# Third-order relativistic hydrodynamics: dispersion relations and transport coefficients of a dual plasma

@article{Diles2019ThirdorderRH,
title={Third-order relativistic hydrodynamics: dispersion relations and transport coefficients of a dual plasma},
author={Saulo Diles and Luis A. H. Mamani and Alex S. Miranda and Vilson Tonin Zanchin},
journal={Journal of High Energy Physics},
year={2019},
volume={2020},
pages={1-40}
}
Hydrodynamics is nowadays understood as an effective field theory that describes the dynamics of the long-wavelength and slow-time fluctuations of an underlying microscopic theory. In this work we extend the relativistic hydrodynamics to third order in the gradient expansion for neutral fluids in a general curved spacetime of d dimensions. We find 58 new transport coefficients, 19 due to third-order scalar corrections and 39 due to tensorial corrections. In the particular case of a conformal… Expand
7 Citations

#### Figures from this paper

An effective description of momentum diffusion in a charged plasma from holography
• Temple He
• Physics
• 2021
We discuss the physics of momentum diffusion in a charged plasma. Following the holographic strategy outlined in [1] we construct an open effective field theory for the low-lying modes of theExpand
Critical behaviour of hydrodynamic series
• Physics, Mathematics
• 2021
We investigate the time-dependent perturbations of strongly coupledN = 4 SYM theory at finite temperature and finite chemical potential with a second order phase transition. This theory is modelledExpand
Effective holographic models for QCD: Thermodynamics and viscosity coefficients
• Physics
• Physical Review D
• 2021
A finite temperature extension of the effective holographic models for QCD (EHQCD), proposed in Ref. [1], is investigated in the present work. EHQCD models are characterized by two parameters, theExpand
Hydrodynamic gradient expansion in linear response theory
• Physics
• Physical Review D
• 2021
One of the foundational questions in relativistic fluid mechanics concerns the properties of the hydrodynamic gradient expansion at large orders. Studies of expanding systems arising in heavy-ionExpand
Linearized dispersion relations in viscous relativistic hydrodynamics
• Physics
• 2021
We compute the dispersion relations for scalar, vector and tensor modes of a viscous relativistic fluid, linearized around an equilibrium solution, for a divergence type theory (which, in theExpand
Effective field theory of stochastic diffusion from gravity
• Physics
• 2020
Author(s): Ghosh, Jewel K; Loganayagam, R; Prabhu, Siddharth G; Rangamani, Mukund; Sivakumar, Akhil; Vishal, V | Abstract: Planar black holes in AdS have long-lived quasinormal modes which captureExpand
Two theorems for the gradient expansion of relativistic hydrodynamics
This letter is dedicated to providing proofs of two statements concerning the gradient expansion of relativistic hydrodynamics. The first statement is that \textit{the ordering of transverseExpand

#### References

SHOWING 1-10 OF 167 REFERENCES
Phys
• Rev. D 93, no. 6, 066012
• 2016
JHEP 0805
• 087
• 2008
Nuovo Cim
• Suppl. 3S10, 15 (1956) [Usp. Fiz. Nauk 56, 309
• 1955
Precision measurement of the $${B}_c^{+}$$ meson mass
A precision measurement of the $B_{c}^{+}$ meson mass is performed using proton-proton collision data collected with the LHCb experiment at centre-of-mass energies of $7, 8$ and $13$ TeV,Expand
• Phys. Rev.
• 2019
New results on the physical interpretation of black-brane gravitational perturbations
• Physics
• Physical Review D
• 2019
The linear perturbation theory applied to the study of black holes is a traditional and powerful tool to investigate some of the basic properties of these objects, such as the stability of the eventExpand
• Phys. Rev.
• 2018
A panoply of Schwinger-Keldysh transport
• Physics
• 2018
We classify all possible allowed constitutive relations of relativistic fluids in a statistical mechanical limit using the Schwinger-Keldysh effective action for hydrodynamics. We find thatExpand
Effective action for relativistic hydrodynamics: fluctuations, dissipation, and entropy inflow
• Physics, Mathematics
• 2018
A bstractWe present a detailed and self-contained analysis of the universal SchwingerKeldysh effective field theory which describes macroscopic thermal fluctuations of a relativistic field theory,Expand
From quasinormal modes of rotating black strings to hydrodynamics of a moving CFT plasma
• Physics
• 2018
A certain identification of points in a planar Schwarzschild-anti de Sitter (AdS) black hole generates a four-dimensional static black string. In turn, a rotating black string can be obtained from aExpand