Causal hydrodynamics and the membrane paradigm
arXiv:0807.1392 · doi:10.1103/PhysRevD.78.066010
Abstract
We obtain the relaxation time for the shear viscous stress for various geometries using the "membrane paradigm" formula proposed recently. We consider the generic Schwarzschild-AdS black holes (SAdS), the generic Dp-brane, the Klebanov-Tseytlin (KT) geometry, and the N=2* theory. The formula is the "shear mode" result and is not fully trustable, but it may be helpful to learn some generic behaviors about the relaxation time. For example, a simple formula summarizes all known results for SAdS, and a single expression summarizes the results for the Dp-brane and the KT geometry.
8 pages, ReVTeX4
References in corpus (19)
- Nonlinear Fluid Dynamics from Gravity
- Gluon scattering amplitudes at strong coupling
- Relativistic viscous hydrodynamics, conformal invariance, and holography
- Holography and hydrodynamics: diffusion on stretched horizons
- Local Fluid Dynamical Entropy from Gravity
- Entropy Current in Conformal Hydrodynamics
- Causal hydrodynamics of gauge theory plasmas from AdS/CFT duality
- Sound waves in strongly coupled non-conformal gauge theory plasma
- Transport properties of cascading gauge theories
- Non-Extremal Gravity Duals for Fractional D3-Branes on the Conifold
- Black Hole Dynamics From Atmospheric Science
- Restoration of Chiral Symmetry: A Supergravity Perspective
- Screening length in plasma winds
- On the supergravity description of boost invariant conformal plasma at strong coupling
- Finite temperature resolution of the Klebanov-Tseytlin singularity
- Thermodynamics of the N=2* flow
- Hydrodynamics from the Dp-brane
- Lattice QCD at High Temperature and the QGP
- Screening length and the direction of plasma winds
Cited by in corpus (10)
- New Developments in Relativistic Viscous Hydrodynamics
- Holographic nonlinear hydrodynamics from AdS/CFT with multiple/non-Abelian symmetries
- Second order hydrodynamics for a special class of gravity duals
- Reconstruction of the quasinormal spectrum from pole-skipping
- Membrane paradigm realized?
- Flavored anisotropic black holes
- Second order transport coefficients of nonconformal relativistic fluids in various dimensions from Dp-brane
- Second order transport coefficients of nonconformal fluids from compactified Dp-branes
- Hydrodynamics of strongly coupled non-conformal fluids from gauge/gravity duality
- Compactified AdS black holes, Chamblin-Reall background, and their dual non-conformal relativistic fluids