Non-equilibrium attractor in high-temperature QCD plasmas

Abstract

We establish the existence of a far-from-equilibrium attractor in weakly-coupled gauge theory undergoing one-dimensional Bjorken expansion. We demonstrate that the resulting far-from-equilibrium evolution is insensitive to certain features of the initial condition, including both the initial momentum-space anisotropy and initial occupancy. We find that this insensitivity extends beyond the energy-momentum tensor to the detailed form of the one-particle distribution function. Based on our results, we assess different procedures for reconstructing the full one-particle distribution function from the energy-momentum tensor along the attractor and discuss implications for the freeze-out procedure used in the phenomenological analysis of ultra-relativistic nuclear collisions.

10 pages 5 figures

References in corpus (65)

• The Effect of Shear Viscosity on Spectra, Elliptic Flow, and HBT Radii
• Transport coefficients in high temperature gauge theories: (II) Beyond leading log
• Bottom-up thermalization in heavy ion collisions
• Collective Modes of an Anisotropic Quark-Gluon Plasma
• Effective Kinetic Theory for High Temperature Gauge Theories
• New theories of relativistic hydrodynamics in the LHC era
• Dissipative Dynamics of Highly Anisotropic Systems
• Hydrodynamics Beyond the Gradient Expansion: Resurgence and Resummation
• Highly-anisotropic and strongly-dissipative hydrodynamics for early stages of relativistic heavy-ion collisions
• Isotropization and hydrodynamization in weakly coupled heavy-ion collisions
• Boost invariant flow, black hole formation, and far-from-equilibrium dynamics in N = 4 supersymmetric Yang-Mills theory
• Dissipative relativistic fluid dynamics: a new way to derive the equations of motion from kinetic theory
• One fluid to rule them all: viscous hydrodynamic description of event-by-event central p+p, p+Pb and Pb+Pb collisions at $\sqrt{s}=5.02$ TeV
• Turbulent thermalization process in heavy-ion collisions at ultrarelativistic energies
• Universal attractor in a highly occupied non-Abelian plasma
• Collective dynamics of the high-energy proton-nucleus collisions
• Fluid Dynamics far from Local Equilibrium
• Radiative energy loss and v2 spectra for viscous hydrodynamics
• Testing viscous and anisotropic hydrodynamics in an exactly solvable case
• Effective kinetic description of event-by-event pre-equilibrium dynamics in high-energy heavy-ion collisions
• Imprints of fluctuating proton shapes on flow in proton-lead collisions at the LHC
• Second order hydrodynamic coefficients from kinetic theory
• Toward Equilibration in the Early Stages After a High Energy Heavy Ion Collision
• The anisotropic non-equilibrium hydrodynamic attractor
• Anisotropic Hydrodynamics for Rapidly Expanding Systems
• Origin of the Relaxation Time in Dissipative Fluid Dynamics
• Hydrodynamization in kinetic theory: Transient modes and the gradient expansion
• Universality far from equilibrium: From superfluid Bose gases to heavy-ion collisions
• Collectivity and electromagnetic radiation in small systems
• Far-from-equilibrium attractors and nonlinear dynamical systems approach to the Gubser flow
• What attracts to attractors?
• The Boltzmann equation for gluons at early times after a heavy ion collision
• Relativistic anisotropic hydrodynamics
• On the hydrodynamic attractor of Yang-Mills plasma
• The non-equilibrium attractor for kinetic theory in relaxation time approximation
• Hydrodynamic attractors, initial state energy and particle production in relativistic nuclear collisions
• Initial conditions for hydrodynamics from weakly coupled pre-equilibrium evolution
• UV Cascade in Classical Yang-Mills via Kinetic Theory
• Relativistic Hydrodynamic Attractors with Broken Symmetries: Non-Conformal and Non-Homogeneous
• Classical Initial Conditions for Ultrarelativistic Heavy Ion Collisions
• Flow in AA and pA as an interplay of fluid-like and non-fluid like excitations
• Chemical Equilibration in Hadronic Collisions
• Chemical Equilibration in Weakly Coupled QCD
• Gluon spectrum in the glasma from JIMWLK evolution
• Projection method and new formulation of leading-order anisotropic hydrodynamics
• Bjorken Flow, Plasma Instabilities, and Thermalization
• Viscous Hydrodynamics and the Quark Gluon Plasma
• How does relativistic kinetic theory remember about initial conditions?
• Prescaling and far-from-equilibrium hydrodynamics in the quark-gluon plasma
• Exact solutions and attractors of higher-order viscous fluid dynamics for Bjorken flow
• How big are the smallest drops of quark-gluon plasma?
• Hydrodynamic attractor and the fate of perturbative expansions in Gubser flow
• Opacity dependence of elliptic flow in kinetic theory
• Weak and strong coupling equilibration in nonabelian gauge theories
• Coupled kinetic equations for quarks and gluons in the relaxation time approximation
• Non-perturbative rheological behavior of a far-from-equilibrium expanding plasma
• Holographic Collisions in Non-conformal Theories
• Hydrodynamics from free-streaming to thermalization and back again
• Quasiparticle anisotropic hydrodynamics for central collisions
• Small system studies: A theory overview
• Exact solution for the non-equilibrium attractor in number-conserving relaxation time approximation
• Global flow structure and exact formal transseries of the Gubser flow in kinetic theory
• Anisotropic hydrodynamics with a scalar collisional kernel
• Universal behaviour, transients and attractors in supersymmetric Yang-Mills plasma
• Anisotropic-hydrodynamics approach to a quark-gluon fluid mixture

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• Hydrodynamic attractors in heavy ion collisions: a review
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• Bottomonium production in heavy-ion collisions using quantum trajectories: Differential observables and momentum anisotropy
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• Hydrodynamic Attractors in Ultrarelativistic Nuclear Collisions
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• Hydrodynamic attractor of a hybrid viscous fluid in Bjorken flow
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• Hydrodynamic attractors for the speed of sound in holographic Bjorken flow
• Constraining the initial stages of ultrarelativistic nuclear collisions
• An improved anisotropic hydrodynamics ansatz
• Far-from-equilibrium attractors with Full Relativistic Boltzmann approach in 3+1 D: moments of distribution function and anisotropic flows $v_n$
• Hydrodynamic attractor in the non-conformal Bjorken flow
• Holographic entropy production in a Bjorken expanding hot and dense strongly coupled quantum fluid
• Kaonic Hanbury-Brown-Twiss radii at 200 GeV and 5.02 TeV
• Bayesian Constraints on Pre-Equilibrium Jet Quenching and Predictions for Oxygen Collisions
• Collective flow in single-hit QCD kinetic theory
• Hydrodynamic attractor in periodically driven ultracold quantum gases
• Solving the QCD effective kinetic theory with neural networks
• Far-from-equilibrium attractors with a realistic non-conformal equation of state
• Transport properties of the QCD medium
• Limiting attractors in heavy-ion collisions -- the interplay between bottom-up and hydrodynamic attractors