Non-boost-invariant anisotropic dynamics

Abstract

We study the non-boost-invariant evolution of a quark-gluon plasma subject to large early-time momentum-space anisotropies. Rather than using the canonical hydrodynamical expansion of the distribution function around an isotropic equilibrium state, we expand around a state which is anisotropic in momentum space and parameterize this state in terms of three proper-time and spatial-rapidity dependent parameters. Deviations from the Bjorken scaling solutions are naturally taken into account by the time evolution of the spatial-rapidity dependence of the anisotropic ansatz. As a result, we obtain three coupled partial differential equations for the momentum-space anisotropy, the typical momentum of the degrees of freedom, and the longitudinal flow. Within this framework (0+1)-dimensional Bjorken expansion is obtained as an asymptotic limit. Finally, we make quantitative comparisons of the temporal and spatial-rapidity evolution of the dynamical parameters and resulting pressure anisotropy in both the strong and weak coupling limits.

23 pages, 8 figures; v2 - Correct typos and error in zeroth moment equation (Section 2.4.1); Numerical results only slightly affected, conclusions remains the the same

References in corpus (28)

• Dissipative Dynamics of Highly Anisotropic Systems
• Highly-anisotropic and strongly-dissipative hydrodynamics for early stages of relativistic heavy-ion collisions
• Recent results in relativistic heavy ion collisions: from ``a new state of matter'' to "the perfect fluid"
• The heavy-quark potential in an anisotropic plasma
• Instabilities of an anisotropically expanding non-Abelian plasma: 1D+3V discretized hard-loop simulations
• Pre-equilibrium dilepton production from an anisotropic quark-gluon plasma
• Transport rates and momentum isotropization of gluon matter in ultrarelativistic heavy-ion collisions
• Bottom-up isotropization in classical-statistical lattice gauge theory
• The imaginary part of the static gluon propagator in an anisotropic (viscous) QCD plasma
• Quarkonium states in an anisotropic QCD plasma
• Non-abelian plasma instabilities for strong anisotropy
• Photon production from an anisotropic quark-gluon plasma
• Relativistic Dynamics of Non-ideal Fluids: Viscous and heat-conducting fluids II. Transport properties and microscopic description of relativistic nuclear matter
• Constraining relativistic viscous hydrodynamical evolution
• Jet quenching and broadening: the transport coefficient $\hat{q}$ in an anisotropic plasma
• Measuring Quark-Gluon-Plasma Thermalization Time with Dileptons
• Dilepton production from a viscous QGP
• The Heavy Quark Potential as a Function of Shear Viscosity at Strong Coupling
• Longitudinal fluid dynamics for ultrarelativistic heavy-ion collisions
• Suppression of forward dilepton production from an anisotropic quark-gluon plasma
• Photon polarization as a probe for quark-gluon plasma dynamics
• Quarkonia in anisotropic hot QCD medium in a quasi-particle model
• Measuring the isotropization time of quark-gluon plasma from direct photons at energies available at the BNL Relativistic Heavy Ion Collider (RHIC)
• On quarkonium in an anisotropic quark gluon plasma
• Radiative energy loss in an anisotropic Quark-Gluon-Plasma
• 1+1 Dimensional Hydrodynamics for High-energy Heavy-ion Collisions
• Evidence for the Onset of Deconfinement from Longitudinal Momentum Distributions? Observation of the Softest Point of the Equation of State
• On the imaginary part of the next-to-leading-order static gluon self-energy in an anisotropic plasma

Cited by in corpus (83)

• Hydrodynamic Modeling of Heavy-Ion Collisions
• Violation of the Holographic Viscosity Bound in a Strongly Coupled Anisotropic Plasma
• Thermodynamics and Instabilities of a Strongly Coupled Anisotropic Plasma
• The anisotropic N=4 super Yang-Mills plasma and its instabilities
• Thermal Bottomonium Suppression at RHIC and LHC
• Testing viscous and anisotropic hydrodynamics in an exactly solvable case
• Boost-Invariant (2+1)-dimensional Anisotropic Hydrodynamics
• Anisotropic Hydrodynamics for Rapidly Expanding Systems
• Second-order (2+1)-dimensional anisotropic hydrodynamics
• Highly-anisotropic hydrodynamics in 3+1 space-time dimensions
• Quarkonia in the Quark Gluon Plasma
• Thermal Upsilon(1s) and chi_b1 suppression in sqrt(s_NN)=2.76 TeV Pb-Pb collisions at the LHC
• Studying the validity of relativistic hydrodynamics with a new exact solution of the Boltzmann equation
• Instabilities of an anisotropically expanding non-Abelian plasma: 3D+3V discretized hard-loop simulations
• Exact solution of the (0+1)-dimensional Boltzmann equation for a massive gas
• Derivation of anisotropic dissipative fluid dynamics from the Boltzmann equation
• Bulk viscous evolution within anisotropic hydrodynamics
• Drag force in a strongly coupled anisotropic plasma
• Bottomonium suppression using a lattice QCD vetted potential
• Projection method and new formulation of leading-order anisotropic hydrodynamics
• Highly-anisotropic and strongly-dissipative hydrodynamics with transverse expansion
• Shear-bulk coupling in nonconformal hydrodynamics
• Hydrodynamics of simply spinning black holes & hydrodynamics for spinning quantum fluids
• Dissociation of Quarkonium in a Complex Potential
• Closing the equations of motion of anisotropic fluid dynamics by a judicious choice of moment of the Boltzmann equation
• Anisotropic hydrodynamics for conformal Gubser flow
• Quasiparticle equation of state for anisotropic hydrodynamics
• Dynamical systems and nonlinear transient rheology of the far-from-equilibrium Bjorken flow
• Anisotropic plasma at finite $U(1)$ chemical potential
• Chiral hydrodynamics in strong external magnetic fields
• Leading-order anisotropic hydrodynamics for central collisions
• Leading-order anisotropic hydrodynamics for systems with massive particles
• Jet quenching in a strongly coupled anisotropic plasma
• Anisotropic matching principle for the hydrodynamics expansion
• Thermal photon production in a strongly coupled anisotropic plasma
• Quarkonium dissociation by anisotropy
• Electromagnetic signatures of a strongly coupled anisotropic plasma
• Anisotropic fluid dynamics for Gubser flow
• Hydrodynamics of anisotropic quark and gluon fluids
• Projection method for boost-invariant and cylindrically symmetric dissipative hydrodynamics
• Electrical Conductivity of an Anisotropic Quark Gluon Plasma : A Quasiparticle Approach
• Quasiparticle anisotropic hydrodynamics for central collisions
• Photon production from a non-equilibrium quark-gluon plasma
• Dilepton production from the quark-gluon plasma using (3+1)-dimensional anisotropic dissipative hydrodynamics
• EMMI Rapid Reaction Task Force on "Thermalization in Non-abelian Plasmas"
• Anisotropic Hydrodynamics: Motivation and Methodology
• Holographic quark-antiquark potential in hot, anisotropic Yang-Mills plasma
• A hydrodynamic approach to boost invariant free streaming
• Testing different formulations of leading-order anisotropic hydrodynamics
• Anisotropic fluid dynamical simulations of heavy-ion collisions
• Initial state and thermalization in the Color Glass Condensate framework
• Initial State Quantum Fluctuations in the Little Bang
• Kinetic evolution of the glasma and thermalization in heavy ion collisions
• Non-boost-invariant dissipative hydrodynamics
• Chromoelectric oscillations in a dynamically evolving anisotropic background
• Brighter Branes, enhancement of photon production by strong magnetic fields in the gauge/gravity correspondence
• Flow in heavy-ion collisions - Theory Perspective
• (3+1)-dimensional framework for leading-order non conformal anisotropic hydrodynamics
• Light Probes in a Strongly Coupled Anisotropic Plasma
• Drag force in strongly coupled, anisotropic plasma at finite chemical potential
• Evolution of pressures and correlations in the Glasma produced in high energy nuclear collisions
• Drag and Diffusion of Heavy Quarks in a hot and anisotropic QCD medium
• Quark self-energy in an ellipsoidally anisotropic quark-gluon plasma
• Holographic Schwinger effect and electric instability with anisotropy
• Anisotropic hydrodynamics
• Thermodynamics and phase diagram of anisotropic Chern-Simons deformed gauge theories
• Holographic study on the jet quenching parameter in anisotropic systems
• Relativistic second-order dissipative and anisotropic fluid dynamics in the relaxation-time approximation for an ideal gas of massive particles
• Holographic ${\mathrm{QCD}}_3$ and Chern-Simons theory from anisotropic supergravity
• Sound propagation and Mach cone in anisotropic hydrodynamics
• Holographic charge transport in non commutative gauge theories
• A non-boost-invariant solution of relativistic hydrodynamics in 1+3 dimensions
• Metric anisotropies and emergent anisotropic hydrodynamics
• Transport coefficients in second-order non-conformal viscous hydrodynamics
• Bottomonia in the Quark Gluon Plasma
• Metric anisotropies and nonequilibrium attractor for expanding plasma
• Thermal noise in non-boost-invariant dissipative hydrodynamics
• Non-conformal evolution of magnetic fields during reheating
• Hard gluon evolution in the last stage of the bottom-up thermalization
• Far-from-equilibrium hydrodynamic simulations of ultrarelativistic nuclear collisions
• Anisotropic hydrodynamics -- basic concepts
• Bottomonia suppression in an anisotropic quark-gluon plasma
• Viscous anisotropic hydrodynamics for the Gubser flow