Complete relativistic second-order dissipative hydrodynamics from the entropy principle

Abstract

We present a new derivation of relativistic dissipative hydrodynamic equations, which invokes the second law of thermodynamics for the entropy four-current expressed in terms of the single-particle phase-space distribution function obtained from Grad's 14-moment approximation. This derivation is complete in the sense that all the second-order transport coefficients are uniquely determined within a single theoretical framework. In particular, this removes the long-standing ambiguity in the relaxation time for bulk viscosity thereby eliminating one of the uncertainties in the extraction of the shear viscosity to entropy density ratio from confrontation with the anisotropic flow data in relativistic heavy-ion collisions. We find that in the one-dimensional scaling expansion, these transport coefficients prevent the occurrence of cavitation even for rather large values of the bulk viscosity estimated in lattice QCD.

5 pages, 2 figures, version to appear in PRC (Rapid Comm)

References in corpus (12)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Viscosity Information from Relativistic Nuclear Collisions: How Perfect is the Fluid Observed at RHIC?
• Relativistic viscous hydrodynamics, conformal invariance, and holography
• Equation of state and QCD transition at finite temperature
• A calculation of the bulk viscosity in SU(3) gluodynamics
• Dissipative Hydrodynamics and Heavy Ion Collisions
• Dissipative relativistic fluid dynamics: a new way to derive the equations of motion from kinetic theory
• Resolving the HBT Puzzle in Relativistic Heavy Ion Collision
• Origins of Bulk Viscosity at RHIC
• Instability of Boost-invariant hydrodynamics with a QCD inspired bulk viscosity
• Stress Tensor and Bulk Viscosity in Relativistic Nuclear Collisions
• Thermal photons in QGP and non-ideal effects

Cited by in corpus (42)

• Transport Coefficients of Bulk Viscous Pressure in the 14-moment approximation
• Relativistic dissipative hydrodynamics from kinetic theory with relaxation time approximation
• Transport coefficients for bulk viscous evolution in the relaxation time approximation
• On the relative importance of second-order terms in relativistic dissipative fluid dynamics
• Relativistic third-order viscous corrections to the entropy four-current from kinetic theory
• Relativistic quantum transport coefficients for second-order viscous hydrodynamics
• Relativistic second-order spin hydrodynamics: an entropy-current analysis
• Relativistic viscous hydrodynamics for heavy-ion collisions: A comparison between the Chapman-Enskog and Grad methods
• General-relativistic hydrodynamics of non-perfect fluids: 3+1 conservative formulation and application to viscous black-hole accretion
• Quasiparticle second-order viscous hydrodynamics from kinetic theory
• Relativistic Lattice Boltzmann Methods: Theory and Applications
• On higher order and anisotropic hydrodynamics for Bjorken and Gubser flows
• Extended relaxation time approximation and relativistic dissipative hydrodynamics
• A covariant action principle for dissipative fluid dynamics: From formalism to fundamental physics
• Onset of cavitation in the quark-gluon plasma
• High-order quadrature-based lattice Boltzmann models for the flow of ultrarelativistic rarefied gases
• Particle production in relativistic heavy-ion collisions: A consistent hydrodynamic approach
• Dynamics of QCD Matter -- current status
• Kinetic approach to relativistic dissipation
• Charge diffusion in relativistic resistive second-order dissipative magnetohydrodynamics
• Relaxation-time approximation and relativistic third-order viscous hydrodynamics from kinetic theory
• Dissipative hydrodynamics of relativistic shock waves in a Quark Gluon Plasma: comparing and benchmarking alternate numerical methods
• Correspondence between Israel-Stewart and first-order casual and stable hydrodynamics for the boost-invariant massive case with zero baryon density
• Fluctuations in Relativistic Causal Hydrodynamics
• Relaxation time approximation with pair production and annihilation processes
• Relativistic dissipation obeys Chapman-Enskog asymptotics: analytical and numerical evidence as a basis for accurate kinetic simulations
• First order dissipative hydrodynamics and viscous corrections to the entropy four-current from an effective covariant kinetic theory
• Causal Relativistic Hydrodynamics of Conformal Fermi-Dirac Gases
• Second order relativistic viscous hydrodynamics within an effective description of hot QCD medium
• Phenomenological Relativistic Second-Order Hydrodynamics for Multiflavor Fluids
• Anisotropic Flow and Jet Quenching in Relativistic Nuclear Collisions
• Metric anisotropies and emergent anisotropic hydrodynamics
• Steady asymptotic equilibria in conformal relativistic fluids
• Correspondence between Israel-Stewart and first-order causal and stable hydrodynamics for Bjorken-expanding baryon-rich systems with vanishing particle masses
• Probing bulk viscosity in relativistic flows
• Second-order spin hydrodynamics from Zubarev's nonequilibrium statistical operator formalism
• Thermal dilepton production within conformal viscous Gubser flow
• Causal hydrodynamic fluctuations in a one-dimensional expanding system
• Non-conformal evolution of magnetic fields during reheating
• Dissipative type theories for Bjorken and Gubser flows
• Formulation of relativistic dissipative fluid dynamics and its applications in heavy-ion collisions
• Relativistic second-order dissipative hydrodynamics from Zubarev's non-equilibrium statistical operator