Breakdown of hydrodynamics from holographic pole collision

Abstract

We study the breakdown of diffusive hydrodynamics in holographic systems dual to neutral dilatonic black holes with extremal near horizon geometries conformal to AdS${}_2\times$R${}^2$. We find that at low temperatures by tuning the effective gauge coupling constant in the infra-red, the lowest non-hydrodynamic mode, which collides with the charge diffusive mode and sets the scales at which diffusive hydrodynamics break down, could be either an infra-red mode or a slow mode, resulting in different scaling behaviors of the local equilibrium scales. We confirm that the upper bound for the charge diffusion constant is always satisfied using the velocity and timescale of local equilibration from the pole collision. We also examine the breakdown of hydrodynamics at general temperature and find that the convergence radius has nontrivial dependence on temperature, in addition to the effective gauge coupling constant.

arXiv comment39 pages, 12 figures, the published version

References in corpus (42)

• Quasinormal modes and holography
• Theory of universal incoherent metallic transport
• Lectures on hydrodynamic fluctuations in relativistic theories
• A simple holographic model of momentum relaxation
• Hydrodynamics Beyond the Gradient Expansion: Resurgence and Resummation
• Holographic quantum matter
• Holographic duality and the resistivity of strange metals
• Peculiar properties of a charged dilatonic black hole in AdS_5
• Holography without translational symmetry
• Hydrodynamic gradient expansion in gauge theory plasmas
• Momentum dissipation and effective theories of coherent and incoherent transport
• Hydrodynamics of Holographic Superconductors
• Hydrodynamic Fluctuations, Long-time Tails, and Supersymmetry
• Holographic Operator Mixing and Quasinormal Modes on the Brane
• The complex life of hydrodynamic modes
• Universal Diffusion in Incoherent Black Holes
• On the convergence of the gradient expansion in hydrodynamics
• Holography and hydrodynamics with weakly broken symmetries
• Semi-local quantum liquids
• An upper bound on transport
• Deconstructing holographic liquids
• Spectral weight in holographic scaling geometries
• Complexified quasinormal modes and the pole-skipping in a holographic system at finite chemical potential
• Short-lived modes from hydrodynamic dispersion relations
• Quasinormal modes in charged fluids at complex momentum
• Holographic Schwinger-Keldysh effective field theories
• Slow relaxation and diffusion in holographic quantum critical phases
• Hydrodynamic gradient expansion in linear response theory
• Constraints on quasinormal modes and bounds for critical points from pole-skipping
• All Order Linearized Hydrodynamics from Fluid/Gravity Correspondence
• Origin of the Drude peak and of zero sound in probe brane holography
• Convergence of hydrodynamic modes: insights from kinetic theory and holography
• A prescription for holographic Schwinger-Keldysh contour in non-equilibrium systems
• Hydrodynamic diffusion and its breakdown near AdS${}_2$ quantum critical points
• The breakdown of magneto-hydrodynamics near AdS${}_2$ fixed point and energy diffusion bound
• Impact of irrelevant deformations on thermodynamics and transport in holographic quantum critical states
• On the universality of AdS${}_2$ diffusion bounds and the breakdown of linearized hydrodynamics
• How small hydrodynamics can go
• Holographic incoherent transport in Einstein-Maxwell-dilaton Gravity
• Hydrodynamic dispersion relations at finite coupling
• Field Theory of Dissipative Systems with Gapped Momentum States
• Linear-$T$ resistivity at high temperature

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• Long-time tails in the SYK chain from the effective field theory with a large number of derivatives
• Holographic Schwinger-Keldysh effective field theories including a non-hydrodynamic mode
• Characteristic momentum of Hydro+ and a bound on the speed of sound near the QCD critical point
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