHARA, KOICHI MURASE COLLABORATORS: PASI HUOVINEN, YASUSHI NARA

HADRONIC RESCATTERING EFFECTS time Final hadronic observables collision axis 0 • History of the whole space-time evolution • Direct information about the QGP? • Contaminated by hadronic rescatterings • Need penetrating probes?

INTEGRATED DYNAMICAL APPROACH time Hadronic cascade • JAM • On/off rescatterings Particlization • Cooper-Frye • Tsw = 155 Me. V collision axis 0 Ideal hydrodynamics • Full 3 D • Lattice EOS • Event-by-event Monte-Carlo initialization • Glauber • Karzeev-Levin-Nardi TH, P. Huovinen, K. Murase and Y. Nara, Prog. Part. Nucl. Phys. 70, 108 (2013).

1 D PION SOURCE FUNCTION Two-pion correlation function from Koonin-Pratt eq. in PCMS Non-Gaussian tail Significant hadronic rescattering effects on pion source function Pions, WITHOUT rescatterings Pions, WITH rescatterings Calculations by H. Hinohara S. E. Koonin, Phys. Lett. B 70, 43 (1977); S. Pratt et al. , Phys. Rev. C 42, 2646 (1990). S. S. Adler et al. [PHENIX Collaboration], Phys. Rev. Lett. 98, 132301 (2007).

VIOLATION OF MASS ORDERING FOR PHI MESONS Typical example of hadronic rescattering effect TH et al. , Phys. Rev. C 77, 044909 (2008). Phi mesons less rescattering with other hadrons See also, A. Shor, Phys. Rev. Lett. 54, 1122 (1985); H. Van Hecke et al. , Phys. Rev. Lett. 81, 5764 (1985).

VIOLATION OF MASS ORDERING FOR PHI MESONS (CONTD. ) M. Nasim [STAR Collaboration], Nucl. Phys. A 904 -905, 413 c (2013) Violation of mass ordering discovered by STAR

FREEZE-OUT TIME DISTRIBUTION Minimum bias f-mesons Minimum bias W-baryons Baryons Early freezeout for multi-strange hadrons “Multi-strange hadrons as penetrating probes” S. Takeuchi, 8/6(wed), 16: 20 -, hadron production session

K. Murase and TH, ar. Xiv: 1304. 3243 TH, R. Kurita, K. Murase and K. Nagai, ar. Xiv: 1407. 8357 CAUSAL HYDRODYNAMIC FLUCTUATION MEMBERS: KOICHI MURASE, RYUICHI KURITA, KENICHI NAGAI

Entropy FLUCTUATION DISSIPATION RELATION dissipation fluctuation Thermal equilibrium state = Maximum entropy state Balance between fluctuation and dissipation Stability of thermal equilibrium state

RELATIVISTIC FLUCTUATING HYDRODYNAMICS Stochastic constitutive equation Fluctuation-Dissipation relation : Symmetrized correlation function : Thermal fluctuation K. Murase and TH, ar. Xiv: 1304. 3243

QGP FLUIDS IN A BOX Ideal hydro Dissipative hydro Fluctuating hydro Almost ready to calculate observables within fluctuating hydro + cascade “Higher harmonics from causal hydrodynamic fluctuation” K. Murase, 8/6(wed), 14: 40 -, collective dynamics session

HYDRODYNAMIC FLUCTUATION IN BJORKEN EXPANSION Equation of motion : Energy density : Pressure : Entropy density : Shear stress : Bulk pressure Stochastic constitutive equations Shear: Bulk: : Shear viscosity : Bulk viscosity : Relaxation time Hydrodynamic noise Numerical simulations by K. Nagai (work in progress)

ENTROPY FLUCTUATION IN HEAVY ION COLLISIONS Centrality dependence of multiplicity fluctuation “Entropy fluctuation from hydrodynamic noise” R. Kurita, 8/6(wed), 14: 20 -, collective dynamics session TH, R. Kurita, K. Murase and K. Nagai, ar. Xiv: 1407. 8357

Y. Tachibana and TH, ar. Xiv: 1402. 6469, to appear in Phys. Rev. C (Rapid Communication) ENERGY/MOMENTUM TRANSPORT AWAY FROM JET MEMBER: YASUKI TACHIBANA

HYDRODYNAMIC RESPONSE TO JET QUENCHING QGP wake induced by jet energy and momentum loss

DISTORTED MACH CONE

EOS DEPENDENCE Ideal gas (Conformal matter) Lattice Eo. S (Wuppertal Budapest) S. Borsanyi et al. , JHEP 1011, 077 (2010) The larger emission angle, the softer Eo. S

MOMENTUM TRANSPORT OUT OF JET CONE Momentum transport away from jet axis “Momentum flow in dijet+QGP fluid system” Y. Tachibana, 8/6(wed), 15: 00 -, jets session

CHIRAL MAGNETIC EFFECT AND ANOMALOUS HYDRODYNAMICS MEMBER: MASARU HONGO COLLABORATOR: YUJI HIRONO

CHIRAL MAGNETIC WAVE chiral separation effect chiral magnetic effect D. Kharzeev and H. U. Yee(2011); Y. Burnier et al. (2011) Adapted from a seminar talk by M. Hongo at BNL (2013) For introduction of CME and CSE, see K. Fukushima, ar. Xiv: 1209. 5064

SIMULATION OF CHIRAL MAGNETIC WAVE Quadrupole deformation of charge density in transverse plane “Anomaly-induced transport in heavy-ion collisions” M. Hongo, 8/7(thu), 15: 00 -, Initial state physics session

(INSTEAD OF) SUMMARY Collective dynamics (8/6, wed. , pm) Ryuichi Kurita “Entropy fluctuation from hydrodynamic noise” Koichi Murase “Higher harmonics from causal hydrodynamic fluctuation” Jets (8/6, wed. , pm) Yasuki Tachibana “Momentum flow in dijet + QGP-fluid system” Hadron production (8/6, wed. , pm) Shiori Takeuchi “Multi-strange hadrons as penetrating probes” Initial state physics (8/7, thu. , pm) Masaru Hongo “Anomaly-induced transport in heavy-ion collisions” Stay-tuned Hiromi Hinohara, “Femtoscopic analysis from hybrid model” Kenichi Nagai, “Simulation of fluctuating hydro in Bjorken expansion”