Relativistic Viscous Fluid Dynamics and Non-Equilibrium Entropy

Abstract

Fluid dynamics corresponds to the dynamics of a substance in the long wavelength limit. Writing down all terms in a gradient (long wavelength) expansion up to second order for a relativistic system at vanishing charge density, one obtains the most general (causal) equations of motion for a fluid in the presence of shear and bulk viscosity, as well as the structure of the non-equilibrium entropy current. Requiring positivity of the divergence of the non-equilibrium entropy current relates some of its coefficients to those entering the equations of motion. I comment on possible applications of these results for conformal and non-conformal fluids.

25 pages, no figures; v2: matches published version

References in corpus (17)

• Nonlinear Fluid Dynamics from Gravity
• Viscosity Information from Relativistic Nuclear Collisions: How Perfect is the Fluid Observed at RHIC?
• Relativistic viscous hydrodynamics, conformal invariance, and holography
• Bulk viscosity of gauge theory plasma at strong coupling
• Local Fluid Dynamical Entropy from Gravity
• Causality of Holographic Hydrodynamics
• Entropy Current in Conformal Hydrodynamics
• Universal hydrodynamics of non-conformal branes
• Second order hydrodynamic coefficients from kinetic theory
• Measurement of the Entropy and Critical Temperature of a Strongly Interacting Fermi Gas
• Spectral sum rules for the quark-gluon plasma
• Relativistic Dissipative Hydrodynamics: A Minimal Causal Theory
• Dynamical black holes and expanding plasmas
• Dissipative effects from transport and viscous hydrodynamics
• Relaxation time of a CFT plasma at finite coupling
• Second order hydrodynamics of a CFT plasma from boost invariant expansion
• Improved Hydrodynamics from the AdS/CFT

Cited by in corpus (144)

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• Constructing higher-order hydrodynamics: The third order
• Relativistic (Lattice) Boltzmann Equation with Non-Ideal Equation of State
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• Turbulent flows for relativistic conformal fluids in 2+1 dimensions
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• Effective Action for Relativistic Hydrodynamics: Fluctuations, Dissipation, and Entropy Inflow
• Non-dissipative hydrodynamics: Effective actions versus entropy current
• Holographic Collisions across a Phase Transition
• Quantum corrections to the stress-energy tensor in thermodynamic equilibrium with acceleration
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• Relativistic Fluid Dynamics In and Out of Equilibrium -- Ten Years of Progress in Theory and Numerical Simulations of Nuclear Collisions
• Hydrodynamics at RHIC and LHC: What have we learned?
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• Nonequilibrium Thermodynamical Inequivalence of Quantum Stress-energy and Spin Tensors
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• A covariant action principle for dissipative fluid dynamics: From formalism to fundamental physics
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• A consistent first-order model for relativistic heat flow
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• Thermodynamic equilibrium of massless fermions with vorticity, chirality and electromagnetic field
• The effective theory of fluids at NLO and implications for dark energy
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• Hydrodynamic manifestations of gravitational chiral anomaly
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