Second Order Dissipative Fluid Dynamics for Ultra-Relativistic Nuclear Collisions

Abstract

The Müller-Israel-Stewart second order theory of relativistic imperfect fluids based on Grad's moment method is used to study the expansion of hot matter produced in ultra-relativistic heavy ion collisions. The temperature evolution is investigated in the framework of the Bjorken boost-invariant scaling limit. The results of these second-order theories are compared to those of first-order theories due to Eckart and to Landau and Lifshitz and those of zeroth order (perfect fluid) due to Euler.

5 pages, 4 figures, size of y-axis tick marks for Figs. 3 and 4 fixed

References in corpus (1)

• Entropy Production in Relativistic Hydrodynamics

Cited by in corpus (176)

• Conformal Relativistic Viscous Hydrodynamics: Applications to RHIC results at sqrt(s_NN) = 200 GeV
• Relativistic viscous hydrodynamics, conformal invariance, and holography
• Elliptic and triangular flow in event-by-event (3+1)D viscous hydrodynamics
• Hydrodynamic Modeling of Heavy-Ion Collisions
• 3+1D hydrodynamic simulation of relativistic heavy-ion collisions
• New Developments in Relativistic Viscous Hydrodynamics
• Causal viscous hydrodynamics in 2+1 dimensions for relativistic heavy-ion collisions
• Thermalization of gluons in ultrarelativistic heavy ion collisions by including three-body interactions in a parton cascade
• Suppression of elliptic flow in a minimally viscous quark-gluon plasma
• Relativistic Fluid Dynamics: Physics for Many Different Scales
• New theories of relativistic hydrodynamics in the LHC era
• Properties of hot and dense matter from relativistic heavy ion collisions
• Dissipative Dynamics of Highly Anisotropic Systems
• Causal Theories of Dissipative Relativistic Fluid Dynamics for Nuclear Collisions
• Perfect Fluidity of the Quark Gluon Plasma Core as Seen through its Dissipative Hadronic Corona
• Wilson loops in heavy ion collisions and their calculation in AdS/CFT
• Higher flow harmonics from (3+1)D event-by-event viscous hydrodynamics
• Multiplicity scaling in ideal and viscous hydrodynamics
• Dissipative Hydrodynamics and Heavy Ion Collisions
• Fluid Dynamics far from Local Equilibrium
• Anisotropic flow in sqrt(s)=2.76 TeV Pb+Pb collisions at the LHC
• Bulk and shear viscosities of matter created in relativistic heavy-ion collisions
• Dissipative hydrodynamics for viscous relativistic fluids
• Does stability of relativistic dissipative fluid dynamics imply causality?
• Testing viscous and anisotropic hydrodynamics in an exactly solvable case
• Estimation of the shear viscosity at finite net-baryon density from A+A collision data at $\sqrt{s_{\mathrm{NN}}}=7.7-200$ GeV
• Entropy Current in Conformal Hydrodynamics
• THERMINATOR 2: THERMal heavy IoN generATOR 2
• Boost-Invariant (2+1)-dimensional Anisotropic Hydrodynamics
• Transport coefficients, spectral functions and the lattice
• The eccentricity in heavy-ion collisions from Color Glass Condensate initial conditions
• Hydrodynamic Approaches in Relativistic Heavy Ion Reactions
• 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
• Determining Fundamental Properties of Matter Created in Ultrarelativistic Heavy-Ion Collisions
• Second-order (2+1)-dimensional anisotropic hydrodynamics
• Stability and Causality in relativistic dissipative hydrodynamics
• Interplay of shear and bulk viscosity in generating flow in heavy-ion collisions
• 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
• Origins of Bulk Viscosity at RHIC
• Direct Photons from Relativistic Heavy-Ion Collisions
• 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
• Relativistic anisotropic hydrodynamics
• Quarkonium states in a complex-valued potential
• Relativistic Dissipative Hydrodynamics: A Minimal Causal Theory
• Bulk Viscosity and Cavitation in Boost-Invariant Hydrodynamic Expansion
• Viscous photons in relativistic heavy ion collisions
• Nonextensive hydrodynamics for relativistic heavy-ion collisions
• Hydrodynamics Near a Chiral Critical Point
• 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
• Relativistic fluid dynamics: physics for many different scales
• Chemical Equilibration in Hadronic Collisions
• Causal Viscous Hydrodynamics for Central Heavy-Ion Collisions II: Meson Spectra and HBT Radii
• Chemical Equilibration in Weakly Coupled QCD
• 3+1d quasiparticle anisotropic hydrodynamics for ultrarelativistic heavy-ion collisions
• Bulk viscous evolution within anisotropic hydrodynamics
• Exploring QCD matter in extreme conditions with Machine Learning
• From kinetic theory to dissipative fluid dynamics
• Projection method and new formulation of leading-order anisotropic hydrodynamics
• Dissipative effects from transport and viscous hydrodynamics
• Early collective expansion: Relativistic hydrodynamics and the transport properties of QCD matter
• A fully relativistic lattice Boltzmann algorithm
• Causal Diffusion and the Survival of Charge Fluctuations in Nuclear Collisions
• Thermalization and isotropization in heavy-ion collisions
• Shear-bulk coupling in nonconformal hydrodynamics
• A consistent description of kinetic equation with triangle anomaly
• Exact solutions and attractors of higher-order viscous fluid dynamics for Bjorken flow
• Fluid Dynamics and Viscosity in Strongly Correlated Fluids
• Relativistic Fluid Dynamics In and Out of Equilibrium -- Ten Years of Progress in Theory and Numerical Simulations of Nuclear Collisions
• Numerical tests of causal relativistic dissipative fluid dynamics
• Anisotropic hydrodynamics for conformal Gubser flow
• Anisotropic hydrodynamic modeling of 2.76 TeV Pb-Pb collisions
• Hydrodynamic attractor and the fate of perturbative expansions in Gubser flow
• Quasiparticle equation of state for anisotropic hydrodynamics
• Dissipative hydrodynamics in 2+1 dimension
• Hydrodynamics and Flow
• Entropy production in high-energy heavy-ion collisions and the correlation of shear viscosity and thermalization time
• Rapid hydrodynamic expansion in relativistic heavy-ion collisions
• Leading-order anisotropic hydrodynamics for central collisions
• Leading-order anisotropic hydrodynamics for systems with massive particles
• Anisotropic matching principle for the hydrodynamics expansion
• Relativistic Dissipative Hydrodynamic Equations at the Second Order for Multi-Component Systems with Multiple Conserved Currents
• Stress Tensor and Bulk Viscosity in Relativistic Nuclear Collisions
• Anisotropic fluid dynamics for Gubser flow
• Space-time evolution and HBT analysis of relativistic heavy ion collisions in a chiral SU(3) x SU(3) model
• On non-conformal kinetic theory and hydrodynamics for Bjorken flow
• A systematic comparison of jet quenching in different fluid-dynamical models
• Hydrodynamics from free-streaming to thermalization and back again
• Quasiparticle anisotropic hydrodynamics for central collisions
• Anisotropic hydrodynamic modeling of 200 GeV Au-Au collisions
• Microscopic formula for transport coefficients of causal hydrodynamics
• Thermal photons in QGP and non-ideal effects
• Evolution to the Quark-Gluon Plasma
• Wounded nucleon model with realistic nucleon-nucleon collision profile and observables in relativistic heavy-ion collisions
• Shear viscosity, cavitation and hydrodynamics at LHC
• Viscous evolution of the rapidity distribution of matter created in relativistic heavy-ion collisions
• Microscopic Derivation of Causal Diffusion Equation using Projection Operator Method
• Causal Viscous Hydrodynamics for Relativistic Heavy Ion Collisions
• Hydrodynamic models
• Fluid dynamic propagation of initial baryon number perturbations on a Bjorken flow background
• Shock propagation and stability in causal dissipative hydrodynamics
• Chemical freeze-out in relativistic heavy-ion collisions
• Relativistic dissipative hydrodynamics with spontaneous symmetry breaking
• Fluid/gravity correspondence: Second order transport coefficients in compactified D4-branes
• Cavitation and thermal dilepton production in QGP
• Testing different formulations of leading-order anisotropic hydrodynamics
• Hydrodynamic Modeling and the QGP Shear Viscosity
• Is first-order relativistic hydrodynamics in general frame stable and causal for arbitrary interaction?
• Viscous Hydrodynamics and Relativistic Heavy Ion Collisions
• Charmonium suppression in the presence of dissipative forces in a strongly coupled quark-gluon plasma
• Extensivity of Irreversible Current and Stability in Causal Dissipative Hydrodynamics
• Momentum transport properties of a hot and dense QCD matter in a weak magnetic field
• Momentum and its affiliated transport coefficients for a hot QCD matter in a strong magnetic field
• Phenomenology of the little bang
• Transverse flow in relativistic viscous hydrodynamics
• Non-boost-invariant dissipative hydrodynamics
• Modification of Eckart theory of relativistic dissipative fluid by introducing extended matching conditions
• Some Aspects of the Theory of Heavy Ion Collisions
• Flow in heavy-ion collisions - Theory Perspective
• Thermomagnetic properties and Bjorken expansion of hot QCD matter in a strong magnetic field
• Transport coefficients of second-order relativistic fluid dynamics in the relaxation-time approximation
• Relativistic hydrodynamics with momentum dependent relaxation time
• Impact of vorticity and viscosity on the hydrodynamic evolution of hot QCD medium
• Rapidity Correlation Structure in Nuclear Collisions
• Landau and Eckart frames for relativistic fluids in nuclear collisions
• (3+1)-dimensional framework for leading-order non conformal anisotropic hydrodynamics
• A thermodynamic approach to the relaxation of viscosity and thermal conductivity
• Thermal conductivity of evolving quark-gluon plasma in the presence of a time-varying magnetic field
• Quark self-energy in an ellipsoidally anisotropic quark-gluon plasma
• Dissipation at Two-Loop Level: Undressing the Chiral Condensate
• Aspects of causal viscous hydrodynamics
• Interferometry radii in heavy-ion collisions at 200GeV and 2.76TeV
• Including off-diagonal anisotropies in anisotropic hydrodynamics
• Photon emission from out of equilibrium dissipative parton plasma
• Comparing the first and second order theories of relativistic dissipative fluid dynamics using the 1+1 dimensional relativistic flux corrected transport algorithm
• An improved anisotropic hydrodynamics ansatz
• Knudsen number, ideal hydrodynamic limit for elliptic flow and QGP viscosity in $\sqrt{s}$=62 and 200 GeV Cu+Cu/Au+Au collisions
• Causality and stability analysis of first-order field redefinition in relativistic hydrodynamics from kinetic theory
• Second order causal hydrodynamics in Eckart frame: using gradient expansion scheme
• Consistent Implementation of Finite-Range Terms into Hydrodynamics
• Parton radiative processes and pressure isotropization in relativistic heavy ion collisions
• Initial conditions of bulk matter in ultrarelativistic nuclear collisions
• Nonlinear waves in a hot, viscous and nonextensive quark gluon plasma
• Heavy Ions at LHC: A Quest for Quark-Gluon Plasma
• Third order viscous hydrodynamics from the entropy four current
• Two-pion interferometry for viscous hydrodynamic sources
• Second order hydrodynamics based on effective kinetic theory and electromagnetic signals from QGP
• A molecular dynamics approach to dissipative relativistic hydrodynamics: propagation of fluctuations
• Chemical and kinetic equilibrations via radiative parton transport
• Relativistic dissipative hydrodynamics with extended matching conditions for ultra-relativistic heavy-ion collisions
• Bottomonia in the Quark Gluon Plasma
• Relativistic fluid dynamics in heavy ion collisions
• Relativistic second order dissipative hydrodynamics from effective fugacity quasi particle model
• Cavitation effects on the confinement/deconfinement transition
• Thermal dilepton production within conformal viscous Gubser flow
• New Formulation of Causal Dissipative Hydrodynamics: Shock wave propagation
• Role of slow, out-of-equilibrium modes on the dynamic structure factor near the QCD critical point
• Quark matter with an anisotropic momentum distribution
• Effects of bulk viscosity on hadron spectra and Hanbury-Brown Twiss radius by the causal viscous hydrodynamics
• Measuring the Rate of Isotropization of Quark-Gluon Plasma Using Rapidity Correlations
• Kinetic equilibration from a radiative transport
• Relativistic Heavy Ion Collisions: Viscous Hydrodynamic Simulations and Final State Interactions
• Some Comments on Relativistic Hydrodynamics and Fuzzy Bags
• The chromo-Weibel instability in an expanding background
• Stability of 1+1 dimensional causal relativistic viscous hydrodynamics
• Linear Stability of Shock Waves in Ultrarelativistic Anisotropic Hydrodynamics
• Early dissipation and viscosity
• Relativistic Viscous Hydrodynamics for High Energy Heavy Ion Collisions
• Applicability of Hydrodynamics in Hadronic Phase of Heavy-Ion Collisions