Relativistic dissipative spin hydrodynamics from kinetic theory with a nonlocal collision term

Abstract

We derive relativistic dissipative spin hydrodynamics from kinetic theory featuring a nonlocal collision term using the method of moments. In this framework, the components of the spin tensor are dynamical variables which obey relaxation-type equations. We find that the corresponding relaxation times are determined by the local part of the collision term, while the nonlocal part contributes to the Navier-Stokes terms in these equations of motion. The spin relaxation time scales are comparable to those of the usual dissipative currents. Finally, the Navier-Stokes limit of the Pauli-Lubanski vector receives contributions proportional to the shear tensor of the fluid, which implies that the polarization of hadrons observed in heavy-ion collisions is influenced by dissipative effects.

arXiv comment7 pages, 1 figure

References in corpus (79)

• Collective flow and viscosity in relativistic heavy-ion collisions
• Global $\Lambda$ hyperon polarization in nuclear collisions: evidence for the most vortical fluid
• Derivation of transient relativistic fluid dynamics from the Boltzmann equation
• Globally Polarized Quark-gluon Plasma in Non-central A+A Collisions
• Angular momentum conservation in heavy ion collisions at very high energy
• Relativistic distribution function for particles with spin at local thermodynamical equilibrium
• Global polarization of $\Lambda$ hyperons in Au+Au collisions at $\sqrt{s_{{}_{NN}}}$ = 200 GeV
• New theories of relativistic hydrodynamics in the LHC era
• Global hyperon polarization at local thermodynamic equilibrium with vorticity, magnetic field and feed-down
• Relativistic fluid dynamics with spin
• Study of Lambda polarization in relativistic nuclear collisions at sqrt{s}_NN = 7.7-200 GeV
• Polarization probes of vorticity in heavy ion collisions
• A study of vorticity formation in high energy nuclear collisions
• Collective longitudinal polarization in relativistic heavy-ion collisions at very high energy
• Polarization and Vorticity in the Quark Gluon Plasma
• Kinetic theory for massive spin-1/2 particles from the Wigner-function formalism
• Relativistic hydrodynamics for spin-polarized fluids
• Vortical fluid and $\Lambda$ spin correlations in high-energy heavy-ion collisions
• Shear-induced spin polarization in heavy-ion collisions
• Lambda Polarization in Peripheral Heavy Ion Collisions
• Fate of spin polarization in a relativistic fluid: An entropy-current analysis
• Local polarization and isothermal local equilibrium in relativistic heavy ion collisions
• Generating spin polarization from vorticity through nonlocal collisions
• Spin-thermal shear coupling in a relativistic fluid
• Global $\Lambda$ Polarization in high energy collisions
• Nonlinear Responses of Chiral Fluids from Kinetic Theory
• Relativistic dissipative spin dynamics in the relaxation time approximation
• Relativistic Quantum Kinetic Theory for Massive Fermions and Spin Effects
• Spin Hydrodynamics and Symmetric Energy-Momentum Tensors -- A current induced by the spin vorticity --
• Hydrodynamics of spin currents
• Axial Kinetic Theory and Spin Transport for Fermions with Arbitrary Mass
• Spin polarization induced by the hydrodynamic gradients
• Non-dissipative second-order transport, spin, and pseudo-gauge transformations in hydrodynamics
• From Chiral Kinetic Theory To Relativistic Viscous Spin Hydrodynamics
• The ideal relativistic fluid limit for a medium with polarization
• Spin-dependent distribution functions for relativistic hydrodynamics of spin-1/2 particles
• Derivation of fluid dynamics from kinetic theory with the 14--moment approximation
• Derivation of the nonlocal collision term in the relativistic Boltzmann equation for massive spin-1/2 particles from quantum field theory
• Dissipative Spin Dynamics in Relativistic Matter
• Thermodynamic versus kinetic approach to polarization-vorticity coupling
• Local spin polarization in high energy heavy ion collisions
• Spin tensor and pseudo-gauges: from nuclear collisions to gravitational physics
• From Kadanoff--Baym to Boltzmann equations for massive spin-1/2 fermions
• Reexamination of local spin polarization beyond global equilibrium in relativistic heavy ion collisions
• Mass Correction to Chiral Kinetic Equations
• Effective quantum kinetic theory for spin transport of fermions with collsional effects
• Spin polarization evolution in a boost invariant hydrodynamical background
• Spin Polarizations in a Covariant Angular-Momentum-Conserved Chiral Transport Model
• Covariant Spin Kinetic Theory I: Collisionless Limit
• Feed-down effect on $\Lambda$ spin polarization
• Linear response theory of relativistic hydrodynamics with spin
• Longitudinal spin polarization in a thermal model
• Causality and dissipation in relativistic polarizeable fluids
• Quantum Kinetic Theory of Spin Polarization of Massive Quarks in Perturbative QCD: Leading Log
• Polarization transfer in hyperon decays and its effect in relativistic nuclear collisions
• Hydrodynamics of simply spinning black holes & hydrodynamics for spinning quantum fluids
• Spin polarization dynamics in the Gubser-expanding background
• Analytic solutions of relativistic dissipative spin hydrodynamics with Bjorken expansion
• A microscopic description for polarization in particle scatterings
• Azimuthal angle dependence of the longitudinal spin polarization in relativistic heavy ion collisions
• Perfect-fluid hydrodynamics with constant acceleration along the stream lines and spin polarization
• Relativistic first-order spin hydrodynamics via the Chapman-Enskog expansion
• Relaxation Time for Strange Quark Spin in Rotating Quark-Gluon Plasma
• Holographic spin liquids and Lovelock Chern-Simons gravity
• Local Equilibrium Spin Distribution From Detailed Balance
• Zilch Vortical Effect, Berry Phase, and Kinetic Theory
• Gyrohydrodynamics: Relativistic spinful fluid with strong vorticity
• Pseudogauge dependence of the spin polarization and of the axial vortical effect
• Pseudo-gauges and relativistic spin hydrodynamics for interacting Dirac and Proca fields
• Spin Polarization Formula for Dirac Fermions at Local Equilibrium
• Quantum kinetic theory for dynamical spin polarization from QED-type interaction
• Spin relaxation rate for heavy quarks in weakly coupled QCD plasma
• Spin polarization dynamics in the non-boost-invariant background
• New Developments in Relativistic Fluid Dynamics with spin
• Is Hyperon Polarization in Relativistic Heavy Ion Collisions Connected to Axial U(1) Symmetry Breaking at High Temperature?
• Relaxation time for quark spin and thermal vorticity alignment in heavy-ion collisions
• Relaxation time for the alignment between the spin of a finite-mass quark/antiquark and the thermal vorticity in relativistic heavy-ion collisions
• Linear mode analysis from spin transport equation
• Spin versus Helicity Equilibration Times and Lagrangian for Strange Quarks in Rotating Quark-Gluon Plasma

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• Dense Nuclear Matter Equation of State from Heavy-Ion Collisions
• The Present and Future of QCD
• Relativistic second-order spin hydrodynamics: an entropy-current analysis
• Theories of Relativistic Dissipative Fluid Dynamics
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• Stability studies of first order spin-hydrodynamic frameworks
• Lorentz-covariant nonlocal collision term for spin-1/2 particles
• Spin alignment of vector mesons by second-order hydrodynamic gradients
• Damping of spin waves
• Spin polarization and correlation of quarks from glasma
• Boost invariant spin hydrodynamics within the first order in derivative expansion
• Resummed spin hydrodynamics from quantum kinetic theory
• Spin dynamics with realistic hydrodynamic background for relativistic heavy-ion collisions
• Hyperon polarization and its relation with directed flow in high-energy nuclear collisions
• An introduction to relativistic spin hydrodynamics
• Collisional corrections to spin polarization from quantum kinetic theory using Chapman-Enskog expansion
• Emergent Canonical Spin Tensor in the Chiral-Symmetric Hot QCD
• Relativistic second-order spin hydrodynamics: A Kubo-type formulation for the quark-gluon plasma
• Spin Polarization of $\Lambda$ hyperons from Dissipative Spin Hydrodynamics
• Polarization of spin-1/2 particles with effective spacetime dependent masses
• Kubo formulas for spin polarization in dissipative relativistic spin hydrodynamics: a first-order gradient expansion approach
• Estimating Longitudinal Polarization of $\Lambda$ and $\bar{\Lambda }$ Hyperons at Relativistic Energies using Hydrodynamic and Transport models
• Semi-Classical Spin Hydrodynamics in Flat and Curved Spacetime: Covariance, Linear Waves, and Bjorken Background
• On the local thermodynamic relations in relativistic spin hydrodynamics