Relativistic Hydrodynamic Attractors with Broken Symmetries: Non-Conformal and Non-Homogeneous
arXiv:1710.03234 · doi:10.1007/JHEP12(2017)079
Abstract
Standard textbooks will state that hydrodynamics requires near-equilibrium to be applicable. Recently, however, out-of-equilibrium attractor solutions for hydrodynamics have been found in kinetic theory and holography in systems with a high degree of symmetry, suggesting the possibility of a genuine out-of-equilibrium formulation of hydrodynamics. This work demonstrates that attractor solutions also occur in non-conformal kinetic theory and spatially non-homogeneous systems, potentially having important implications for the interpretation of experimental data in heavy-ion and proton-proton collisions and relativistic fluid dynamics as a whole.
arXiv comment13 pages, 2 figures; v2: minor changes (typos, etc.); v3: matches published version
References in corpus (24)
- Viscosity Information from Relativistic Nuclear Collisions: How Perfect is the Fluid Observed at RHIC?
- Relativistic viscous hydrodynamics, conformal invariance, and holography
- Elliptic and triangular flow in event-by-event (3+1)D viscous hydrodynamics
- New Developments in Relativistic Viscous Hydrodynamics
- Simulating elliptic flow with viscous hydrodynamics
- The importance of the bulk viscosity of QCD in ultrarelativistic heavy-ion collisions
- Hydrodynamics Beyond the Gradient Expansion: Resurgence and Resummation
- Bulk Viscous Cosmology
- Multiplicity scaling in ideal and viscous hydrodynamics
- One fluid to rule them all: viscous hydrodynamic description of event-by-event central p+p, p+Pb and Pb+Pb collisions at TeV
- Hydrodynamic gradient expansion in gauge theory plasmas
- Relativistic Viscous Fluid Dynamics and Non-Equilibrium Entropy
- A fully dynamical simulation of central nuclear collisions
- Anisotropic Hydrodynamics for Rapidly Expanding Systems
- Dark goo: Bulk viscosity as an alternative to dark energy
- Constructing higher-order hydrodynamics: The third order
- Do nuclear collisions create a locally equilibrated quark-gluon plasma?
- Relativistic (Lattice) Boltzmann Equation with Non-Ideal Equation of State
- Exact solution of the (0+1)-dimensional Boltzmann equation for a massive gas
- Large scale structure from viscous dark matter
- QM2017: Status and Key open Questions in Ultra-Relativistic Heavy-Ion Physics
- Gradient expansion for anisotropic hydrodynamics
- Small systems and regulator dependence in relativistic hydrodynamics
- Testing Hydrodynamic Descriptions of of p+p Collisions at \sqrt{s}=7 TeV
Cited by in corpus (62)
- Heavy Ion Collisions: The Big Picture, and the Big Questions
- Small System Collectivity in Relativistic Hadron and Nuclear Collisions
- QCD thermalization: Ab initio approaches and interdisciplinary connections
- Dense Nuclear Matter Equation of State from Heavy-Ion Collisions
- Effective kinetic description of event-by-event pre-equilibrium dynamics in high-energy heavy-ion collisions
- The anisotropic non-equilibrium hydrodynamic attractor
- Hydrodynamization in kinetic theory: Transient modes and the gradient expansion
- Far-from-equilibrium attractors and nonlinear dynamical systems approach to the Gubser flow
- What attracts to attractors?
- Relativistic anisotropic hydrodynamics
- The non-equilibrium attractor for kinetic theory in relaxation time approximation
- Nonlinear Constraints on Relativistic Fluids Far From Equilibrium
- Analytical attractor and the divergence of the slow-roll expansion in relativistic hydrodynamics
- The smallest fluid on earth
- 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
- Hydrodynamic attractors in heavy ion collisions: a review
- Exact solutions and attractors of higher-order viscous fluid dynamics for Bjorken flow
- Far-from-equilibrium search for the QCD critical point
- Hydrodynamic attractor and the fate of perturbative expansions in Gubser flow
- Resurgence and Hydrodynamic Attractors in Gauss-Bonnet Holography
- Emergence of hydrodynamical behavior in expanding quark-gluon plasmas
- 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
- Causality of fluid dynamics for high-energy nuclear collisions
- On non-conformal kinetic theory and hydrodynamics for Bjorken flow
- Hydrodynamic attractors in phase space
- Hydrodynamic Attractors in Ultrarelativistic Nuclear Collisions
- Global flow structure and exact formal transseries of the Gubser flow in kinetic theory
- Critical lensing and kurtosis near a critical point in the QCD phase diagram in and out-of-equilibrium
- Anisotropic hydrodynamics with a scalar collisional kernel
- From moments of the distribution function to hydrodynamics: The non-conformal case
- Bjorken flow attractors with transverse dynamics
- Exponential Approach to the Hydrodynamic Attractor in Yang-Mills Kinetic Theory
- Holographic Bjorken Flow at Large-D
- Shear flows in far-from-equilibrium strongly coupled fluids
- Nonequilibrium quark production in the expanding QCD plasma
- Relativistic Hydrodynamics: A Singulant Perspective
- Hydrodynamic Attractor in a Hubble Expansion
- Phenomenological implications of asymmetric shockwave collision studies for heavy ion physics
- Nonlinear chiral transport from holography
- Far-from-equilibrium attractors for massive kinetic theory in the relaxation time approximation
- Hydrodynamic generators in relativistic kinetic theory
- Nonlinear Fluctuations in Relativistic Causal Fluids
- Anisotropic hydrodynamics with number-conserving kernels
- 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
- Far-off-equilibrium expansion trajectories in the QCD phase diagram
- Hydrodynamic attractor in the non-conformal Bjorken flow
- Hydrodynamic Attractor in Ultracold Atoms
- Collective dynamics in heavy and light-ion collisions -- I) Kinetic Theory vs. Hydrodynamics
- Infinite Order Hydrodynamics: An Analytical Example
- Transseries for causal diffusive systems
- Far From Equilibrium Hydrodynamics and the Beam Energy Scan
- Hydrodynamization in hybrid Bjorken flow attractors
- The late to early time behaviour of an expanding plasma: hydrodynamisation from exponential asymptotics
- Using the non-hydrodynamic mode to study the onset of hydrodynamic behavior in ultraperipheral symmetric nuclear collisions
- Lattice Boltzmann study of the one-dimensional boost-invariant expansion with anisotropic initial conditions
- Hydrodynamic attractor in periodically driven ultracold quantum gases
- Pseudothermalization of the quark-gluon plasma
- Superfluids in expanding backgrounds and attractor times