Statistics of thermalization in Bjorken Flow

Abstract

The apparent early thermalization of quark-gluon plasma produced at RHIC and LHC has motivated a number of studies of strongly coupled $\mathcal{N}=4$ supersymmetric Yang-Mills theory using the AdS/CFT correspondence. Here we present the results of numerical simulations of Bjorken flow aimed at establishing typical features of the dynamics. This is done by evolving a large number of far from equilibrium initial states well into the hydrodynamic regime. The results strongly suggest that early thermalization is generic in this theory, taking place at proper times around $0.6$ in units of inverse local temperature. We also find that the scale which determines the rate of hydrodynamic cooling is linearly correlated with the entropy of initial states defined by the area of the apparent horizon in the dual geometry. Our results also suggest that entropy production during the hydrodynamic stage of evolution is not negligible despite the low value of $\eta /s$.

Various small improvements, including additional references. Version to appear in JHEP

References in corpus (8)

• Nonlinear Fluid Dynamics from Gravity
• Horizon formation and far-from-equilibrium isotropization in supersymmetric Yang-Mills plasma
• Local Fluid Dynamical Entropy from Gravity
• Energy density of the Glasma
• Viscous plasma evolution from gravity using AdS/CFT
• Non-equilibrium Condensation Process in a Holographic Superconductor
• Linearized fluid/gravity correspondence: from shear viscosity to all order hydrodynamics
• Absence of a local rest frame in far from equilibrium quantum matter

Cited by in corpus (4)

• Gradient expansion for anisotropic hydrodynamics
• Linearized nonequilibrium dynamics in nonconformal plasma
• Linearly resummed hydrodynamics in a weakly curved spacetime
• Holographic constraints on Bjorken hydrodynamics at finite coupling