Introduction to Hydrodynamics

Abstract

We give a pedagogical review of relativistic hydrodynamics relevant to relativistic heavy ion collisions. Topics discussed include linear response theory derivation of 2nd order viscous hydrodynamics including the Kubo formulas, kinetic theory derivation of 2nd order viscous hydrodynamics, anisotropic hydrodynamics and a brief review of numerical algorithms. Emphasis is given to the theory of hydrodynamics rather than phenomenology.

Typos are corrected and some references are added. To be included in QGP 5 edited by Xin-Nian Wang

References in corpus (20)

• Viscosity Information from Relativistic Nuclear Collisions: How Perfect is the Fluid Observed at RHIC?
• Observation of long-range near-side angular correlations in proton-lead collisions at the LHC
• 200 A GeV Au+Au collisions serve a nearly perfect quark-gluon liquid
• A calculation of the bulk viscosity in SU(3) gluodynamics
• Dissipative Dynamics of Highly Anisotropic Systems
• Highly-anisotropic and strongly-dissipative hydrodynamics for early stages of relativistic heavy-ion collisions
• Multiplicity scaling in ideal and viscous hydrodynamics
• Bulk viscosity of gauge theory plasma at strong coupling
• Triangular flow in event-by-event ideal hydrodynamics in Au+Au collisions at $\sqrt{s_{\mathrm{NN}}}=200A$ GeV
• Transport Coefficients of Bulk Viscous Pressure in the 14-moment approximation
• A new exact solution of the relativistic Boltzmann equation and its hydrodynamic limit
• Studying the validity of relativistic hydrodynamics with a new exact solution of the Boltzmann equation
• Thermally Fluctuating Second-Order Viscous Hydrodynamics and Heavy-Ion Collisions
• Shear-bulk coupling in nonconformal hydrodynamics
• Leading-order anisotropic hydrodynamics for systems with massive particles
• Kaon and pion femtoscopy at the highest energies available at the BNL Relativistic Heavy Ion Collider (RHIC) in a hydrokinetic model
• Signatures of collective behavior in small systems
• Systematic Investigation of Negative Cooper-Frye Contributions in Heavy Ion Collisions Using Coarse-grained Molecular Dynamics
• Bulk spectral functions in single and multi-scalar gravity duals
• Dynamical modeling of high energy heavy ion collisions

Cited by in corpus (7)

• Heavy-ion collisions at the Large Hadron Collider: a review of the results from Run 1
• Anisotropic hydrodynamics for conformal Gubser flow
• Bulk viscosity in a plasma of Gribov-Zwanziger gluons
• The non-equilibrium attractor: Beyond hydrodynamics
• Holographic drag force in non-conformal plasma
• Pion transverse-momentum spectrum, elliptic flow, and Hanbury-Brown-Twiss interferometry in a viscous granular source model
• The Rayleigh Bubble in Quark Matter under a Strong Magnetic Field