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122
Relativistic viscous hydrodynamics, conformal invariance, and holography
 JHEP
"... Abstract: We consider secondorder viscous hydrodynamics in conformal field theories at finite temperature. We show that conformal invariance imposes powerful constraints on the form of the secondorder corrections. By matching to the AdS/CFT calculations of correlators, and to recent results for Bj ..."
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Cited by 85 (2 self)
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Abstract: We consider secondorder viscous hydrodynamics in conformal field theories at finite temperature. We show that conformal invariance imposes powerful constraints on the form of the secondorder corrections. By matching to the AdS/CFT calculations of correlators, and to recent results for Bjorken flow obtained by Heller and Janik, we find three (out of five) secondorder transport coefficients in the strongly coupled N = 4 supersymmetric YangMills theory. We also discuss how these new coefficents can arise within the kinetic theory of weakly coupled conformal plasmas. We point out that the MüllerIsraelStewart theory, often used in numerical simulations, does not contain all allowed secondorder terms and, frequently, terms required by conformal invariance. Contents
Fluid dynamics of Rcharged black holes
"... We construct electrically charged AdS5 black hole solutions whose charge, mass and boostparameters vary slowly with the spacetime coordinates. From the perspective of the dual theory, these are equivalent to hydrodynamic configurations with varying chemical potential, temperature and velocity fiel ..."
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Cited by 75 (3 self)
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We construct electrically charged AdS5 black hole solutions whose charge, mass and boostparameters vary slowly with the spacetime coordinates. From the perspective of the dual theory, these are equivalent to hydrodynamic configurations with varying chemical potential, temperature and velocity fields. We compute the boundary theory transport coefficients associated with a derivative expansion of the energy momentum tensor and Rcharge current up to second order. In particular, we find a first order transport coefficient
Gravity & Hydrodynamics: Lectures on the fluidgravity correspondence
, 2009
"... We discuss recent developments in the hydrodynamic description of strongly coupled conformal field theories using the AdS/CFT correspondence. In particular, we review aspects of the fluidgravity correspondence which provides a map between a class of inhomogeneous, dynamical, black hole solutions in ..."
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Cited by 73 (1 self)
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We discuss recent developments in the hydrodynamic description of strongly coupled conformal field theories using the AdS/CFT correspondence. In particular, we review aspects of the fluidgravity correspondence which provides a map between a class of inhomogeneous, dynamical, black hole solutions in asymptotically AdS spacetimes and arbitrary fluid flows in the strongly interacting boundary field theory. We explain how the geometric duals to the fluid dynamics are constructed in a boundary derivative expansion and use the construction to extract the hydrodynamic transport coefficients. In addition we also describe the recent developments extending the correspondence to incorporate matter fields and to nonrelativistic systems. Based on
Universal hydrodynamics of nonconformal branes
"... We examine the hydrodynamic limit of nonconformal branes using the recently developed precise holographic dictionary. We first streamline the discussion of holography for backgrounds that asymptote locally to nonconformal brane solutions by showing that all such solutions can be obtained from high ..."
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Cited by 54 (5 self)
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We examine the hydrodynamic limit of nonconformal branes using the recently developed precise holographic dictionary. We first streamline the discussion of holography for backgrounds that asymptote locally to nonconformal brane solutions by showing that all such solutions can be obtained from higher dimensional asymptotically locally AdS solutions by suitable dimensional reduction and continuation in the dimension. As a consequence, many holographic results for such backgrounds follow from the corresponding results of the Asymptotically AdS case. In particular, the hydrodynamics of nonconformal branes is fully determined in terms of conformal hydrodynamics. Using previous results on the latter we predict the form of the nonconformal hydrodynamic stress tensor to second order in derivatives. Furthermore we show that the ratio between bulk and shear viscosity is fixed by the generalized conformal structure to be ζ/η = 2(1/(d − 1) − c2 s), where cs is the speed The AdS/CFT correspondence provides a powerful tool to study strongly coupled quantum field theories. In particular, it has become possible to explore strongly coupled finite temperature
Nonlinear viscous hydrodynamics in various dimensions using AdS/CFT
, 2008
"... We compute coefficients of twoderivative terms in the hydrodynamic energy momentum tensor of a viscous fluid which has an AdSD dual with 3 ≤ D ≤ 7. For the case of D = 3 we obtain an exact AdS3 black hole solution, valid to all orders in a derivative expansion, dual to a perfect fluid in 1 + 1 dime ..."
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Cited by 41 (3 self)
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We compute coefficients of twoderivative terms in the hydrodynamic energy momentum tensor of a viscous fluid which has an AdSD dual with 3 ≤ D ≤ 7. For the case of D = 3 we obtain an exact AdS3 black hole solution, valid to all orders in a derivative expansion, dual to a perfect fluid in 1 + 1 dimensions.
Conformal nonrelativistic hydrodynamics from gravity
, 2008
"... We show that the recently constructed holographic duals of conformal nonrelativistic theories behave hydrodynamically at long distances, and construct the gravitational dual of fluid flows in a longwavelength approximation. We compute the thermal conductivity of the holographic conformal nonrelat ..."
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Cited by 36 (2 self)
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We show that the recently constructed holographic duals of conformal nonrelativistic theories behave hydrodynamically at long distances, and construct the gravitational dual of fluid flows in a longwavelength approximation. We compute the thermal conductivity of the holographic conformal nonrelativistic fluid. The corresponding Prandtl number is equal to one.
ENERGY LOSS IN A STRONGLY COUPLED THERMAL MEDIUM AND THE GAUGESTRING DUALITY
, 2009
"... We review methods developed in the gaugestring duality to treat energy loss by energetic probes of a strongly coupled thermal medium. After introducing the black hole description of the thermal medium, we discuss the trailing string behind a heavy quark and the drag force that it implies. We then e ..."
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Cited by 34 (1 self)
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We review methods developed in the gaugestring duality to treat energy loss by energetic probes of a strongly coupled thermal medium. After introducing the black hole description of the thermal medium, we discuss the trailing string behind a heavy quark and the drag force that it implies. We then explain how to solve the linearized Einstein equations in the presence of the trailing string and extract from the solutions the energy density and the Poynting vector of the dual gauge theory. We summarize some efforts to compare these calculations to heavy ion phenomenology.