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Theories of Relativistic Dissipative Fluid Dynamics
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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.
Forward citations
Cited by 14 Pith papers
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Nonlinear Causality and Strong Hyperbolicity of Einstein-Israel-Stewart Theories of Transient Relativistic Fluid Dynamics
Necessary and sufficient algebraic inequalities fully characterize nonlinear causality of general Israel-Stewart bulk-plus-shear theories, with sufficient conditions for strong hyperbolicity and constraint propagation...
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Effective action for relativistic hydrodynamics from Crooks fluctuation theorem
A new path-integral framework for relativistic fluctuating hydrodynamics uses a covariant Crooks fluctuation theorem to impose KMS symmetry and derive fluctuation-dissipation relations, with criteria for causality and...
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Dispersion relations of relativistic radiation hydrodynamics
The paper derives analytic formulas for the damping and propagation of shear, heat, and sound waves in relativistic matter-plus-grey-radiation fluids, including a new sound-wave formula.
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Perturbations of relativistic dissipative stars
Linearized perturbations of relativistic stars with BDNK viscosity reduce to two coupled wave equations in the axial sector and five coupled wave equations plus a constraint in the polar sector, including a new viscous mode.
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Gaussian non relativistic spontaneously stochastic hydrodynamics
The paper proposes that non-relativistic incompressible hydrodynamics is the infrared limit of a Gaussian stochastic theory, with compressible-scale counterterms generating spontaneous stochasticity and anomalous dissipation.
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Vector-Meson Spin Alignment from Anisotropic Quark or Hadron Coalescence
Anisotropic quark or hadron coalescence in heavy-ion collisions generates vector-meson spin alignment whose sign distinguishes bare-vector from spin-orbit-coupled production vertices.
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The diffusion equation is compatible with special relativity
A relativistic kinetic theory (Vlasov–Fokker–Planck) has an exact subsector whose particle density evolves by Fick's law at all wavelengths, reconciling diffusion with causality and stability.
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Is the shear induced spin polarization non-dissipative?
Shear-induced spin polarization leaves the momentum-integrated entropy production rate unchanged in chiral kinetic theory, but Zubarev's linear response suggests a dissipative origin.
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Mapping Sparse Triangular Solves to GPUs via Fine-grained Domain Decomposition
A domain-decomposition scheme sizes subdomains to GPU shared memory to remove synchronization from sparse triangular solves, reporting 10.7x and 3.2x speedups for triangular solves and ILU0-BiCGSTAB on the AMD MI210.
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Causality of polarizeable dissipative fluids from Lagrangian hydrodynamics
In a Lagrangian model of polarized dissipative fluids, causality couples the spin, shear, and bulk relaxation times through inequalities that can make polarization mask viscosity.
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Thermal dilepton production within conformal viscous Gubser flow
Thermal dilepton yields and effective temperatures are computed for conformal viscous Gubser flow, showing larger yields for lower q (larger systems) and higher effective temperatures for smaller systems.
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Quasiparticle second-order dissipative hydrodynamics at finite chemical potential
A quasiparticle kinetic theory with a bag term yields second-order equations of relativistic dissipative hydrodynamics with baryon diffusion and chemical-potential-dependent transport coefficients.
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On the Wiedemann-Franz law violation in Graphene and quark-gluon plasma systems
A covariant Boltzmann equation with one relaxation time yields L/L0 = (3/pi^2)(h/(k_BT))^2 for both graphene and QGP, so the Wiedemann-Franz law fails as the net carrier density approaches zero.
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An introduction to relativistic spin hydrodynamics
A review that derives the constitutive equations of relativistic spin hydrodynamics from thermodynamics and surveys challenges like pseudo-gauge ambiguity and spin freeze-out.
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