New Developments in Relativistic Viscous Hydrodynamics
By Paul Romatschke. 2009
451 citations recorded by the source corpus.
Starting with a brief introduction into the basics of relativistic fluid dynamics, I discuss our current knowledge of a relativistic theory of fluid dynamics in the presence of (mostly shear) viscosity. Derivations based on the generalized second law of thermodynamics, kinetic theory, and a complete second-order gradient expansion are reviewed. The resulting fluid dynamic equations are shown to be consistent for all these derivations, when properly accounting for the respective region of applicability, and can be applied to both weakly and strongly coupled systems. In its modern formulation, relativistic viscous hydrodynamics can directly be solved numerically. This has been useful for the problem of ultrarelativistic heavy-ion collisions, and I will review the setup and results of a hydrodynamic description of experimental data for this case.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/323cff1b23a3d00f593920deceeb0c96e2f39945
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Citations in the corpus
- Causality of holographic hydrodynamics (2009, background): “Again, we note (1)In fact, this is a general result which extends to nonconformal fluids as well [8].”
- Transport properties of the quark-gluon plasma (2011, background): “The most general constitutive equation for T μν has been worked out to second order in gradients of the velocity fields for a conformal theory [59], and more recently even in the non-conformal case [47].”
- Holographic GB gravity in arbitrary dimensions (2009, background): “, λGB = 0) — compare to figure 1 of [35].”
- Jet quenching in high-energy heavy-ion collisions (2015, background): “) model,98 the medium modied fragmentation function is given by D~ q!h(z h;Q 2) = D q!h(z h;Q 2) + s 2ˇ Z Q2 0 dl2 ? l2 ? Z 1 z h dz z h q!qg(z;l 2 ? )D q!h( z h z ) + q!gq(z;l 2 )D g!h( z h z ) i ; (21) where zand l ?are the momentum fraction and transverse momentum of the daughter partons with res”
- Covariant Galilean versus Carrollian hydrodynamics from relativistic fluids (2018, background): “rariness for thevelocity fieldislost,duetothedecouplingofmass and energy. Thisis thesecondreason. 11The freedom of choosing the hydrodynamic frame was raised in [1]. Modern discussions can be found in [9,26,27] (see also [28]). 12 3.2 Galilean fluid dynamics from Zermelo background The essence of the ”
- Relativistic Fluid Dynamics in and out of Equilibrium (2017, methodology): “if k!1. In particular, these modes have group velocities larger than the speed of light, indicating a violation of causality in the relativistic Navier-Stokes equations (see e.g. the appendix of Ref. [111] for a proof of the causality violation). At rst inspection, this does not seem to constitute a”
- Stickiness of sound: An absolute lower limit on viscosity and the breakdown of second-order relativistic hydrodynamics (2011, background): “In order to do so it is necessary to go beyond the “first-order” (Navier-Stokes) formalism, because the first-order formalism leads to acausal and unstable evolution in a relativistic setting [17–21].”
- Thermal transport and drag force in improved holographic QCD (2009, unknown): “Keywords: Gauge-gravity correspondence, Hadronic Colliders ArXiv ePrint: 0906.1890 c© SISSA 2009 doi:10.1088/1126-6708/2009/12/056 J H E P 1 2 ( 2 0 0 9 ) 0 5 6 Contents”
- Conformal hydrodynamics in Minkowski and de Sitter spacetimes (2010, background): “As is well known first order relativistic viscous hydrodynamics suffers from a causality problem (see, for example, [15]).”
- Relativistic Hydrodynamics in Heavy-Ion Collisions: General Aspects and Recent Developments (2016, unknown): “[32, 89–94].”