Stickiness of sound: An absolute lower limit on viscosity and the breakdown of second-order relativistic hydrodynamics
By P. Kovtun, Guy D. Moore, Paul Romatschke. 2011
134 citations recorded by the source corpus.
Hydrodynamics predicts long-lived sound and shear waves. Thermal fluctuations in these waves can lead to the diffusion of momentum density, contributing to the shear viscosity and other transport coefficients. Within viscous hydrodynamics in 3+1dimensions, this leads to a positive contribution to the shear viscosity, which is finite but inversely proportional to the microscopic shear viscosity. Therefore the effective infrared viscosity is bounded from below. The contribution to the second-order transport coefficientτ� is divergent, which means that second-order relativistic viscous hydrodynamics is inconsistent below some frequency scale. We estimate the importance of each effect for the Quark-Gluon Plasma, finding them to be minor if η/s = 0.16 but important if η/s = 0.08.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/484c83ec774d8f10ad9b2d90df383707e0221e16
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In Astronomy and Astrophysics
- Ulrike Romatschke
- Hong Liu
- T. Schaefer
- J. Stachel
- P. Braun-Munzinger
- V. Koch
- M. Crossley
- Paul Romatschke
In Nuclear and High Energy Physics
- T. Schaefer
- V. Koch
- Ulrike Romatschke
- J. Stachel
- P. Braun-Munzinger
- Paul Romatschke
- Hong Liu
- M. Crossley
Citations in the corpus
- Effective field theory of dissipative fluids (2015, background): “[12, 41, 68, 69, 74] for some recent discussions of the effects of fluctuations.”
- The complex life of hydrodynamic modes (2019, unknown): “[48].”
- Properties of hot and dense matter from relativistic heavy ion collisions (2015, background): “Note that this bound is completely classical – Planck’s constant only enters indirectly, via the equation of state in the quantum regime [178].”
- Parity-violating hydrodynamics in 2 + 1 dimensions (2011, unknown): “[57] for a discussion.”
- Relativistic Fluid Dynamics in and out of Equilibrium (2017, background): “duced earlier in Eq. (2.95) by the Kubo-Martin-Schwinger (KMS) relation Gsym ; (!;k) = (1 + 2n B(!))ImG ;(!;k); (2.131) where n b(!) = (e!=T 1) 1 is the bosonic thermal distribution, cf. Ref. [160]. To evaluate (2.130), (x) is to be taken as the energy-density perturbation that is a solution of the ”