Hyperscaling-violating Lifshitz hydrodynamics from black-holes: part II

Kiritsis, Elias; Matsuo, Yohtaro

doi:10.1007/jhep03(2017)041

Cited by 17 publications

(21 citation statements)

References 76 publications

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“…Of course, one will immediately ask whether there is a way to consistently truncate the series and, if the truncation to first derivative is problematic, how many orders in the derivative expansion we should keep. It would be interesting to use the gauge/gravity duality, particularly the method to extract nonlinear constitutive relations from a gravity dual such as [25,[38][39][40][41][42][43], to gain more insight into these questions. (iii) The entropy current: Recently it was shown that there is a way of making first order uncharged Lorentzian hydrodynamics stable, evading the shortcoming of the constructions mentioned above [44][45][46].…”

Section: Discussionmentioning

confidence: 99%

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

Poovuttikul

Sybesma

2020

Phys. Rev. D

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In this paper, 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 variables called Eckart frame. We also present a complete linearized analysis of the full spectrum of first order Carrollian hydrodynamics. Furthermore, we show that even in a fluid without boost symmetry present, instabilities can occur. These results provide evidence that the unphysical instabilities are symptoms of first order hydrodynamics, rather than a special feature of Lorentzian fluids.

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Section: Discussionmentioning

confidence: 99%

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

Poovuttikul

Sybesma

2020

Phys. Rev. D

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“…Some previous investigations appear in e.g. [15][16][17][18][19][20][21][22][23][24][25][26][27], in part reviewed in [5]. In the context of gauge/gravity duality [1][2][3][4] for relativistic theories, various transport properties are encoded in the quasinormal modes of the dual gravitational black branes, see e.g.…”

Section: Introductionmentioning

confidence: 99%

Hyperscaling violation, quasinormal modes and shear diffusion

Mukherjee

Narayan

2017

J. High Energ. Phys.

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Abstract:We study quasinormal modes of shear gravitational perturbations for hyperscaling violating Lifshitz theories, with Lifshitz and hyperscaling violating exponents z and θ. The lowest quasinormal mode frequency yields a shear diffusion constant which is in agreement with that obtained in previous work by other methods. In particular for theories with z < d i + 2 − θ where d i is the boundary spatial dimension, the shear diffusion constant exhibits power-law scaling with temperature, while for z = d i + 2 − θ, it exhibits logarithmic scaling. We then calculate certain 2-point functions of the dual energy-momentum tensor holographically for z ≤ d i + 2 − θ, identifying the diffusive poles with the quasinormal modes above. This reveals universal behaviour η/s = 1/4π for the viscosity-to-entropy-density ratio for all z ≤ d i + 2 − θ.

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“…4 Hydrodynamics for z = 2 Schrödinger systems was considered from a modern perspective in e.g. Refs [10,11,12,13,14,15,16,17,18]…”

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confidence: 99%

Hydrodynamic modes of homogeneous and isotropic fluids

2018

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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, or in critical systems with generic dynamical exponent z, the assumption of Lorentz invariance (or its non-relativistic version) does not hold. We are thus led to consider the most general fluid assuming only homogeneity and isotropy and study its hydrodynamics and transport behaviour. Remarkably, such systems have not been treated in full generality in the literature so far. Here we study these equations at the linearized level. We find new expressions for the speed of sound, corrections to the Navier-Stokes equation and determine all dissipative and non-dissipative first order transport coefficients. Dispersion relations for the sound, shear and diffusion modes are determined to second order in momenta. In the presence of a scaling symmetry with dynamical exponent z, we show that the sound attenuation constant depends on both shear viscosity and thermal conductivity.

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Hyperscaling-violating Lifshitz hydrodynamics from black-holes: part II

Cited by 17 publications

References 76 publications

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

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

Hyperscaling violation, quasinormal modes and shear diffusion

Hydrodynamic modes of homogeneous and isotropic fluids

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