Shear flows in far-from-equilibrium strongly coupled fluids

Abstract

Despite the viscosity of a fluid ranges over several orders of magnitudes and is extremely sensitive to microscopic structure and molecular interactions, it has been conjectured that its (opportunely normalized) minimum displays a universal value which is experimentally approached in strongly coupled fluids such as the quark-gluon plasma. At the same time, recent findings suggest that hydrodynamics could serve as a universal attractor even when the deformation gradients are large and that dissipative transport coefficients, such as viscosity, could still display a universal behavior far-from-equilibrium. Motivated by these observations, we consider the real-time dissipative dynamics of several holographic models under large shear deformations. In all the cases considered, we observe that at late time both the viscosity-entropy density ratio and the dimensionless ratio between energy density and entropy density approach a constant value. Whenever the shear rate in units of the energy density is small at late time, these values coincide with the expectations from near equilibrium hydrodynamics. Surprisingly, even when this is not the case, and the system at late time is far from equilibrium, the viscosity-to-entropy ratio approaches a constant which decreases monotonically with the dimensionless shear rate and can be parametrically smaller than the hydrodynamic result.

v3: matching the published version

References in corpus (21)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Viscosity, Black Holes, and Quantum Field Theory
• Theory of universal incoherent metallic transport
• Horizon formation and far-from-equilibrium isotropization in supersymmetric Yang-Mills plasma
• Temperature in and out of equilibrium: a review of concepts, tools and attempts
• A numerical relativity approach to the initial value problem in asymptotically Anti-de Sitter spacetime for plasma thermalization - an ADM formulation
• On the hydrodynamic attractor of Yang-Mills plasma
• Relativistic Hydrodynamic Attractors with Broken Symmetries: Non-Conformal and Non-Homogeneous
• Fluid Dynamics and Viscosity in Strongly Correlated Fluids
• Absence of a local rest frame in far from equilibrium quantum matter
• Non-conformal attractor in boost-invariant plasmas
• Quark-Gluon Plasma at RHIC and the LHC: Perfect Fluid too Perfect?
• Holography, Hydrodynamization and Heavy-Ion Collisions
• Is the Chiral Magnetic Effect fast enough?
• Nonlinear Oscillatory Shear Tests in Viscoelastic Holography
• Non-linear elasticity, yielding and entropy in amorphous solids
• Hydrodynamic Attractor in a Hubble Expansion
• Hydrodynamization times of a holographic fluid far from equilibrium
• Hydrodynamic attractor in the non-conformal Bjorken flow
• Non-equilibrium dynamics in Holography

Cited by in corpus (12)

• Hydrodynamic Attractors in Ultrarelativistic Nuclear Collisions
• Bubble expansion at strong coupling
• Holographic dissipative space-time supersolids
• Dynamical evolution of spinodal decomposition in holographic superfluids
• Thermoelectric Transport in Holographic Quantum Matter under Shear Strain
• Breaking rotations without violating the KSS viscosity bound
• Phases of a 10-D Holographic hard wall model
• Phase transitions in a holographic superfluid model with non-linear terms beyond the probe limit
• Holographic study of shear viscosity and butterfly velocity for magnetic field-driven quantum criticality
• Mechanical stability of homogeneous holographic solids under finite shear strain
• Shear transport in far-from-equilibrium isotropization of supersymmetric Yang-Mills plasma
• Shear viscoelasticity in anisotropic holographic axion model