Relativistic hydrodynamics for heavy-ion collisions

Abstract

Relativistic hydrodynamics is essential to our current understanding of nucleus-nucleus collisions at ultrarelativistic energies (current experiments at the Relativistic Heavy Ion Collider, forthcoming experiments at the CERN Large Hadron Collider). This is an introduction to relativistic hydrodynamics for graduate students. It includes a detailed derivation of the equations, and a description of the hydrodynamical evolution of a heavy-ion collisions. Some knowledge of thermodynamics and special relativity is assumed.

Lectures given at the Advanced School on Quark-Gluon Plasma, Indian Institute of Technology, Bombay, 3-13 July, 2007

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• Radial and elliptic flow at RHIC: further predictions
• Elliptic Flow of Identified Hadrons in Au+Au Collisions at sqrt(s_NN) = 200 GeV
• Elliptic flow in Au+Au collisions at sqrt(s_NN) = 130 GeV
• The Effect of Shear Viscosity on Spectra, Elliptic Flow, and HBT Radii
• Azimuthal anisotropy in Au+Au collisions at sqrtsNN = 200 GeV
• Hadron production in heavy ion collisions: Fragmentation and recombination from a dense parton phase
• Hadron production in Au-Au collisions at RHIC
• Elliptic flow at large transverse momenta from quark coalescence
• Hadronic dissipative effects on elliptic flow in ultrarelativistic heavy-ion collisions
• Identified particle distributions in pp and Au+Au collisions at sqrt{s_NN}=200 GeV
• A calculation of the shear viscosity in SU(3) gluodynamics
• Scaling properties of azimuthal anisotropy in Au+Au and Cu+Cu collisions at sqrt(s_NN) = 200 GeV
• System Size, Energy, Pseudorapidity, and Centrality Dependence of Elliptic Flow
• Hydrodynamic Models for Heavy Ion Collisions
• Space-time evolution of bulk QCD matter
• Thermal hadron production in pp and p{\bar p} collisions
• Dissipative Hydrodynamics and Heavy Ion Collisions
• QCD Plasma Instabilities and Bottom-Up Thermalization
• Charged Meson Rapidity Distributions in central Au+Au Collisions at sqrt(s_nn) = 200 GeV
• The centrality dependence of elliptic flow, the hydrodynamic limit, and the viscosity of hot QCD
• Elliptic flow and incomplete equilibration at RHIC
• Centrality Dependence of the Charged Particle Multiplicity near Mid-Rapidity in Au+Au Collisions at sqrt(s_NN) = 130 and 200 GeV
• Momentum spectra, anisotropic flow, and ideal fluids
• The eccentricity in heavy-ion collisions from Color Glass Condensate initial conditions
• Azimuthal anisotropy and correlations at large transverse momenta in $p+p$ and Au+Au collisions at $\sqrt{s_{{}_{NN}}}$= 200 GeV
• Hydrodynamic afterburner for the Color Glass Condensate and the parton energy loss
• Fluctuations of the Initial Conditions and the Continuous Emission in Hydrodynamic Description of Two-Pion Interferometry
• Universality of the saturation scale and the initial eccentricity in heavy ion collisions
• System size, energy and pseudorapidity dependence of directed and elliptic flow at RHIC
• RHIC-tested predictions for low-$p_T$ and high-$p_T$ hadron spectra in nearly central Pb+Pb collisions at the LHC
• Chemical thermalization in relativistic heavy ion collisions
• Multiplicities and Transverse Energies in Central AA Collisions at RHIC and LHC from pQCD, Saturation and Hydrodynamics
• Hydrodynamics of nuclear collisions with initial conditions from perturbative QCD
• Transition temperature in QCD with physical light and strange quark masses
• Aspects of causal viscous hydrodynamics

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• Temperature dependence of shear viscosity of $SU(3)$--gluodynamics within lattice simulation
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• Electromagnetic response of quark-gluon plasma in heavy-ion collisions
• Shrinking the Quark Gluon Plasma
• Effects of magnetic field on the plasma evolution in relativistic heavy-ion collisions
• (3+1)-dimensional dissipative relativistic fluid dynamics at non-zero net baryon density
• Constraining models of initial conditions with elliptic and triangular flow data
• Constraint fitting of experimental data with a jet quenching model embedded in a hydrodynamical bulk medium
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• Dynamical entropy of dense QCD states
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• Transverse mass scaling of dilepton radiation off a quark-gluon plasma
• Fluid velocity from transverse momentum spectra
• Advances in Quark Gluon Plasma
• Kadomtsev-Petviashvili equation in Relativistic Fluid Dynamics
• Diffusion matrix associated with the diffusion processes of multiple conserved charges in a hot and dense hadronic matter
• Exact Relativistic Ideal Hydrodynamical Solutions in (1+3)D with Longitudinal and Transverse Flows
• Comprehensive simulation of heavy-ion collisions at non-zero baryon chemical potential
• Charged particle elliptic flow in p+p collisions at LHC energies in a transport model PACIAE
• Probing vorticity in heavy ion collision with dilepton production
• Measurement of emission angle anisotropy via long-range angular correlations with high $p_T$ hadrons in $d$$+$Au and $p$$+$$p$ collisions at $\sqrt{s_{{}_{NN}}}=200$ GeV
• Estimation of the chiral magnetic effect considering the magnetic field response of the QGP medium
• Viscosity, wave damping and shock wave formation in cold hadronic matter
• Nonlinear waves in second order conformal hydrodynamics
• Ultra-light Glueballs in Quark-Gluon Plasma
• α'-Corrected Chiral Magnetic Effect
• Updated analysis of jet quenching at RHIC and LHC within the light cone path integral approach
• Domain growth and fluctuations during quenched transition to QGP in relativistic heavy-ion collisions
• Klein-Gordon Equation in Hydrodynamical Form
• Hawking radiation from acoustic black holes in relativistic heavy ion collisions
• Jet Propagation and Mach-Cone Formation in (3+1)-dimensional Ideal Hydrodynamics
• Fluidity of the system produced in relativistic pp and heavy-ion collisions: Hadron resonance gas model approach
• Multiplicity fluctuations and correlations in 5.02 TeV p+Pb collisions at zero impact parameter
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• Hydrodynamic description of the baryon-charged quark-gluon plasma
• Chiral Magnetic Effect in the Anisotropic Quark-Gluon Plasma
• Third order viscous hydrodynamics from the entropy four current
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• Relativistic fluid dynamics in heavy ion collisions
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• A comparative study of different approaches for heavy quark energy loss, based on the latest experimental data
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• Rapidity dependence of mean transverse momentum fluctuation and decorrelation in baryon-dense medium
• Extracting the speed of sound of QCD from transverse momentum fluctuations
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• Particle Production at CBM in a Thermal Model Approach
• Constraints on shear stress tensor in viscous relativistic hydrodynamics
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