Fluid dynamics of out of equilibrium boost invariant plasmas

Abstract

By solving a simple kinetic equation, in the relaxation time approximation, and for a particular set of moments of the distribution function, we establish a set of equations which, on the one hand, capture exactly the dynamics of the kinetic equation, and, on the other hand, coincide with the hierarchy of equations of viscous hydrodynamics, to arbitrary order in the viscous corrections. This correspondence sheds light on the underlying mechanism responsible for the apparent success of hydrodynamics in regimes that are far from local equilibrium.

5 pages, and 3 figures

References in corpus (7)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Evidence for collective multi-particle correlations in pPb collisions
• Far-from-equilibrium attractors and nonlinear dynamical systems approach to the Gubser flow
• How much entropy is produced in strongly coupled Quark-Gluon Plasma (sQGP) by dissipative effects?
• Hydrodynamic attractor and the fate of perturbative expansions in Gubser flow
• Skewness of elliptic flow fluctuations
• Nonlinear dynamics from the relativistic Boltzmann equation in the Friedmann-Lemaître-Robertson-Walker spacetime

Cited by in corpus (66)

• QCD thermalization: Ab initio approaches and interdisciplinary connections
• Dense Nuclear Matter Equation of State from Heavy-Ion Collisions
• What attracts to attractors?
• Hydrodynamic attractors, initial state energy and particle production in relativistic nuclear collisions
• Novel Relaxation Time Approximation to the Relativistic Boltzmann Equation
• Nonlinear Constraints on Relativistic Fluids Far From Equilibrium
• Shrinking the Quark Gluon Plasma
• How does relativistic kinetic theory remember about initial conditions?
• Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres
• Hydrodynamic attractors in heavy ion collisions: a review
• Exact solutions and attractors of higher-order viscous fluid dynamics for Bjorken flow
• Relativistic Fluid Dynamics In and Out of Equilibrium -- Ten Years of Progress in Theory and Numerical Simulations of Nuclear Collisions
• Far-from-equilibrium search for the QCD critical point
• Hydrodynamic attractor and the fate of perturbative expansions in Gubser flow
• Emergence of hydrodynamical behavior in expanding quark-gluon plasmas
• Dynamical systems and nonlinear transient rheology of the far-from-equilibrium Bjorken flow
• ${}^{16}{\mathrm{O}}^{16}\mathrm{O}$ at RHIC and the LHC comparing $\alpha$ clustering vs substructure
• Equilibration of weakly coupled QCD plasmas
• Non-perturbative rheological behavior of a far-from-equilibrium expanding plasma
• Equilibration of the Quark-Gluon Plasma at finite net-baryon density in QCD kinetic theory
• Azimuthal Anisotropies at High Momentum from Purely Non-Hydrodynamic Transport
• Adiabatic hydrodynamization in rapidly-expanding quark-gluon plasma
• Non-conformal attractor in boost-invariant plasmas
• Hydrodynamization and non-equilibrium Green's functions in kinetic theory
• On non-conformal kinetic theory and hydrodynamics for Bjorken flow
• Intermediate mass dileptons as pre-equilibrium probes in heavy ion collisions
• On attractor and fixed points in Bjorken flows
• Hydrodynamics from free-streaming to thermalization and back again
• Hydrodynamic attractors for Gubser flow
• Hydrodynamic attractors in phase space
• SU(2) Gauge Theory in $2+1$ Dimensions on a Plaquette Chain Obeys the Eigenstate Thermalization Hypothesis
• Analytical attractor for Bjorken expansion
• Hydrodynamization in systems with detailed transverse profiles
• Extended relaxation time approximation and relativistic dissipative hydrodynamics
• Progress and Challenges in Small Systems
• Hydrodynamic Attractors in Ultrarelativistic Nuclear Collisions
• Critical lensing and kurtosis near a critical point in the QCD phase diagram in and out-of-equilibrium
• Global flow structure and exact formal transseries of the Gubser flow in kinetic theory
• Transasymptotics and hydrodynamization of the Fokker-Planck equation for gluons
• From moments of the distribution function to hydrodynamics: The non-conformal case
• Universal behaviour, transients and attractors in supersymmetric Yang-Mills plasma
• Exponential Approach to the Hydrodynamic Attractor in Yang-Mills Kinetic Theory
• Relativistic Bulk Rheology: From Neutron Star Mergers to Viscous Cosmology
• Some Aspects of the Theory of Heavy Ion Collisions
• Shear transport far from equilibrium via holography
• Relativistic Hydrodynamics: A Singulant Perspective
• Hydrodynamic Attractor in a Hubble Expansion
• Limiting attractors in heavy-ion collisions
• Relativistic second-order viscous hydrodynamics from kinetic theory with extended relaxation-time approximation
• Far-from-equilibrium kinetic dynamics of $\lambda {\varphi }^4$ theory in an expanding universe
• Fluid velocity from transverse momentum spectra
• Stability analysis of non-thermal fixed points in longitudinally expanding kinetic theory
• Pre-Equilibrium Evolution of Conserved Charges with ICCING Initial Conditions
• Constraining the initial stages of ultrarelativistic nuclear collisions
• 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
• Novel features of attractors and transseries in non-conformal Bjorken flows
• General relativistic non-ideal fluid equations for dark matter from a truncated cumulant expansion
• Far From Equilibrium Hydrodynamics and the Beam Energy Scan
• Angular mode expansion of the Boltzmann equation in the small-angle approximation
• Relativistic BGK hydrodynamics
• Fluid dynamics of out of equilibrium boost invariant plasmas
• Approach to thermalization and hydrodynamics
• Hydrodynamical attractor and thermal particle production in heavy-ion collision
• Metric anisotropies and nonequilibrium attractor for expanding plasma
• Hydrodynamic attractor in periodically driven ultracold quantum gases