Relativistic anisotropic hydrodynamics

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.

87 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 (42)

• Viscosity Information from Relativistic Nuclear Collisions: How Perfect is the Fluid Observed at RHIC?
• The QCD equation of state with dynamical quarks
• Relativistic viscous hydrodynamics, conformal invariance, and holography
• Elliptic and triangular flow in event-by-event (3+1)D viscous hydrodynamics
• Horizon formation and far-from-equilibrium isotropization in supersymmetric Yang-Mills plasma
• Dissipative Dynamics of Highly Anisotropic Systems
• Highly-anisotropic and strongly-dissipative hydrodynamics for early stages of relativistic heavy-ion collisions
• Dissipative Hydrodynamics and Heavy Ion Collisions
• Dissipative relativistic fluid dynamics: a new way to derive the equations of motion from kinetic theory
• Influence of the shear viscosity of the quark-gluon plasma on elliptic flow in ultrarelativistic heavy-ion collisions
• Anisotropic flow in sqrt(s)=2.76 TeV Pb+Pb collisions at the LHC
• Elliptic flow of identified hadrons in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76 TeV
• Transport Coefficients of Bulk Viscous Pressure in the 14-moment approximation
• Boost-Invariant (2+1)-dimensional Anisotropic Hydrodynamics
• The anisotropic non-equilibrium hydrodynamic attractor
• A numerical relativity approach to the initial value problem in asymptotically Anti-de Sitter spacetime for plasma thermalization - an ADM formulation
• A new exact solution of the relativistic Boltzmann equation and its hydrodynamic limit
• Anisotropic Hydrodynamics: Three lectures
• Origin of the Relaxation Time in Dissipative Fluid Dynamics
• Highly-anisotropic hydrodynamics in 3+1 space-time dimensions
• Instabilities of an anisotropically expanding non-Abelian plasma: 1D+3V discretized hard-loop simulations
• Transport coefficients for bulk viscous evolution in the relaxation time 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
• 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
• Holographic thermalization with radial flow
• Bulk viscous evolution within anisotropic hydrodynamics
• Analytical attractor and the divergence of the slow-roll expansion in relativistic hydrodynamics
• Bottomonium suppression using a lattice QCD vetted potential
• Components of the elliptic flow in Pb-Pb collisions at 2.76 TeV
• Divergence-type 2+1 dissipative hydrodynamics applied to heavy-ion collisions
• Constraining relativistic viscous hydrodynamical evolution
• Anisotropic hydrodynamics for conformal Gubser flow
• Coupled kinetic equations for quarks and gluons in the relaxation time approximation
• Quasiparticle second-order viscous hydrodynamics from kinetic theory
• Thermalization and the chromo-Weibel instability
• Highly anisotropic hydrodynamics -- discussion of the model assumptions and forms of the initial conditions
• Exact solution of the (0+1)-dimensional Boltzmann equation for massive Bose-Einstein and Fermi-Dirac gases
• Quark self-energy in an ellipsoidally anisotropic quark-gluon plasma
• Recent progress in anisotropic hydrodynamics

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• 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