Perturbative approaches in relativistic kinetic theory and the emergence of first-order hydrodynamics

Rocha, Gabriel S.; Denicol, Gabriel S.; Noronha, Jorge

doi:10.1103/physrevd.106.036010

Cited by 19 publications

(19 citation statements)

References 72 publications

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“…Attractors have also been studied in hydrodynamic models where the Landau frame condition has not been imposed [109,20,67,110]. Here we wish to highlight an interesting example of an attractor within a 3-dimensional phase space which arises in the general-frame MIS theory of…”

Section: Attractors In General Frame Modelsmentioning

confidence: 99%

Constraining the initial stages of ultrarelativistic nuclear collisions

et al. 2021

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One of the many physical questions that have emerged from studies of heavy-ion collisions at RHIC and the LHC concerns the validity of hydrodynamic modelling at the very early stages, when the Quark-Gluon Plasma system produced is still far from isotropy.In this article we review the idea of far-from-equilibrium hydrodynamic attractors as a way to understand how the complexity of initial states of nuclear matter is reduced so that a hydrodynamic description can be effective.

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Section: Attractors In General Frame Modelsmentioning

confidence: 99%

Constraining the initial stages of ultrarelativistic nuclear collisions

et al. 2021

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“…3 Therefore, this framework is uniquely suited to investigate real-time dynamical problems, and also mathematical questions, concerning the coupling of Einstein's equations to viscous fluids in general relativity. Numerical solutions of this theory can already be found in [45][46][47][48] while systematic derivations of BDNK theory from kinetic theory and holography were presented in [49,50] (see also [51]). Some recent applications can be found in Refs.…”

Section: Introductionmentioning

confidence: 99%

First-Order General-Relativistic Viscous Fluid Dynamics

2022

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We investigate the out-of-equilibrium dynamics of viscous fluids in a spatially flat Friedmann-Lemaître-Robertson-Walker cosmology using the most general causal and stable viscous energymomentum tensor defined at first order in spacetime derivatives. In this new framework a pressureless viscous fluid having equilibrium energy density ρ can evolve to an asymptotic future solution in which the Hubble parameter approaches a constant while ρ → 0, even in the absence of a cosmological constant (i.e., Λ = 0). Thus, while viscous effects in this model drive an accelerated expansion of the universe, the equilibrium energy density itself vanishes, leaving behind only the acceleration. This behavior emerges as a consequence of causality in first-order theories of relativistic fluid dynamics and it is fully consistent with Einstein's equations.

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“…As a matter of fact, for BDNK theories, local well-posedness has also been established for the system of PDEs describing the viscous fluid coupled to Einstein's equations in [25,28,30,37,38]. Shockwave solutions [39,40], as well as general numerical solutions to such fluid dynamic theories are currently being developed, and progress in this direction can be found in [41][42][43][44][45]. Even though local well-posedness has been established, very little is known about the global aspects of solutions of this theory.…”

Section: Introductionmentioning

confidence: 99%

Local well-posedness and singularity formation in non-Newtonian compressible fluids

Lerman,

Disconzi,

Noronha

2023

J. Phys. A: Math. Theor.

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We investigate the initial value problem of a very general class of3+1non-Newtonian compressible fluids in which the viscous stress tensor with shear and bulk viscosity relaxes to its Navier–Stokes values. These fluids correspond to the non-relativistic limit of well-known Israel–Stewart-like theories used in the relativistic fluid dynamic simulations of high-energy nuclear and astrophysical systems. After establishing the local well-posedness of the Cauchy problem, we show for the first time in the literature that there exists a large class of initial data for which the corresponding evolution breaks down in finite time due to the formation of singularities. This implies that a large class of non-Newtonian fluids do not have finite solutions defined at all times.

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Perturbative approaches in relativistic kinetic theory and the emergence of first-order hydrodynamics

Cited by 19 publications

References 72 publications

Constraining the initial stages of ultrarelativistic nuclear collisions

Constraining the initial stages of ultrarelativistic nuclear collisions

First-Order General-Relativistic Viscous Fluid Dynamics

Local well-posedness and singularity formation in non-Newtonian compressible fluids

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