Exponential Approach to the Hydrodynamic Attractor in Yang-Mills Kinetic Theory

Abstract

We use principal component analysis to study the hydrodynamic attractor in Yang-Mills kinetic theory undergoing the Bjorken expansion with Color Glass Condensate initial conditions. The late time hydrodynamic attractor is characterized by a single principal component determining the overall energy scale. How it is reached is governed by the disappearance of single subleading principal component characterizing deviations of the pressure anisotropy, the screening mass and the scattering rate. We find that for wide range of couplings the approach to the hydrodynamic attractor at late times is well described by an exponential. Its decay rate dependence on the coupling turns out to translate into a simple dependence on the shear viscosity to entropy density ratio.

12 pages, 7 figures

References in corpus (13)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• The Color Glass Condensate
• Gauge/gravity duality and thermalization of a boost-invariant perfect fluid
• Second order hydrodynamic coefficients from kinetic theory
• Do nuclear collisions create a locally equilibrated quark-gluon plasma?
• Relativistic Hydrodynamic Attractors with Broken Symmetries: Non-Conformal and Non-Homogeneous
• Non-equilibrium attractor in high-temperature QCD plasmas
• Hydrodynamic attractors in heavy ion collisions: a review
• Importance of initial and final state effects for azimuthal correlations in p+Pb collisions
• Non-conformal attractor in boost-invariant plasmas
• Hydrodynamization and non-equilibrium Green's functions in kinetic theory
• Development of transverse flow at small and large opacities in conformal kinetic theory
• Transasymptotics and hydrodynamization of the Fokker-Planck equation for gluons

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• Far-from-equilibrium kinetic dynamics of $\lambda {\varphi }^4$ theory in an expanding universe
• Far-from-equilibrium attractors for massive kinetic theory in the relaxation time approximation
• Hydrodynamic attractors for the speed of sound in holographic Bjorken flow
• New insights into the analytic structure of correlation functions via kinetic theory
• Novel features of attractors and transseries in non-conformal Bjorken flows
• Soft-gluon exchange matters: isotropic screening in QCD kinetic theory
• The late to early time behaviour of an expanding plasma: hydrodynamisation from exponential asymptotics
• Extended applicability domain of viscous anisotropic hydrodynamics in (2+1)-D Bjorken flow with transverse expansion
• Adiabatic hydrodynamization and quasinormal modes of nonthermal attractors