# First order non-Lorentzian fluids, entropy production, and linear instabilities

@article{Poovuttikul2020FirstON, title={First order non-Lorentzian fluids, entropy production, and linear instabilities}, author={Napat Poovuttikul and Watse Sybesma}, journal={Physical Review D}, year={2020}, volume={102} }

In this note, we investigate linear instabilities of hydrodynamics with corrections up to first order in derivatives. It has long been known that relativistic (Lorentzian) first order hydrodynamics, with positive local entropy production, exhibits unphysical instabilities. We extend this analysis to fluids with Galilean and Carrollian boost symmetries. We find that the instabilities occur in all cases, except for fluids with Galilean boost symmetry combined with the choice of macroscopic…

## 14 Citations

### Effective field theory for hydrodynamics without boosts

- PhysicsSciPost Physics
- 2021

We formulate the Schwinger-Keldysh effective field theory of
hydrodynamics without boost symmetry. This includes a spacetime covariant
formulation of classical hydrodynamics without boosts with an…

### Non-boost invariant fluid dynamics

- PhysicsSciPost Physics
- 2020

We consider uncharged fluids without any boost symmetry on an arbitrary curved background and classify all allowed transport coefficients up to first order in derivatives. We assume rotational…

### Hydrodynamics without boosts

- MathematicsJournal of High Energy Physics
- 2020

Abstract
We construct the general first-order hydrodynamic theory invariant under time translations, the Euclidean group of spatial transformations and preserving particle number, that is with…

### Gauges in three-dimensional gravity and holographic fluids

- Physics
- 2020

Solutions to Einstein's vacuum equations in three dimensions are locally maximally symmetric. They are distinguished by their global properties and their investigation often requires a choice of…

### Newton-Cartan submanifolds and fluid membranes.

- PhysicsPhysical review. E
- 2020

The geometric description of submanifolds in Newton-Cartan spacetime is developed and it is argued that this is the natural geometrical framework to study fluid membranes in thermal equilibrium and their dynamics out of equilibrium.

### Driven black holes: from Kolmogorov scaling to turbulent wakes

- PhysicsJournal of High Energy Physics
- 2021

Abstract
General relativity governs the nonlinear dynamics of spacetime, including black holes and their event horizons. We demonstrate that forced black hole horizons exhibit statistically steady…

### Enstrophy without boost symmetry

- MathematicsSciPost Physics
- 2022

We construct an approximately conserved current for $2+1$ dimensional, Aristotelian (non boost invariant), fluid flow. When Aristotelian symmetry is enhanced to Galilean symmetry, this current…

### Fefferman--Graham and Bondi Gauges in the Fluid/Gravity Correspondence

- Physics
- 2020

In three-dimensional gravity, we discuss the relation between the Fefferman--Graham gauge, the Bondi gauge and the Eddington--Finkelstein type of gauge, often referred to as the derivative expansion,…

### Conformal Carroll Scalars with Boosts

- Mathematics
- 2022

We construct two distinct actions for scalar ﬁelds that are invariant under local Carroll boosts and Weyl transformations. Conformal Carroll ﬁeld theories were recently argued to be related to the…

### Relativistic fluids, hydrodynamic frames and their Galilean versus Carrollian avatars

- PhysicsJournal of High Energy Physics
- 2022

We comprehensively study Galilean and Carrollian hydrodynamics on arbitrary backgrounds, in the presence of a matter/charge conserved current. For this purpose, we follow two distinct and…

## References

SHOWING 1-10 OF 63 REFERENCES

### First-order relativistic hydrodynamics is stable

- PhysicsJournal of High Energy Physics
- 2019

Abstract
We study linearized stability in first-order relativistic viscous hydrodynamics in the most general frame. There is a region in the parameter space of transport coefficients where the…

### Hydrodynamic modes of homogeneous and isotropic fluids

- PhysicsSciPost Physics
- 2018

Relativistic fluids are Lorentz invariant, and a non-relativistic
limit of such fluids leads to the well-known Navier–Stokes equation.
However, for fluids moving with respect to a reference system,…

### Relativistic viscous hydrodynamics, conformal invariance, and holography

- Physics, Mathematics
- 2008

We consider second-order viscous hydrodynamics in conformal field theories at finite temperature. We show that conformal invariance imposes powerful constraints on the form of the second-order…

### Nonlinear causality of general first-order relativistic viscous hydrodynamics

- PhysicsPhysical Review D
- 2019

Effective theory arguments are used to derive the most general energy-momentum tensor of a relativistic viscous fluid with an arbitrary equation of state (in the absence of other conserved currents)…

### Constructing higher-order hydrodynamics: The third order

- Physics
- 2016

Hydrodynamics can be formulated as the gradient expansion of conserved currents in terms of the fundamental fields describing the near-equilibrium fluid flow. In the relativistic case, the…

### New Developments in Relativistic Viscous Hydrodynamics

- Physics
- 2010

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)…

### Hydrodynamics without boosts

- MathematicsJournal of High Energy Physics
- 2020

Abstract
We construct the general first-order hydrodynamic theory invariant under time translations, the Euclidean group of spatial transformations and preserving particle number, that is with…

### Hydrodynamic gradient expansion in gauge theory plasmas.

- PhysicsPhysical review letters
- 2013

The leading singularity in the Borel transform of the hydrodynamic energy density with the lowest nonhydrod dynamic excitation corresponding to a 'nonhydrodynamic' quasinormal mode on the gravity side is identified.

### Covariant Galilean versus Carrollian hydrodynamics from relativistic fluids

- PhysicsClassical and Quantum Gravity
- 2018

We provide the set of equations for non-relativistic fluid dynamics on arbitrary, possibly time-dependent spaces, in general coordinates. These equations are fully covariant under either local…

### Aspects of hot Galilean field theory

- Physics
- 2014

A bstractWe reconsider general aspects of Galilean-invariant thermal field theory. Using the proposal of our companion paper, we recast non-relativistic hydrodynamics in a manifestly covariant way…