Theories of Relativistic Dissipative Fluid Dynamics

Abstract

Relativistic dissipative fluid dynamics finds widespread applications in high-energy nuclear physics and astrophysics. However, formulating a causal and stable theory of relativistic dissipative fluid dynamics is far from trivial; efforts to accomplish this reach back more than 50 years. In this review, we give an overview of the field and attempt a comparative assessment of (at least most of) the theories for relativistic dissipative fluid dynamics proposed until today and used in applications.

73 pages, no figures, invited review for journal "Entropy"

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Cited by in corpus (23)

• Progress and Challenges in Small Systems
• Recent developments in mathematical aspects of relativistic fluids
• Causality Bounds on Dissipative General-Relativistic Magnetohydrodynamics
• An introduction to relativistic spin hydrodynamics
• Gapless non-hydrodynamic modes in relativistic kinetic theory
• Relativistic Dissipative Magnetohydrodynamics from the Boltzmann equation for a two-component gas
• Modelling stochastic fluctuations in relativistic kinetic theory
• Infinite Order Hydrodynamics: An Analytical Example
• Transport coefficients of transient hydrodynamics for the hadron-resonance gas and thermal-mass quasiparticle models
• Transport Coefficients of relativistic matter: A detailed formalism with a gross knowledge of their magnitude
• Higher-level large-eddy filtering strategy for general relativistic fluid simulations
• Dispersion relations of relativistic radiation hydrodynamics
• Generalized relativistic second-order dissipative hydrodynamics: coupling different rank tensors
• Deformations of the AdS-Schwarzschild black brane and the shear viscosity of the quark-gluon plasma
• Radial Oscillations of Viscous Neutron Stars: Zero Diffusion Case
• Thermal dilepton production within conformal viscous Gubser flow
• Emergent Viscous Hydrodynamics From a Single Quantum Particle
• On the Wiedemann-Franz law violation in Graphene and quark-gluon plasma systems
• Gradient corrections to the local-equilibrium energy-momentum tensor in the Zubarev approach
• Nonlinear causality of Israel-Stewart theory with diffusion
• Acausality-driven instabilities in transient relativistic viscous hydrodynamics
• The diffusion equation is compatible with special relativity
• Viscous Gubser flow with conserved charges to benchmark fluid simulations