Fluctuating relativistic dissipative hydrodynamics as a gauge theory

Dore, Travis; Gavassino, Lorenzo; Montenegro, David; Shokri, Masoud; Torrieri, Giorgio

doi:10.48550/arxiv.2109.06389

Cited by 2 publications

(5 citation statements)

References 52 publications

(140 reference statements)

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“…(a) if q1 ≥ ∆ η , use (39) as-is to find p 1 . Update p 0 terms using the trivial evolution equations, (31).…”

Section: Primitive Variable Recoverymentioning

confidence: 99%

“…Since the conservation law (1) decouples from (39) when q1 = 0, one must update p 0 using the perfect fluid primitive variable solution (29). As a consequence, in this case (31) is no longer used.…”

Section: Primitive Variable Recoverymentioning

confidence: 99%

“…Assuming one suitably modifies (31) to accommodate the choice of BDNK primitive variables, and one has a perfect fluid primitive variable solution for the case of interest (to replace (29)), one may use (B3-B4) in place of (38)(39) in the algorithm described in Sec. III C to obtain stable, convergent solutions to the BDNK equations in the inviscid limit.…”

Section: Appendix A: Coordinate Components Of the Conserved Currentsmentioning

confidence: 99%

“…In fact, it can be shown that extensions of MIS theories to generalized hydrodynamic frames reduce to BDNK theory instead of (acausal) Navier-Stokes equations in the firstorder limit [30]. More work towards understanding this connection [31] and in deriving fluid models from microphysical theories [32] is needed to clarify this connection.…”

Section: Introductionmentioning

confidence: 99%

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Conservative finite volume scheme for first-order viscous relativistic hydrodynamics

Pandya,

Most,

Pretorius

2022

Preprint

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We present the first conservative finite volume numerical scheme for the causal, stable relativistic Navier-Stokes equations developed by Bemfica, Disconzi, Noronha, and Kovtun (BDNK). BDNK theory has arisen very recently as a promising means of incorporating entropy-generating effects (viscosity, heat conduction) into relativistic fluid models, appearing as a possible alternative to the so-called Müller-Israel-Stewart (MIS) theory successfully used to model quark-gluon plasma. Both BDNK and MIS-type theories may be understood in terms of a gradient expansion about the perfect (ideal) fluid, wherein BDNK arises at first order and MIS at second order. As such, BDNK has vastly fewer terms and undetermined model coefficients (as is typical for an effective field theory appearing at lower order), allowing for rigorous proofs of stability, causality, and hyperbolicity in full generality which have as yet been impossible for MIS. To capitalize on these advantages, we present the first fully conservative multi-dimensional fluid solver for the BDNK equations suitable for physical applications. The scheme includes a flux-conservative discretization, non-oscillatory reconstruction, and a central-upwind numerical flux, and is designed to smoothly transition to a high-resolution shock-capturing perfect fluid solver in the inviscid limit. We assess the robustness of our new method in a series of flat-spacetime tests for a conformal fluid, and provide a detailed comparison with previous approaches of Pandya & Pretorius (2021) [1].

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“…(a) if q1 ≥ ∆ η , use (39) as-is to find p 1 . Update p 0 terms using the trivial evolution equations, (31).…”

Section: Primitive Variable Recoverymentioning

confidence: 99%

Section: Primitive Variable Recoverymentioning

confidence: 99%

Section: Appendix A: Coordinate Components Of the Conserved Currentsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Conservative finite volume scheme for first-order viscous relativistic hydrodynamics

Pandya,

Most,

Pretorius

2022

Preprint

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“…Other work which makes practical use of attractors in the context of heavy-ion collisions includes Refs. [136,137,172,[177][178][179][180][181][182][183][184][185].…”

Section: Attractors and Prehydrodynamic Flowmentioning

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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Fluctuating relativistic dissipative hydrodynamics as a gauge theory

Cited by 2 publications

References 52 publications

Conservative finite volume scheme for first-order viscous relativistic hydrodynamics

Conservative finite volume scheme for first-order viscous relativistic hydrodynamics

Constraining the initial stages of ultrarelativistic nuclear collisions

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