Dissipative Hydrodynamics and Heavy Ion Collisions
arXiv:hep-ph/0602249 · doi:10.1103/PhysRevC.73.064903
Abstract
Recent discussions of RHIC data emphasized the exciting possibility that the matter produced in nucleus-nucleus collisions shows properties of a near-perfect fluid. Here, we aim at delineating the applicability of fluid dynamics, which is needed to quantify the size of corresponding dissipative effects. We start from the equations for dissipative fluid dynamics, which we derive from kinetic theory up to second order (Israel-Stewart theory) in a systematic gradient expansion. In model studies, we then establish that for too early initialization of the hydrodynamic evolution ($τ_0 \lsim 1$ fm/c) or for too high transverse momentum ($p_T \gsim 1$ GeV) in the final state, the expected dissipative corrections are too large for a fluid description to be reliable. Moreover, viscosity-induced modifications of hadronic transverse momentum spectra can be accommodated to a significant degree in an ideal fluid description by modifications of the decoupling stage. We argue that these conclusions, drawn from model studies, can also be expected to arise in significantly more complex, realistic fluid dynamics simulations of heavy ion collisions.
18 pages, 5 figures, uses revtex4; v2: references added, typos corrected
References in corpus (41)
- Experimental and Theoretical Challenges in the Search for the Quark Gluon Plasma: The STAR Collaboration's Critical Assessment of the Evidence from RHIC Collisions
- Formation of dense partonic matter in relativistic nucleus-nucleus collisions at RHIC: Experimental evaluation by the PHENIX collaboration
- Quark Gluon Plasma an Color Glass Condensate at RHIC? The perspective from the BRAHMS experiment
- The PHOBOS Perspective on Discoveries at RHIC
- Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma
- New Forms of QCD Matter Discovered at RHIC
- Thermal phenomenology of hadrons from 200 AGeV S+S collisions
- Radial and elliptic flow at RHIC: further predictions
- Identified Charged Particle Spectra and Yields in Au+Au Collisions at sqrt(s_NN) = 200 GeV
- Flow at the SPS and RHIC as a Quark Gluon Plasma Signature
- What RHIC Experiments and Theory tell us about Properties of Quark-Gluon Plasma ?
- 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
- Transport coefficients in high temperature gauge theories: (II) Beyond leading log
- Transport coefficients in high temperature gauge theories: (I) Leading-log results
- Collective flow and two-pion correlations from a relativistic hydrodynamic model with early chemical freeze out
- 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
- Saturation of Elliptic Flow and the Transport Opacity of the Gluon Plasma at RHIC
- Causal Theories of Dissipative Relativistic Fluid Dynamics for Nuclear Collisions
- Centrality dependence of multiplicity, transverse energy, and elliptic flow from hydrodynamics
- Second Order Dissipative Fluid Dynamics for Ultra-Relativistic Nuclear Collisions
- Collective non-Abelian instabilities in a melting Color Glass Condensate
- Transverse flow and hadro-chemistry in Au+Au collisions at \sqrt{s_{NN}}=200 GeV
- Nuclear Stopping in Au+Au Collisions at sqrt(sNN) = 200 GeV
- Apparent Thermalization due to Plasma Instabilities in Quark-Gluon Plasma
- Hard-Loop Dynamics of Non-Abelian Plasma Instabilities
- Elliptic flow and incomplete equilibration at RHIC
- Flow Measurements via Two-particle Azimuthal Correlations in Au + Au Collisions at sqrt(s_NN) = 130 GeV
- Thermalization at RHIC
- Viscosities of Quark-Gluon Plasmas
- Color filamentation in ultrarelativistic heavy-ion collisions
- QCD Plasma Instabilities and Isotropization
- Centrality Dependent Particle Production at and in Au+Au Collisions at sqrt(sNN)=200GeV
- Does parton saturation at high density explain hadron multiplicities at RHIC ?
- Directed flow in Au+Au collisions at =62.4 GeV
- Fluid Dynamics for Relativistic Nuclear Collisions
- Thermal Equilibration in an Expanding Parton Plasma
- Hydrodynamics with spontaneous symmetry breaking: application to relativistic heavy ion collisions
- Identified particles in Au+Au collisions at sqrt{s_NN} = 200 GeV
Cited by in corpus (174)
- Viscosity Information from Relativistic Nuclear Collisions: How Perfect is the Fluid Observed at RHIC?
- Conformal Relativistic Viscous Hydrodynamics: Applications to RHIC results at sqrt(s_NN) = 200 GeV
- Relativistic viscous hydrodynamics, conformal invariance, and holography
- New Developments in Relativistic Viscous Hydrodynamics
- Causal viscous hydrodynamics in 2+1 dimensions for relativistic heavy-ion collisions
- Simulating elliptic flow with viscous hydrodynamics
- Suppression of elliptic flow in a minimally viscous quark-gluon plasma
- New theories of relativistic hydrodynamics in the LHC era
- Wilson loops in heavy ion collisions and their calculation in AdS/CFT
- Isotropization and hydrodynamization in weakly coupled heavy-ion collisions
- Multiplicity scaling in ideal and viscous hydrodynamics
- Parton-Hadron-String Dynamics at Relativistic Collider Energies
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- Testing viscous and anisotropic hydrodynamics in an exactly solvable case
- Viscous QCD matter in a hybrid hydrodynamic+Boltzmann approach
- THERMINATOR 2: THERMal heavy IoN generATOR 2
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- The eccentricity in heavy-ion collisions from Color Glass Condensate initial conditions
- Anisotropic Hydrodynamics for Rapidly Expanding Systems
- Systematic parameter study of hadron spectra and elliptic flow from viscous hydrodynamic simulations of Au+Au collisions at sqrt(s_NN) = 200 GeV
- Viscous Hydrodynamic Predictions for Nuclear Collisions at the LHC
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- Interplay of shear and bulk viscosity in generating flow in heavy-ion collisions
- Viscous hydrodynamics relaxation time from AdS/CFT
- Quarkonia in the Quark Gluon Plasma
- The applicability of causal dissipative hydrodynamics to relativistic heavy ion collisions
- Local thermodynamical equilibrium and the beta frame for a quantum relativistic fluid
- Relativistic viscous hydrodynamics for heavy-ion collisions with ECHO-QGP
- Causal Viscous Hydrodynamics for Central Heavy-Ion Collisions
- Mass ordering of differential elliptic flow and its violation for phi mesons
- Shear and bulk viscosities of the gluon plasma in a quasiparticle description
- Momentum Broadening in an Anisotropic Plasma
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- Plasma Instabilities in an Anisotropically Expanding Geometry
- Relativistic Dissipative Hydrodynamics: A Minimal Causal Theory
- Relativistic Dynamics of Non-ideal Fluids: Viscous and heat-conducting fluids I. General Aspects and 3+1 Formulation for Nuclear Collisions
- Bulk Viscosity and Cavitation in Boost-Invariant Hydrodynamic Expansion
- Nonextensive hydrodynamics for relativistic heavy-ion collisions
- Instabilities of an anisotropically expanding non-Abelian plasma: 3D+3V discretized hard-loop simulations
- Exact solution of the (0+1)-dimensional Boltzmann equation for a massive gas
- Causal Viscous Hydrodynamics for Central Heavy-Ion Collisions II: Meson Spectra and HBT Radii
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- Projection method and new formulation of leading-order anisotropic hydrodynamics
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- Early collective expansion: Relativistic hydrodynamics and the transport properties of QCD matter
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- Relativistic Fluid Dynamics In and Out of Equilibrium -- Ten Years of Progress in Theory and Numerical Simulations of Nuclear Collisions
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- Leading-order anisotropic hydrodynamics for systems with massive particles
- Anisotropic matching principle for the hydrodynamics expansion
- Freezing Out Fluctuations in Hydro+ Near the QCD Critical Point
- Gradient expansion for anisotropic hydrodynamics
- Stable First-order Particle-frame Relativistic Hydrodynamics for Dissipative Systems
- Stress Tensor and Bulk Viscosity in Relativistic Nuclear Collisions
- Photon Emission from a Momentum Anisotropic Quark-Gluon Plasma
- On non-conformal kinetic theory and hydrodynamics for Bjorken flow
- Hydrodynamics of anisotropic quark and gluon fluids
- Anisotropic fluid dynamics for Gubser flow
- Jet Wake from Linearized Hydrodynamics
- Quasiparticle second-order viscous hydrodynamics from kinetic theory
- Transport coefficients of the Gribov-Zwanziger plasma
- Femtoscopy in Relativistic Heavy Ion Collisions and its Relation to Bulk Properties of QCD Matter
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- New relativistic dissipative fluid dynamics from kinetic theory
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- Microscopic formula for transport coefficients of causal hydrodynamics
- Thermal photons in QGP and non-ideal effects
- Shear viscosity, cavitation and hydrodynamics at LHC
- Equilibration of anisotropic quark-gluon plasma produced by decays of color flux tubes
- Shear viscosity coefficient and relaxation time of causal dissipative hydrodynamics in QCD
- Viscous evolution of the rapidity distribution of matter created in relativistic heavy-ion collisions
- Causal Viscous Hydrodynamics for Relativistic Heavy Ion Collisions
- Hydrodynamic flow in heavy-ion collisions with large hadronic viscosity
- Relaxation time of non-conformal plasma
- Linking the hydrodynamic and kinetic description of a dissipative relativistic conformal theory
- Fluid dynamic propagation of initial baryon number perturbations on a Bjorken flow background
- Anisotropic Hydrodynamics: Motivation and Methodology
- Transport coefficients of two-flavor quark matter from the Kubo formalism
- Cavitation and thermal dilepton production in QGP
- Dynamics of QCD Matter -- current status
- Relativistic transport theory for simple fluids at first order in the gradients: a stable picture
- Testing different formulations of leading-order anisotropic hydrodynamics
- Viscous hydrodynamics with bulk viscosity -- uncertainties from relaxation time and initial conditions
- Viscous Hydrodynamics and Relativistic Heavy Ion Collisions
- Formulating Viscous Hydrodynamics for Large Velocity Gradients
- Charmonium suppression in the presence of dissipative forces in a strongly coupled quark-gluon plasma
- Predictions for the LHC heavy ion programme
- Separation of elastic and inelastic processes in the relaxation time approximation for collision integral
- Relativistic Causal Hydrodynamics Derived from Boltzmann Equation: a novel reduction theoretical approach
- Elliptic Flow in Pb+Pb Collisions at = 2.76 TeV at the LHC Using Boltzmann Transport Equation with Non-extensive Statistics
- Hybrid model calculations of direct photons in high-energy nuclear collisions
- Conformal Bjorken flow in the general frame and its attractor: Similarities and discrepancies with the Müller-Israel-Stewart formalism
- Chromoelectric oscillations in a dynamically evolving anisotropic background
- Thermomagnetic properties and Bjorken expansion of hot QCD matter in a strong magnetic field
- Matching of nonthermal initial conditions and hydrodynamic stage in ultrarelativistic heavy-ion collisions
- Derivation of second-order relativistic hydrodynamics for reactive multi-component systems
- (3+1)-dimensional framework for leading-order non conformal anisotropic hydrodynamics
- Dilepton production in a schematic causal viscous hydrodynamics
- Characteristic form of boost-invariant and cylindrically non-symmetric hydrodynamic equations
- Relativistic Hydrodynamics on Graphic Cards
- A thermodynamic approach to the relaxation of viscosity and thermal conductivity
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- Relativistic dissipation obeys Chapman-Enskog asymptotics: analytical and numerical evidence as a basis for accurate kinetic simulations
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- Second order hydrodynamics based on effective kinetic theory and electromagnetic signals from QGP
- Relativistic second order dissipative hydrodynamics from effective fugacity quasi particle model
- Impacts of EMC effects on the D meson modification factor in equilibrating QGP
- Hydrodynamical attractor and thermal particle production in heavy-ion collision
- Heavy Ion Collision evolution modeling with ECHO-QGP
- Bottomonia in the Quark Gluon Plasma
- Pion transverse-momentum spectrum, elliptic flow, and Hanbury-Brown-Twiss interferometry in a viscous granular source model
- Opportunities for Heavy Ion Physics at the Large Hadron Collider LHC
- Causal hydrodynamic fluctuations in a one-dimensional expanding system
- Relativistic Heavy Ion Collisions: Viscous Hydrodynamic Simulations and Final State Interactions
- Parton Collectivity from RHIC to the LHC
- Effects of bulk viscosity on hadron spectra and Hanbury-Brown Twiss radius by the causal viscous hydrodynamics
- Linear Stability of Shock Waves in Ultrarelativistic Anisotropic Hydrodynamics
- Some Comments on Relativistic Hydrodynamics and Fuzzy Bags
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- Thermalization of parton spectra in the color-flux-tube model
- Equation of State and Transport Coefficients of Relativistic Nuclear Matter
- Temperature dependent sound velocity in hydrodynamic equations for relativistic heavy-ion collisions
- Calculations of direct photon emission in Heavy Ion Collisions at \sqrt{s_NN} = 200 GeV
- Extended applicability domain of viscous anisotropic hydrodynamics in (2+1)-D Bjorken flow with transverse expansion
- Relativistic Viscous Hydrodynamics for High Energy Heavy Ion Collisions