Viscous hydrodynamics relaxation time from AdS/CFT

Abstract

We consider an expanding boost-invariant plasma at strong coupling using the AdS/CFT correspondence for N=4 SYM. We determine the relaxation time in second order viscous hydrodynamics and find that it is around thirty times shorter than weak coupling expectations. We find that the nonsingularity of the dual geometry in the string frame necessitates turning on the dilaton which leads to a nonvanishing expectation value for tr F^2 behaving like tau^(-10/3).

10 pages, Mathematica script included in the source; v2: typo in (28) fixed, statement about electric/magnetic modes corrected

References in corpus (26)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
• Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma
• Lecture Notes on Holographic Renormalization
• AdS/CFT Correspondence and Symmetry Breaking
• From AdS/CFT correspondence to hydrodynamics
• Isolated and dynamical horizons and their applications
• What RHIC Experiments and Theory tell us about Properties of Quark-Gluon Plasma ?
• Holography and hydrodynamics: diffusion on stretched horizons
• Universality of the shear viscosity in supergravity
• Holographic Probes of Anti-de Sitter Spacetimes
• Hydrodynamic Models for Heavy Ion Collisions
• Asymptotic perfect fluid dynamics as a consequence of AdS/CFT
• Dissipative Hydrodynamics and Heavy Ion Collisions
• Hard-Loop Dynamics of Non-Abelian Plasma Instabilities
• Gauge/gravity duality and thermalization of a boost-invariant perfect fluid
• Viscous plasma evolution from gravity using AdS/CFT
• A Holographic Dual of Hydrodynamics
• A Gravity Dual of RHIC Collisions
• The RHIC fireball as a dual black hole
• Elliptic Flow, Kasner Universe and Holographic Dual of RHIC Fireball
• From static to evolving geometries -- R-charged hydrodynamics from supergravity
• Spherically expanding matter in AdS/CFT
• Transverse flow in relativistic viscous hydrodynamics

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