An improved anisotropic hydrodynamics ansatz
arXiv:2006.13834 · doi:10.1103/PhysRevC.102.064904
Abstract
We introduce an improved form for the anisotropic hydrodynamics distribution function which explicitly takes into account the free-streaming and equilibrating contributions separately. We demonstrate that with this improvement one can better reproduce exact results available in the literature for the evolution of moments of the distribution function, in particular, for moments which contain no powers of the longitudinal momentum in their definition (m=0 moments). Using the resulting dynamical equations, we extract the non-equilibrium attractor associated with our improved aHydro ansatz and demonstrate that the improvement also allows one to better reproduce the exact dynamical attractor obtained using kinetic theory in the relaxation time approximation, particularly at early rescaled times and for m=0 moments.
arXiv comment22 pages, 4 figures
References in corpus (85)
- Viscosity Information from Relativistic Nuclear Collisions: How Perfect is the Fluid Observed at RHIC?
- Radial and elliptic flow at RHIC: further predictions
- Conformal Relativistic Viscous Hydrodynamics: Applications to RHIC results at sqrt(s_NN) = 200 GeV
- Relativistic viscous hydrodynamics, conformal invariance, and holography
- Elliptic and triangular flow in event-by-event (3+1)D viscous hydrodynamics
- Derivation of transient relativistic fluid dynamics from the Boltzmann equation
- Collective flow and two-pion correlations from a relativistic hydrodynamic model with early chemical freeze out
- Collective Modes of an Anisotropic Quark-Gluon Plasma
- Simulating elliptic flow with viscous hydrodynamics
- Suppression of elliptic flow in a minimally viscous quark-gluon plasma
- New theories of relativistic hydrodynamics in the LHC era
- Dissipative Dynamics of Highly Anisotropic Systems
- Hydrodynamics Beyond the Gradient Expansion: Resurgence and Resummation
- Causal Theories of Dissipative Relativistic Fluid Dynamics for Nuclear Collisions
- Highly-anisotropic and strongly-dissipative hydrodynamics for early stages of relativistic heavy-ion collisions
- Second Order Dissipative Fluid Dynamics for Ultra-Relativistic Nuclear Collisions
- Dissipative Hydrodynamics and Heavy Ion Collisions
- Boost invariant flow, black hole formation, and far-from-equilibrium dynamics in N = 4 supersymmetric Yang-Mills theory
- Causality and existence of solutions of relativistic viscous fluid dynamics with gravity
- Dissipative relativistic fluid dynamics: a new way to derive the equations of motion from kinetic theory
- Influence of the shear viscosity of the quark-gluon plasma on elliptic flow in ultrarelativistic heavy-ion collisions
- Fluid Dynamics far from Local Equilibrium
- Anisotropic flow in sqrt(s)=2.76 TeV Pb+Pb collisions at the LHC
- Dissipative hydrodynamics for viscous relativistic fluids
- 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
- Transport Coefficients of Bulk Viscous Pressure in the 14-moment approximation
- Extracting the QGP viscosity from RHIC data -- a status report from viscous hydrodynamics
- Influence of a temperature-dependent shear viscosity on the azimuthal asymmetries of transverse momentum spectra in ultrarelativistic heavy-ion collisions
- Boost-Invariant (2+1)-dimensional Anisotropic Hydrodynamics
- Particle spectra in Pb-Pb collisions at 2.76 TeV
- The anisotropic non-equilibrium hydrodynamic attractor
- Anisotropic Hydrodynamics for Rapidly Expanding Systems
- Relativistic third-order dissipative fluid dynamics from kinetic theory
- Anisotropic Hydrodynamics: Three lectures
- Third-order relativistic dissipative hydrodynamics
- Origin of the Relaxation Time in Dissipative Fluid Dynamics
- Hydrodynamization in kinetic theory: Transient modes and the gradient expansion
- Relativistic dissipative hydrodynamics from kinetic theory with relaxation time approximation
- Transport coefficients for bulk viscous evolution in the relaxation time approximation
- Derivation of fluid dynamics from kinetic theory with the 14--moment approximation
- Far-from-equilibrium attractors and nonlinear dynamical systems approach to the Gubser flow
- What attracts to attractors?
- Relativistic anisotropic hydrodynamics
- On the hydrodynamic attractor of Yang-Mills plasma
- The non-equilibrium attractor for kinetic theory in relaxation time approximation
- Relativistic Hydrodynamic Attractors with Broken Symmetries: Non-Conformal and Non-Homogeneous
- Exact solution of the (0+1)-dimensional Boltzmann equation for a massive gas
- Flow in AA and pA as an interplay of fluid-like and non-fluid like excitations
- Derivation of anisotropic dissipative fluid dynamics from the Boltzmann equation
- 3+1d quasiparticle anisotropic hydrodynamics for ultrarelativistic heavy-ion collisions
- Bulk viscous evolution within anisotropic hydrodynamics
- Projection method and new formulation of leading-order anisotropic hydrodynamics
- How does relativistic kinetic theory remember about initial conditions?
- Divergence-type nonlinear conformal hydrodynamics
- Non-equilibrium attractor in high-temperature QCD plasmas
- The effect of shear and bulk viscosities on elliptic flow
- Shear-bulk coupling in nonconformal hydrodynamics
- Components of the elliptic flow in Pb-Pb collisions at 2.76 TeV
- Divergence-type 2+1 dissipative hydrodynamics applied to heavy-ion collisions
- Exact solutions and attractors of higher-order viscous fluid dynamics for Bjorken flow
- Closing the equations of motion of anisotropic fluid dynamics by a judicious choice of moment of the Boltzmann equation
- Constraining relativistic viscous hydrodynamical evolution
- How big are the smallest drops of quark-gluon plasma?
- Hydrodynamic attractor and the fate of perturbative expansions in Gubser flow
- Quasiparticle equation of state for anisotropic hydrodynamics
- 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
- Hydrodynamization and non-equilibrium Green's functions in kinetic theory
- Hydrodynamics from free-streaming to thermalization and back again
- Macroscopic approximation to relativistic kinetic theory from a nonlinear closure
- Hydrodynamic attractors for Gubser flow
- Hydrodynamic attractors in phase space
- Anisotropic hydrodynamic modeling of 200 GeV Au-Au collisions
- 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
- A hydrodynamic approach to boost invariant free streaming
- Conformal Bjorken flow in the general frame and its attractor: Similarities and discrepancies with the Müller-Israel-Stewart formalism
- Anisotropic-hydrodynamics approach to a quark-gluon fluid mixture
- Correspondence between Israel-Stewart and first-order casual and stable hydrodynamics for the boost-invariant massive case with zero baryon density
- Hydrodynamic generators in relativistic kinetic theory
- Far From Equilibrium Hydrodynamics and the Beam Energy Scan
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- Far-from-equilibrium attractors for massive kinetic theory in the relaxation time approximation
- Far-from-equilibrium attractors with Full Relativistic Boltzmann approach in 3+1 D: moments of distribution function and anisotropic flows
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