Linearized hydrodynamics from probe-sources in the gauge-string duality

Abstract

We study the response of an infinite, asymptotically static N=4 plasma to a generic localized source in the probe approximation. At large distances, the energy momentum tensor of the plasma includes a term which satisfies the constitutive relations of linearized hydrodynamics, but it can also include a non-hydrodynamical term which contributes at the same order as viscous corrections, or even at leading order in some cases. The conditions for the appearance of a laminar wake far behind the source and its relevance for phenomenological models used to explain di-hadron correlations are discussed. We also consider the energy momentum tensor near the source, where the hydrodynamical approximation can be expected to break down. Our analysis encompasses a wide range of sources which are localized in the bulk of AdS, including trailing strings, mesonic and baryonic configurations of strings, and point particles.

43 pages, 3 appendices

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Cited by in corpus (18)

• Physics of Strongly coupled Quark-Gluon Plasma
• Local Fluid Dynamical Entropy from Gravity
• Acceleration, Energy Loss and Screening in Strongly-Coupled Gauge Theories
• Jets in strongly-coupled N = 4 super Yang-Mills theory
• A Chiral Magnetic Effect from AdS/CFT with Flavor
• Universality of second order transport coefficients from the gauge-string duality
• The Stress-Energy Tensor of Flavor Fields from AdS/CFT
• Higher Derivative Corrections to Shear Viscosity from Graviton's Effective Coupling
• Nonlinear Langevin dynamics via holography
• Improved Hydrodynamics from the AdS/CFT
• Shear Viscosity to Entropy Density Ratio in Six Derivative Gravity
• Higher Derivative Corrections to Locally Black Brane Metrics
• On the critical condition in gravitational shock wave collision and heavy ion collisions
• Holographic Flavor Transport in Arbitrary Constant Background Fields
• A modulated shear to entropy ratio
• Conical Di-jet Correlations from a Chromo-Viscous Neck in AdS/CFT
• Jet Propagation and Mach-Cone Formation in (3+1)-dimensional Ideal Hydrodynamics
• Mach-like Angular Correlations Arise Only From the Head Zone of AdS/CFT String Jets