Anisotropic matching principle for the hydrodynamics expansion

Abstract

Following the recent success of anisotropic hydrodynamics we propose a new, general prescription for the hydrodynamics expansion around an anisotropic background. The anisotropic distribution is fixing exactly the complete energy-momentum tensor, just like the effective temperature is fixing the proper energy density in the ordinary expansion around local equilibrium. This means that momen- tum anisotropies are already included at the leading order, allowing for large pressure anisotropies without the need of a next to leading order treatment. The first moment of the Boltzmann equation (local four-momentum conservation) provides the time evolution of the proper energy density and the four velocity. Differently from previous prescriptions, the dynamic equations for the pressure corrections are not derived from the zeroth or second moment of the Boltzmann equation, but they are taken directly from the exact evolution given by the Boltzmann equation. We check the effec- tiveness of this new approach by matching with the exact solution of the Boltzmann equation in the Bjorken limit with the collisional kernel treated in relaxation time approximation, finding an unprecedented agreement.

References in corpus (27)

• 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
• Dissipative Dynamics of Highly Anisotropic Systems
• Highly-anisotropic and strongly-dissipative hydrodynamics for early stages of relativistic heavy-ion collisions
• Dissipative Hydrodynamics and Heavy Ion Collisions
• 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
• Anisotropic flow in sqrt(s)=2.76 TeV Pb+Pb collisions at the LHC
• Boost-Invariant (2+1)-dimensional Anisotropic Hydrodynamics
• Particle spectra in Pb-Pb collisions at 2.76 TeV
• Second order hydrodynamic coefficients from kinetic theory
• A numerical relativity approach to the initial value problem in asymptotically Anti-de Sitter spacetime for plasma thermalization - an ADM formulation
• Highly-anisotropic hydrodynamics in 3+1 space-time dimensions
• Local thermodynamical equilibrium and the beta frame for a quantum relativistic fluid
• Transport coefficients for bulk viscous evolution in the relaxation time approximation
• Non-boost-invariant motion of dissipative and highly anisotropic fluid
• Bulk viscous evolution within anisotropic hydrodynamics
• 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
• Relativistic third-order viscous corrections to the entropy four-current from kinetic theory
• Anisotropic hydrodynamics for conformal Gubser flow
• Leading-order anisotropic hydrodynamics for systems with massive particles
• Hydrodynamics of anisotropic quark and gluon fluids
• Testing different formulations of leading-order anisotropic hydrodynamics
• Chromoelectric oscillations in a dynamically evolving anisotropic background

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• Multi-system Bayesian constraints on the transport coefficients of QCD matter
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• 3+1d quasiparticle anisotropic hydrodynamics for ultrarelativistic 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
• Anisotropic hydrodynamic modeling of 2.76 TeV Pb-Pb collisions
• Gradient expansion for anisotropic hydrodynamics
• Anisotropic fluid dynamics for Gubser flow
• On non-conformal kinetic theory and hydrodynamics for Bjorken flow
• On higher order and anisotropic hydrodynamics for Bjorken and Gubser flows
• Anisotropic hydrodynamic modeling of 200 GeV Au-Au collisions
• Anisotropic hydrodynamics with a scalar collisional kernel
• Bulk observables at 5.02 TeV using quasiparticle anisotropic hydrodynamics
• (3+1)-dimensional anisotropic fluid dynamics with a lattice QCD equation of state
• Anisotropic fluid dynamical simulations of heavy-ion collisions
• Exploring the applicability of dissipative fluid dynamics to small systems by comparison to the Boltzmann equation
• Non-boost-invariant dissipative hydrodynamics
• Primordial gravitational waves amplification from causal fluids
• Correspondence between Israel-Stewart and first-order casual and stable hydrodynamics for the boost-invariant massive case with zero baryon density
• Including off-diagonal anisotropies in anisotropic hydrodynamics
• Relaxation time approximation with pair production and annihilation processes
• Causal Relativistic Hydrodynamics of Conformal Fermi-Dirac Gases
• Relativistic second-order dissipative and anisotropic fluid dynamics in the relaxation-time approximation for an ideal gas of massive particles
• The right choice of moment for anisotropic fluid dynamics
• A resummed method of moments for the relativistic hydrodynamic expansion
• Thermalization & hydrodynamics in Bjorken & Gubser flows
• Recent progress in anisotropic hydrodynamics
• Relativistic BGK hydrodynamics
• Bottomonia suppression in an anisotropic quark-gluon plasma
• Extended applicability domain of viscous anisotropic hydrodynamics in (2+1)-D Bjorken flow with transverse expansion
• Quantifying the Quark Gluon Plasma