Recent Development in RELATIVISTIC HYDRODYNAMIC MODEL

Recent Development in RELATIVISTIC HYDRODYNAMIC MODELTetsufumi HiranoSophia Univ.

DISCLAIMERFrom organizers: Your recent work on hydrodynamics

Highlights from hadron physics group in Sophia

My charge: Invitation to parallel talks by students from our groupSPACE-TIME EVOLUTION in heavy ion collisionsTOPICSHadronic rescattering effectsCausal hydrodynamic fluctuationEnergy/Momentum transport away from jetChiral magnetic effect and anomalous hydrodynamics0collision axistimeHADRONIC Rescattering effectsMembers: Shiori Takeuchi, Hiromi Hinohara, Koichi MuraseCollaborators: Pasi Huovinen, Yasushi NaraTH, 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 EFFECTS0collision axistimeFinal hadronic observablesHistory of the whole space-time evolutionDirect information about the QGP?Contaminated by hadronic rescatteringsNeed penetrating probes?INTEGRATED DYNAMICAL APPROACH0collision axistimeMonte-Carlo initialization GlauberKarzeev-Levin-NardiIdeal hydrodynamicsFull 3DLattice EOSEvent-by-eventParticlizationCooper-FryeTsw = 155 MeVHadronic cascadeJAMOn/off rescatteringsTH, P.Huovinen, K.Murase and Y.Nara, Prog. Part. Nucl. Phys. 70, 108 (2013).1D Pion source function

Pions, WITHOUT rescatterings

Pions, WITH rescatteringsTwo-pion correlation function from Koonin-Pratt eq.Non-Gaussian tail

Significant hadronic rescattering effects on pion source function

Calculations by H. Hinoharain PCMSS.E. Koonin, Phys. Lett. B70, 43 (1977); S.Pratt et al., Phys. Rev. C42, 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

Phi mesons less rescattering with other hadronsSee also, A. Shor, Phys. Rev. Lett. 54, 1122 (1985);H. Van Hecke et al., Phys. Rev. Lett. 81, 5764 (1985).TH et al., Phys. Rev. C 77, 044909 (2008).VIOLATION OF MASS ORDERING for PHI mesons (contd.)

M.Nasim [STAR Collaboration], Nucl. Phys. A 904-905, 413c (2013)Violation of mass ordering discovered by STARFreeze-out time distributionMulti-strange hadrons as penetrating probesS.Takeuchi, 8/6(wed), 16:20-, hadron production session

MesonsBaryonsf-mesonsW-baryonsMinimum biasMinimum biasEarly freezeout for multi-strange hadronsCAUSAL hydrodynamic fluctuation Members: Koichi Murase, Ryuichi Kurita, Kenichi NagaiK.Murase and TH, arXiv:1304.3243TH, R.Kurita, K.Murase and K.Nagai, arXiv:1407.8357FLUCTUATION DISSIPATION RELATIONEntropyfluctuationdissipationThermal equilibrium state= Maximum entropy stateBalance between fluctuation and dissipation Stability of the thermal equilibrium stateRelativistic Fluctuating hydrodynamics: Symmetrized correlation function: Thermal fluctuationFluctuation-Dissipation relationStochastic constitutive equationK.Murase and TH, arXiv:1304.3243QGP Fluids in a box

Ideal hydroDissipative hydroFluctuating hydroHigher harmonics from causal hydrodynamic fluctuationK.Murase, 8/6(wed), 14:40-,collective dynamics sessionAlmost ready to calculate observables within fluctuating hydro + cascadeHydrodynamic fluctuation in BJOrken expansionEquation of motionStochastic constitutive equations: Energy density: Pressure: Entropy density: Bulk pressure: Shear viscosity: Relaxation time: Bulk viscosityShear:Bulk:: Shear stressNumerical simulations by K. Nagai (work in progress)Hydrodynamic noiseENTROPY FLUCTUATION IN HEAVY ION COLLISIONSCentrality dependence of multiplicity fluctuationEntropy fluctuation from hydrodynamic noise R.Kurita, 8/6(wed), 14:20-,collective dynamics sessionTH, R.Kurita, K.Murase and K.Nagai, arXiv:1407.8357Energy/momentum transport away from jetMember: Yasuki TachibanaY.Tachibana and TH, arXiv:1402.6469,to appear in Phys. Rev. C (Rapid Communication)Hydrodynamic response to jet quenchingQGP wake induced by jet energy and momentum lossDistorted mach cone

EOS DEPENDENCE

Ideal gas(Conformal matter)Lattice EoS(Wuppertal Budapest)The larger emission angle, the softer EoSS. Borsanyi et al., JHEP 1011, 077 (2010)Momentum transport out of JET cone

Momentum transport away from jet axisMomentum flow in dijet+QGP fluid systemY.Tachibana, 8/6(wed), 15:00-, jets sessionChiral Magnetic Effect and Anomalous HydrodynamicsMember: Masaru HongoCollaborator: Yuji HironoCHIRAL MAGNETIC WAVE

Adapted from a seminar talk by M.Hongo at BNL (2013)D.Kharzeev and H.U.Yee(2011);Y.Burnier et al.(2011)For introduction of CME and CSE, see K.Fukushima, arXiv:1209.5064chiralseparationeffectchiralmagneticeffectSIMULATION OF CHIRAL MAGNETIC WAVEQuadrupole deformation of charge density in transverse planeAnomaly-induced transport in heavy-ion collisionsM.Hongo, 8/7(thu), 15:00-, Initial state physics session

(INSTEAD OF) SUMMARYCollective dynamics (8/6, wed., pm)Ryuichi Kurita Entropy fluctuation from hydrodynamic noiseKoichi MuraseHigher harmonics from causal hydrodynamic fluctuationJets (8/6, wed., pm)Yasuki TachibanaMomentum flow in dijet + QGP-fluid systemHadron production (8/6, wed., pm)Shiori Takeuchi Multi-strange hadrons as penetrating probesInitial state physics (8/7, thu., pm)Masaru HongoAnomaly-induced transport in heavy-ion collisionsStay-tunedHiromi Hinohara, Femtoscopic analysis from hybrid modelKenichi Nagai, Simulation of fluctuating hydro in Bjorken expansion