New Developments in Relativistic Viscous Hydrodynamics
arXiv:0902.3663 · doi:10.1142/S0218301310014613
Abstract
Starting with a brief introduction into the basics of relativistic fluid dynamics, I discuss our current knowledge of a relativistic theory of fluid dynamics in the presence of (mostly shear) viscosity. Derivations based on the generalized second law of thermodynamics, kinetic theory, and a complete second-order gradient expansion are reviewed. The resulting fluid dynamic equations are shown to be consistent for all these derivations, when properly accounting for the respective region of applicability, and can be applied to both weakly and strongly coupled systems. In its modern formulation, relativistic viscous hydrodynamics can directly be solved numerically. This has been useful for the problem of ultrarelativistic heavy-ion collisions, and I will review the setup and results of a hydrodynamic description of experimental data for this case.
49 pages, 12 figures, lecture notes in review form; v2: added references; v3: typo in (40) corrected
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Cited by in corpus (368)
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- Jet quenching in high-energy heavy-ion collisions
- Thermodynamics of the QCD plasma and the large-N limit
- Mapping the hydrodynamic response to the initial geometry in heavy-ion collisions
- QCD equation of state at nonzero chemical potential: continuum results with physical quark masses at order mu^2
- Small System Collectivity in Relativistic Hadron and Nuclear Collisions
- Heavy Ion Collisions: Achievements and Challenges
- Measurement of the elliptic anisotropy of charged particles produced in PbPb collisions at nucleon-nucleon center-of-mass energy = 2.76 TeV
- Causality and existence of solutions of relativistic viscous fluid dynamics with gravity
- Parton-Hadron-String Dynamics at Relativistic Collider Energies
- Relativistic Viscous Fluid Dynamics and Non-Equilibrium Entropy
- Transport Properties of the Quark-Gluon Plasma -- A Lattice QCD Perspective
- Causality of Holographic Hydrodynamics
- Testing viscous and anisotropic hydrodynamics in an exactly solvable case
- Flat holography and Carrollian fluids
- Conformal hydrodynamics in Minkowski and de Sitter spacetimes
- Initial State Fluctuations and Final State Correlations in Relativistic Heavy-Ion Collisions
- Particle spectra in Pb-Pb collisions at 2.76 TeV
- The stickiness of sound: An absolute lower limit on viscosity and the breakdown of second order relativistic hydrodynamics
- Systematic parameter study of hadron spectra and elliptic flow from viscous hydrodynamic simulations of Au+Au collisions at sqrt(s_NN) = 200 GeV
- Determining Fundamental Properties of Matter Created in Ultrarelativistic Heavy-Ion Collisions
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- A holographic view on physics out of equilibrium
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- Plasma Physics of Extreme Astrophysical Environments
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- Holography and hydrodynamics with weakly broken symmetries
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- Relativistic hydrodynamics in heavy-ion collisions: general aspects and recent developments
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- Transverse-momentum fluctuations in relativistic heavy-ion collisions from event-by-event viscous hydrodynamics
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- Resurgence in Extended Hydrodynamics
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- Deviation from quark-number scaling of the anisotropy parameter v_2 of pions, kaons, and protons in Au+Au collisions at sqrt(s_NN) = 200 GeV
- Bottomonium suppression using a lattice QCD vetted potential
- On viscous flow and azimuthal anisotropy of quark-gluon plasma in strong magnetic field
- Heavy-ion collisions at the Large Hadron Collider: a review of the results from Run 1
- A fully relativistic lattice Boltzmann algorithm
- Initial state fluctuations in collisions between light and heavy ions
- Thermalization, Isotropization and Elliptic Flow from Nonequilibrium Initial Conditions with a Saturation Scale
- Ideal spin hydrodynamics from Wigner function approach
- Progress in the Glauber model at collider energies
- Shear-bulk coupling in nonconformal hydrodynamics
- Two-dimensional fluids and their holographic duals
- Fluctuations around Bjorken Flow and the onset of turbulent phenomena
- Divergence-type 2+1 dissipative hydrodynamics applied to heavy-ion collisions
- Fluid Dynamics and Viscosity in Strongly Correlated Fluids
- Thermodynamical second-order hydrodynamic coefficients
- Anisotropic flow far from equilibrium
- Relativistic Fluid Dynamics In and Out of Equilibrium -- Ten Years of Progress in Theory and Numerical Simulations of Nuclear Collisions
- Ab Initio Coupling of Jets to Collective Flow in the Opacity Expansion Approach
- Identifying the nature of the QCD transition in relativistic collision of heavy nuclei with deep learning
- Longitudinal Decorrelation of Anisotropic Flows in Heavy-ion Collisions at the CERN Large Hadron Collider
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- Holographic Schwinger-Keldysh effective field theories
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- Measurements of azimuthal anisotropy and charged-particle multiplicity in Au collisions at 200, 62.4, 39, and 19.6 GeV
- Bounds on transport from hydrodynamic stability
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- Collective flow without hydrodynamics: simulation results for relativistic ion collisions
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- Single electron yields from semileptonic charm and bottom hadron decays in AuAu collisions at GeV
- J/ elliptic and triangular flow in Pb-Pb collisions at = 5.02 TeV
- Equilibration of weakly coupled QCD plasmas
- Equilibration of the Quark-Gluon Plasma at finite net-baryon density in QCD kinetic theory
- Thermalization of gluons with Bose-Einstein condensation
- Improved Hydrodynamics from the AdS/CFT
- Gradient expansion for anisotropic hydrodynamics
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- A real-time thermal field theoretical analysis of Kubo-type shear viscosity : Numerical understanding with simple examples
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- A Holographic Path to the Turbulent Side of Gravity
- Color Glass Condensate and Glasma
- Exploring theoretical uncertainties in the hydrodynamic description of relativistic heavy-ion collisions
- Gauges in Three-Dimensional Gravity and Holographic Fluids
- On non-conformal kinetic theory and hydrodynamics for Bjorken flow
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- The causality and stability of relativistic spin-hydrodynamics
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- Hydrodynamic Attractors in Ultrarelativistic Nuclear Collisions
- Dilepton production and elliptic flow from an anisotropic quark-gluon plasma
- Low frequency propagating shear waves in holographic liquids
- Progress and Challenges in Small Systems
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- Thermal photons in QGP and non-ideal effects
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- Anisotropic hydrodynamics for conformal Gubser flow
- Principal Component Analysis of collective flow in Relativistic Heavy-Ion Collisions
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- Longitudinal Dynamics of High Baryon Density Matter in High Energy Heavy-Ion Collisions
- Longitudinal distribution of initial energy density and directed flow of charged particles in relativistic heavy-ion collisions
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- Late time behavior of non-conformal plasmas
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- Fluid/gravity correspondence: Second order transport coefficients in compactified D4-branes
- Indications of early thermalization in relativistic heavy-ion collisions
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- Spin polarization and correlation of quarks from glasma
- A new continuum model for general relativistic viscous heat-conducting media
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- Renormalized Linear Kinetic Theory as Derived from Quantum Field Theory - a novel diagrammatic method for computing transport coefficients -
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- Viscous Hydrodynamics and Relativistic Heavy Ion Collisions
- The ultraviolet limit and sum rule for the shear correlator in hot Yang-Mills theory
- Kinetic approach to relativistic dissipation
- Third-order relativistic hydrodynamics: dispersion relations and transport coefficients of a dual plasma
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- Effective dynamics of a nonabelian plasma out of equilibrium
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- Investigation of Hot QCD Matter: Theoretical Aspects
- Some Aspects of the Theory of Heavy Ion Collisions
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- Relativistic viscoelastic fluid mechanics
- Causality violations in simulations of large and small heavy-ion collisions
- Quarkonium propagation in the quark gluon plasma
- Primordial gravitational waves amplification from causal fluids
- Interacting hadron resonance gas model in magnetic field and the fluctuations of conserved charges
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- Relativistic Hydrodynamics: A Singulant Perspective
- Fluctuating fluid dynamics for the QGP in the LHC and BES era
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- Energy momentum tensor correlators in hot Yang-Mills theory: holography confronts lattice and perturbation theory
- Comprehensive simulation of heavy-ion collisions at non-zero baryon chemical potential
- Relaxation time ansatz and shear and bulk viscosities of gluon matter
- Emergent Hydrodynamic Mode on SU(2) Plaquette Chains and Quantum Simulation
- Shock Waves in Relativistic Anisotropic Hydrodynamics
- Second order equilibrium transport in strongly coupled supersymmetric Yang-Mills plasma via holography
- Viscosity, wave damping and shock wave formation in cold hadronic matter
- Thermal noise in a boost-invariant matter expansion in relativistic heavy-ion collisions
- Far-off-equilibrium expansion trajectories in the QCD phase diagram
- Nonextensive hydrodynamics of boost-invariant plasmas
- Second order causal hydrodynamics in Eckart frame: using gradient expansion scheme
- Centrality dependence of Electrical and Hall conductivity at RHIC and LHC energies for a Conformal System
- Stationary models of magnetized viscous tori around a Schwarzschild black hole
- On Analytic Solutions of (1+3)D Relativistic Ideal Hydrodynamic Equations
- Causality and stability analysis of first-order field redefinition in relativistic hydrodynamics from kinetic theory
- Stable-to-unstable transition in quantum friction
- Collective dynamics of polarized spin-half fermions in relativistic heavy-ion collisions
- Nonlinear waves in second order conformal hydrodynamics
- Isotropization of the Quark Gluon Plasma
- Measurement of thermodynamics using gradient flow
- Heat transport and diffusion in a canonical model of a relativistic gas
- Utilizing maximum likelihood estimator for flow analysis
- Effective Field Theories of QCD for Heavy Quarkonia at Finite Temperature
- Transseries for causal diffusive systems
- Conformal higher-order viscoelastic fluid mechanics
- Correspondence between momentum dependent relaxation time and field redefinition of relativistic hydrodynamic theory
- Dissipative hydrodynamics for multi-component systems
- Nonlinear waves in a hot, viscous and nonextensive quark gluon plasma
- The Robinson-Trautman spacetime and its holographic fluid
- Collective flow and hydrodynamics in large and small systems at the LHC
- Anisotropic Flow and Jet Quenching in Relativistic Nuclear Collisions
- Rapidity Correlation Structures from Causal Hydrodynamics
- Metric anisotropies and emergent anisotropic hydrodynamics
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- Dynamical spectral structure of density fluctuation near QCD critical point
- Microscopic model for relativistic hydrodynamics of ideal plasmas
- Early time behavior of spatial and momentum anisotropies in kinetic theory across different Knudsen numbers
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- Hydrodynamic simulations of directed flow for light hadrons in Au+Au and isobar collisions 200 GeV
- Kaonic Hanbury-Brown-Twiss radii at 200 GeV and 5.02 TeV
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- Measurements of identified particle anisotropic flow in Cu+Au and U+U collisions by PHENIX experiment
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- Relativistic BGK hydrodynamics
- Causality Criteria from Stability Analysis at Ultra-High Boost
- The late to early time behaviour of an expanding plasma: hydrodynamisation from exponential asymptotics
- Recent progress in anisotropic hydrodynamics
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- Application range of perfect spin hydrodynamics
- Quadrature-based Lattice Boltzmann Model for Relativistic Flows
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- Relativistic fluid dynamics in heavy ion collisions
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- On the boundary condition and related instability in the Smoothed Particle Hydrodynamics
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- Hydrodynamics of strongly coupled non-conformal fluids from gauge/gravity duality
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- Finite size effect on the thermodynamics of a hot and magnetized hadron resonance gas
- Non-conformal evolution of magnetic fields during reheating
- Dynamic density correlations in a baryon rich fluid using Mori-Zwanzig-Nakjima projection operator method
- Gravitational susceptibility of QGP
- Resummed lattice QCD equation of state at finite baryon density: strangeness neutrality and beyond
- Linear Stability of Shock Waves in Ultrarelativistic Anisotropic Hydrodynamics
- Nonlinear analysis of causality for heat flow in heavy-ion collisions: constraints from equation of state
- Relativistic Dispersion Spectra across Lorentz boosted frames: Spurious modes and the enigma of causality
- A toy model of viscous relativistic geometrically thick disk in Schwarzschild geometry
- Fluctuations in ultra-relativistic heavy ion collisions
- Bulk and shear spectral functions in weakly and strongly coupled Yang-Mills theory
- Some Comments on Relativistic Hydrodynamics and Fuzzy Bags
- Perturbative Vacuum Wavefunctional for Gauge Theories in the Milne Space
- Viscosities of Gluon Dominated QGP Model within Relativistic Non-Abelian Hydrodynamics
- Formulation of relativistic dissipative fluid dynamics and its applications in heavy-ion collisions
- Production of thermal photons in viscous fluid dynamics with temperature-dependent shear viscosity
- Non-Equilibrium 2PI Potential and Its Possible Application to Evaluation of Bulk Viscosity
- Entropy current in relativistic quantum statistical mechanics
- A Large- Expansion for Minimum Bias
- Strongly Interacting Fermi Gases: Hydrodynamics and Beyond
- Relativistic diffusion of particles with a continuous mass spectrum
- High statistics lattice study of stress tensor correlators in pure gauge theory
- Hydrodynamization Physics from Holography
- Relativistic Viscous Hydrodynamics for High Energy Heavy Ion Collisions
- Extending Israel and Stewart hydrodynamics to relativistic superfluids via Carter's multifluid approach
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- Particle spectra in the integrated hydrokinetic model at RHIC Beam-Energy-Scan energies
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- A hyperbolic model for viscous Newtonian flows
- Conformally flat travelling plane wave solutions of Einstein equations
- What Can We Learn from Reaction Zone in Relativistic Nucleus-Nucleus Collisions?
- Holography in Quark-Gluon Plasma and Neutron Stars
- A multifluid perspective on multimessenger modelling
- The Polyakov loop dependence of bulk viscosity of QCD matter
- Testing a nonlinear solution of the Israel-Stewart theory
- A new shock-capturing numerical scheme for ideal hydrodynamics