Hydrodynamic attractors in phase space
arXiv:2003.07368 · doi:10.1103/PhysRevLett.125.132301
Abstract
Hydrodynamic attractors have recently gained prominence in the context of early stages of ultra-relativistic heavy-ion collisions at the RHIC and LHC. We critically examine the existing ideas on this subject from a phase space point of view. In this picture the hydrodynamic attractor can be seen as a special case of the more general phenomenon of dynamical dimensionality reduction of phase space regions. We quantify this using Principal Component Analysis. Furthermore, we adapt the well known slow-roll approximation to this setting. These techniques generalize easily to higher dimensional phase spaces, which we illustrate by a preliminary analysis of a dataset describing the evolution of a 5-dimensional manifold of initial conditions immersed in a 16-dimensional representation of the phase space of the Boltzmann kinetic equation in the relaxation time approximation.
arXiv comment9 pages, 5 figures. Matches published version and includes new supplemental material on dimensionality reduction in kinetic theory
References in corpus (57)
- Gauge Theory Correlators from Non-Critical String Theory
- Heavy Ion Collisions: The Big Picture, and the Big Questions
- Relativistic viscous hydrodynamics, conformal invariance, and holography
- Formalising the Slow-Roll Approximation in Inflation
- Quasinormal modes and holography
- Effective Kinetic Theory for High Temperature Gauge Theories
- New theories of relativistic hydrodynamics in the LHC era
- Hydrodynamics Beyond the Gradient Expansion: Resurgence and Resummation
- Fluid Dynamics far from Local Equilibrium
- Hydrodynamic gradient expansion in gauge theory plasmas
- A Primer on Resurgent Transseries and Their Asymptotics
- Testing viscous and anisotropic hydrodynamics in an exactly solvable case
- Entropy Current in Conformal Hydrodynamics
- Gauge/gravity duality and thermalization of a boost-invariant perfect fluid
- The anisotropic non-equilibrium hydrodynamic attractor
- Hydrodynamization in kinetic theory: Transient modes and the gradient expansion
- Fluid dynamics of out of equilibrium boost invariant plasmas
- The First fm/c of Heavy-Ion Collisions
- What attracts to attractors?
- Far-from-equilibrium attractors and nonlinear dynamical systems approach to the Gubser flow
- 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
- Resurgence in Extended Hydrodynamics
- Relativistic Hydrodynamic Attractors with Broken Symmetries: Non-Conformal and Non-Homogeneous
- Coupling hydrodynamics to nonequilibrium degrees of freedom in strongly interacting quark-gluon plasma
- Hydrodynamics, resurgence and trans-asymptotics
- Analytical attractor and the divergence of the slow-roll expansion in relativistic hydrodynamics
- Principal component analysis of event-by-event fluctuations
- How does relativistic kinetic theory remember about initial conditions?
- Non-equilibrium attractor in high-temperature QCD plasmas
- Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres
- Prescaling and far-from-equilibrium hydrodynamics in the quark-gluon plasma
- Exact solutions and attractors of higher-order viscous fluid dynamics for Bjorken flow
- Resurgence and Hydrodynamic Attractors in Gauss-Bonnet Holography
- Hydrodynamic attractor and the fate of perturbative expansions in Gubser flow
- Emergence of hydrodynamical behavior in expanding quark-gluon plasmas
- Fluctuations of harmonic and radial flow in heavy ion collisions with principal components
- Coupled kinetic equations for quarks and gluons in the relaxation time approximation
- Non-perturbative rheological behavior of a far-from-equilibrium expanding plasma
- Adiabatic hydrodynamization in rapidly-expanding quark-gluon plasma
- The large proper-time expansion of Yang-Mills plasma as a resurgent transseries
- Early thermalization, hydrodynamics and energy loss in AdS/CFT
- Hydrodynamics from free-streaming to thermalization and back again
- Hydrodynamic attractors for Gubser flow
- On the Slow Roll Expansion for Brane Inflation
- Exact solution for the non-equilibrium attractor in number-conserving relaxation time approximation
- Anisotropic hydrodynamics with a scalar collisional kernel
- Global flow structure and exact formal transseries of the Gubser flow in kinetic theory
- Principal Component Analysis of collective flow in Relativistic Heavy-Ion Collisions
- -Dependent Particle Number Fluctuations From Principal Component Analyses in Hydrodynamic Simulations of Heavy-Ion Collisions
- Universal behaviour, transients and attractors in supersymmetric Yang-Mills plasma
- Conformal Bjorken flow in the general frame and its attractor: Similarities and discrepancies with the Müller-Israel-Stewart formalism
- Principal component analysis of the nonlinear coupling of harmonic modes in heavy-ion collisions
- Hydrodynamic attractor of a hybrid viscous fluid in Bjorken flow
- Far From Equilibrium Hydrodynamics and the Beam Energy Scan
- Fluid dynamics of out of equilibrium boost invariant plasmas
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- QCD thermalization: Ab initio approaches and interdisciplinary connections
- Hydrodynamic attractors in heavy ion collisions: a review
- Chiral hydrodynamics in strong external magnetic fields
- Equilibration of the Quark-Gluon Plasma at finite net-baryon density in QCD kinetic theory
- Establishing the Range of Applicability of Hydrodynamics in High-Energy Collisions
- Hydrodynamic Attractors in Ultrarelativistic Nuclear Collisions
- Transasymptotics and hydrodynamization of the Fokker-Planck equation for gluons
- Bjorken flow attractors with transverse dynamics
- Exponential Approach to the Hydrodynamic Attractor in Yang-Mills Kinetic Theory
- Opacity dependence of transverse flow, pre-equilibrium and applicability of hydrodynamics in heavy-ion collisions
- Conformal Bjorken flow in the general frame and its attractor: Similarities and discrepancies with the Müller-Israel-Stewart formalism
- Hydrodynamic Attractor in a Hubble Expansion
- Hydrodynamic attractor of a hybrid viscous fluid in 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
- Hydrodynamic attractor in the non-conformal Bjorken flow
- Novel features of attractors and transseries in non-conformal Bjorken flows
- Hydrodynamization in hybrid Bjorken flow attractors
- Hydrodynamic attractor in periodically driven ultracold quantum gases
- Adiabatic hydrodynamization and quasinormal modes of nonthermal attractors