Relativistic anisotropic hydrodynamics
arXiv:1712.03282 · doi:10.1016/j.ppnp.2018.05.004
Abstract
In this paper we review recent progress in relativistic anisotropic hydrodynamics. We begin with a pedagogical introduction to the topic which takes into account the advances in our understanding of this topic since its inception. We consider both conformal and non-conformal systems and demonstrate how one can implement a realistic equation of state using a quasiparticle approach. We then consider the inclusion of non-spheroidal (non-ellipsoidal) corrections to leading-order anisotropic hydrodynamics and present the findings of the resulting second-order viscous anisotropic hydrodynamics framework. We compare the results obtained in both the conformal and non-conformal cases with exact solutions to the Boltzmann equation and demonstrate that, in all known cases, anisotropic hydrodynamics best reproduces the exact solutions. Based on this success, we then discuss the phenomenological application of anisotropic hydrodynamics. Along these lines, we review techniques which can be used to convert a momentum-space anisotropic fluid into hadronic degrees of freedom by generalizing the original idea of Cooper-Frye freeze-out to momentum-space anisotropic systems. And, finally, we present phenomenological results of 3+1d quasiparticle anisotropic hydrodynamic simulations and compare them to experimental data produced in 2.76 TeV Pb-Pb collisions at the LHC. Our results indicate that anisotropic hydrodynamics provides a promising framework for describing the dynamics of the momentum-space anisotropic QGP created in heavy-ion collisions.
arXiv comment87 pages, 25 figures; Invited review fo Progress in Nuclear and Particle Physics; v2 typo fixes and clarifications in some spots; published version
References in corpus (141)
- Viscosity Information from Relativistic Nuclear Collisions: How Perfect is the Fluid Observed at RHIC?
- The QCD equation of state with dynamical quarks
- Radial and elliptic flow at RHIC: further predictions
- Relativistic viscous hydrodynamics, conformal invariance, and holography
- Elliptic and triangular flow in event-by-event (3+1)D viscous hydrodynamics
- Derivation of transient relativistic fluid dynamics from the Boltzmann equation
- Collective Modes of an Anisotropic Quark-Gluon Plasma
- The Quark-Gluon Plasma: Collective Dynamics and Hard Thermal Loops
- Horizon formation and far-from-equilibrium isotropization in supersymmetric Yang-Mills plasma
- Simulating elliptic flow with viscous hydrodynamics
- The importance of the bulk viscosity of QCD in ultrarelativistic heavy-ion collisions
- From Quantum Field Theory to Hydrodynamics: Transport Coefficients and Effective Kinetic Theory
- New theories of relativistic hydrodynamics in the LHC era
- Dissipative Dynamics of Highly Anisotropic Systems
- Hydrodynamics Beyond the Gradient Expansion: Resurgence and Resummation
- Highly-anisotropic and strongly-dissipative hydrodynamics for early stages of relativistic heavy-ion collisions
- Isotropization and hydrodynamization in weakly coupled heavy-ion collisions
- Second Order Dissipative Fluid Dynamics for Ultra-Relativistic Nuclear Collisions
- Dissipative Hydrodynamics and Heavy Ion Collisions
- QCD Plasma Instabilities and Bottom-Up Thermalization
- Boost invariant flow, black hole formation, and far-from-equilibrium dynamics in N = 4 supersymmetric Yang-Mills theory
- Collective modes of an Anisotropic Quark-Gluon Plasma II
- Symmetry constraints on generalizations of Bjorken flow
- Dissipative relativistic fluid dynamics: a new way to derive the equations of motion from kinetic theory
- Collective non-Abelian instabilities in a melting Color Glass Condensate
- The Unstable Glasma
- Matter in extremis: ultrarelativistic nuclear collisions at RHIC
- Apparent Thermalization due to Plasma Instabilities in Quark-Gluon Plasma
- Hard-Loop Dynamics of Non-Abelian Plasma Instabilities
- Influence of the shear viscosity of the quark-gluon plasma on elliptic flow in ultrarelativistic heavy-ion collisions
- Hard-thermal-loop Resummation of the Free Energy of a Hot Gluon Plasma
- Three-loop HTLpt thermodynamics at finite temperature and chemical potential
- Anisotropic flow in sqrt(s)=2.76 TeV Pb+Pb collisions at the LHC
- Centrality dependence of the pseudorapidity density distribution for charged particles in Pb-Pb collisions at = 2.76 TeV
- Elliptic flow of identified hadrons in Pb-Pb collisions at = 2.76 TeV
- Dissipative hydrodynamics for viscous relativistic fluids
- Thermal Bottomonium Suppression at RHIC and LHC
- Bose--Einstein Condensation and Thermalization of the Quark Gluon Plasma
- Testing viscous and anisotropic hydrodynamics in an exactly solvable case
- Transport Coefficients of Bulk Viscous Pressure in the 14-moment approximation
- Conformal hydrodynamics in Minkowski and de Sitter spacetimes
- A fully dynamical simulation of central nuclear collisions
- THERMINATOR 2: THERMal heavy IoN generATOR 2
- From full stopping to transparency in a holographic model of heavy ion collisions
- The evolving Glasma
- Boost-Invariant (2+1)-dimensional Anisotropic Hydrodynamics
- Influence of a temperature-dependent shear viscosity on the azimuthal asymmetries of transverse momentum spectra in ultrarelativistic heavy-ion collisions
- Extracting the QGP viscosity from RHIC data -- a status report from viscous hydrodynamics
- Thermalization in Weakly Coupled Nonabelian Plasmas
- A numerical relativity approach to the initial value problem in asymptotically Anti-de Sitter spacetime for plasma thermalization - an ADM formulation
- The anisotropic non-equilibrium hydrodynamic attractor
- Resummation in Hot Field Theories
- Dynamics of Quark-Gluon-Plasma Instabilities in Discretized Hard-Loop Approximation
- Anisotropic Hydrodynamics for Rapidly Expanding Systems
- Relativistic third-order dissipative fluid dynamics from kinetic theory
- Hard-Loop Effective Action for Anisotropic Plasmas
- On the collision of two shock waves in AdS5
- Second-order (2+1)-dimensional anisotropic hydrodynamics
- Anisotropic flow from AGS to LHC energies
- A new exact solution of the relativistic Boltzmann equation and its hydrodynamic limit
- Anisotropic Hydrodynamics: Three lectures
- Third-order relativistic dissipative hydrodynamics
- Origin of the Relaxation Time in Dissipative Fluid Dynamics
- Three-loop HTL QCD thermodynamics
- Highly-anisotropic hydrodynamics in 3+1 space-time dimensions
- Instabilities of an anisotropically expanding non-Abelian plasma: 1D+3V discretized hard-loop simulations
- Relativistic dissipative hydrodynamics from kinetic theory with relaxation time approximation
- Transport coefficients for bulk viscous evolution in the relaxation time approximation
- Derivation of fluid dynamics from kinetic theory with the 14--moment approximation
- Studying the validity of relativistic hydrodynamics with a new exact solution of the Boltzmann equation
- Far-from-equilibrium attractors and nonlinear dynamical systems approach to the Gubser flow
- Plasma Instabilities in an Anisotropically Expanding Geometry
- Relativistic (Lattice) Boltzmann Equation with Non-Ideal Equation of State
- Dynamical vs. equilibrium properties of the QCD phase transition: a holographic perspective
- Holographic isotropization linearized
- The Abelianization of QCD Plasma Instabilities
- Thermal and Chemical Equilibration in Relativistic Heavy Ion Collisions
- Boost-invariant early time dynamics from AdS/CFT
- Instabilities of an anisotropically expanding non-Abelian plasma: 3D+3V discretized hard-loop simulations
- Relativistic Hydrodynamic Attractors with Broken Symmetries: Non-Conformal and Non-Homogeneous
- Bottomonia suppression in 2.76 TeV Pb-Pb collisions
- Derivation of anisotropic dissipative fluid dynamics from the Boltzmann equation
- Coupling hydrodynamics to nonequilibrium degrees of freedom in strongly interacting quark-gluon plasma
- Holographic thermalization with radial flow
- Gluon Transport Equation in the Small Angle Approximation and the Onset of Bose-Einstein Condensation
- 3+1d quasiparticle anisotropic hydrodynamics for ultrarelativistic heavy-ion collisions
- Solutions of Conformal Israel-Stewart Relativistic Viscous Fluid Dynamics
- Analytical attractor and the divergence of the slow-roll expansion in relativistic hydrodynamics
- Bulk viscous evolution within anisotropic hydrodynamics
- Thermodynamics, transport and relaxation in non-conformal theories
- Asymmetric Collision of Two Shock Waves in AdS_5
- Bottomonium suppression using a lattice QCD vetted potential
- Projection method and new formulation of leading-order anisotropic hydrodynamics
- Shock wave collisions in AdS5: approximate numerical solutions
- Bjorken Flow, Plasma Instabilities, and Thermalization
- Predictions for bottomonia suppression in 5.023 TeV Pb-Pb collisions
- Colliding shock waves and hydrodynamics in small systems
- Divergence-type nonlinear conformal hydrodynamics
- The effect of shear and bulk viscosities on elliptic flow
- From Entropy and Jet Quenching to Deconfinement?
- Components of the elliptic flow in Pb-Pb collisions at 2.76 TeV
- Divergence-type 2+1 dissipative hydrodynamics applied to heavy-ion collisions
- Centrality evolution of the charged-particle pseudorapidity density over a broad pseudorapidity range in Pb-Pb collisions at = 2.76 TeV
- Constraining relativistic viscous hydrodynamical evolution
- Closing the equations of motion of anisotropic fluid dynamics by a judicious choice of moment of the Boltzmann equation
- Anisotropic hydrodynamics for conformal Gubser flow
- Anisotropic hydrodynamic modeling of 2.76 TeV Pb-Pb collisions
- How big are the smallest drops of quark-gluon plasma?
- Paths to equilibrium in non-conformal collisions
- Quasiparticle equation of state for anisotropic hydrodynamics
- Expansion, Thermalization and Entropy Production in High-Energy Nuclear Collisions
- Color Instabilities in the Quark-Gluon Plasma
- Leading-order anisotropic hydrodynamics for central collisions
- Coupled kinetic equations for quarks and gluons in the relaxation time approximation
- Anisotropic matching principle for the hydrodynamics expansion
- Holographic Collisions in Non-conformal Theories
- Anisotropic fluid dynamics for Gubser flow
- Projection method for boost-invariant and cylindrically symmetric dissipative hydrodynamics
- Quasiparticle second-order viscous hydrodynamics from kinetic theory
- Quasiparticle anisotropic hydrodynamics for central collisions
- Model-independent determination of the shear viscosity of a trapped unitary Fermi gas: Application to high temperature data
- Thermalization and the chromo-Weibel instability
- Dissipative fluid dynamics for the dilute Fermi gas at unitarity: Anisotropic fluid dynamics
- Macroscopic approximation to relativistic kinetic theory from a nonlinear closure
- Highly anisotropic hydrodynamics -- discussion of the model assumptions and forms of the initial conditions
- Determination of Quark-Gluon-Plasma Parameters from a Global Bayesian Analysis
- Pre-Equilibrium Radial Flow from Central Shock-Wave Collisions in AdS5
- Dilepton production from the quark-gluon plasma using (3+1)-dimensional anisotropic dissipative hydrodynamics
- Anisotropic hydrodynamics for conformal Gubser flow
- A hydrodynamic approach to boost invariant free streaming
- Matching pre-equilibrium dynamics and viscous hydrodynamics
- The static hard-loop gluon propagator to all orders in anisotropy
- Exact solution of the (0+1)-dimensional Boltzmann equation for massive Bose-Einstein and Fermi-Dirac gases
- Testing different formulations of leading-order anisotropic hydrodynamics
- Exact solutions of the Boltzmann equation and optimized hydrodynamic approaches for relativistic heavy-ion collisions
- Transient oscillations in a macroscopic effective theory of the Boltzmann equation
- From SPS to RHIC: Breaking the Barrier to the Quark-Gluon Plasma
- Bottomonia suppression in heavy-ion collisions
- Quark self-energy in an ellipsoidally anisotropic quark-gluon plasma
- Pion femtoscopy measurements in ALICE at the LHC
- Recent progress in anisotropic hydrodynamics
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- 50 Years of Quantum Chromodynamics
- Nonlinear causality of general first-order relativistic viscous hydrodynamics
- The non-equilibrium attractor for kinetic theory in relaxation time approximation
- Non-resistive dissipative magnetohydrodynamics from the Boltzmann equation in the 14-moment approximation
- Bottomonium suppression in an open quantum system using the quantum trajectories method
- The smallest fluid on earth
- How does relativistic kinetic theory remember about initial conditions?
- Non-equilibrium attractor in high-temperature QCD plasmas
- The Present and Future of QCD
- Spin polarization dynamics in the Gubser-expanding background
- Far-from-equilibrium search for the QCD critical point
- Bottomonium production in heavy-ion collisions using quantum trajectories: Differential observables and momentum anisotropy
- Theories of Relativistic Dissipative Fluid Dynamics
- On non-conformal kinetic theory and hydrodynamics for Bjorken flow
- Hydrodynamics from free-streaming to thermalization and back again
- Bottomonium suppression and elliptic flow from real-time quantum evolution
- Dissipative Magnetohydrodynamics for Non-Resistive Relativistic Plasmas
- Anisotropic hydrodynamic modeling of 200 GeV Au-Au collisions
- Progress and Challenges in Small Systems
- Dilepton production and elliptic flow from an anisotropic quark-gluon plasma
- Small system studies: A theory overview
- Hydrodynamic flow in small systems, or: "How the heck is it possible that a system emitting only a dozen particles can be described by fluid dynamics?"
- Exact solution for the non-equilibrium attractor in number-conserving relaxation time approximation
- Conductivities of magnetic quark-gluon plasma at strong coupling
- Anisotropic escape mechanism and elliptic flow of bottomonia
- Bulk observables at 5.02 TeV using quasiparticle anisotropic hydrodynamics
- Photon production and elliptic flow from momentum-anisotropic quark-gluon plasma
- Bottomonium suppression and elliptic flow using Heavy Quarkonium Quantum Dynamics
- Quark Flavour Dependence of the Shear Viscosity in a Quasiparticle Model
- The applicability of hydrodynamics in heavy ion collisions at = 2.4-7.7 GeV
- The regime of applicability of Israel-Stewart hydrodynamics
- Resummed hydrodynamic expansion for a plasma of particles interacting with fields
- Maximum entropy kinetic matching conditions for heavy-ion collisions
- Dragging heavy quark in an anisotropic QCD medium beyond the static limit
- Far-from-equilibrium attractors for massive kinetic theory in the relaxation time approximation
- Dilepton polarization as a signature of plasma anisotropy
- Including off-diagonal anisotropies in anisotropic hydrodynamics
- An improved anisotropic hydrodynamics ansatz
- Fireball tomography from bottomonia elliptic flow in relativistic heavy-ion collisions
- Anisotropic hydrodynamics with number-conserving kernels
- Pion interferometry at 200 GeV using anisotropic hydrodynamics
- Nonextensive hydrodynamics of boost-invariant plasmas
- Shock Waves in Relativistic Anisotropic Hydrodynamics
- Bottomonium suppression at RHIC and LHC in an open quantum system approach
- Relativistic second-order dissipative and anisotropic fluid dynamics in the relaxation-time approximation for an ideal gas of massive particles
- Covariant formulation of gluon self-energy in presence of ellipsoidal anisotropy
- Infinite Order Hydrodynamics: An Analytical Example
- Collective effects in nuclear collisions: theory overview
- Collective modes of gluons in an anisotropic thermo-magnetic medium
- Anisotropic hydrodynamic modeling of heavy-ion collisions at LHC and RHIC
- Kaonic Hanbury-Brown-Twiss radii at 200 GeV and 5.02 TeV
- Paramagnetic squeezing of a uniformly expanding quark-gluon plasma in and out of equilibrium
- Gravitational Wave luminosity distance in viscous cosmological models
- Mapping GENERIC hydrodynamics into Carter's multifluid theory
- Initial conditions for nuclear collisions: theory overview
- Relativistic heat conduction in the large-flux regime
- Causality and stability in first-order conformal anisotropic hydrodynamics
- On nonadditive anisotropic relativistic hydrodynamics
- Deconfinement Phase Transition under Chemical Equilibrium
- Thermoelectric response of a hot and weakly magnetized anisotropic QCD medium
- Metric anisotropies and nonequilibrium attractor for expanding plasma
- Constraint evolution in first-order viscous relativistic fluids
- Quark matter with an anisotropic momentum distribution
- Bottomonium observables in an open quantum system using the quantum trajectories method
- Projecting the likely importance of weak-interaction-driven bulk viscosity in neutron star mergers
- Non-equilibrium evolution of quarkonium in medium in the open quantum system approach
- Linear Stability of Shock Waves in Ultrarelativistic Anisotropic Hydrodynamics
- Anisotropy effects on heavy quark dynamics in Gribov modified gluon plasma
- Bottomonium suppression and flow in heavy-ion collisions