Spin polarization evolution in a boost invariant hydrodynamical background

Abstract

Relativistic hydrodynamic equations for particles with spin one-half are used to determine the space-time evolution of the spin polarization in a boost-invariant and transversely homogeneous background. The hydrodynamic approach uses the forms of the energy-momentum and spin tensors based on de Groot, van Leeuwen, and van Weert formalism. Our calculations illustrate how the formalism of hydrodynamics with spin can be used to determine physical observables related to the spin polarization and how the latter can be compared with the experimental data.

12 pages, 7 figures

References in corpus (35)

• Hydrodynamics with Triangle Anomalies
• Global $\Lambda$ hyperon polarization in nuclear collisions: evidence for the most vortical fluid
• 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
• Testing the chiral magnetic and chiral vortical effects in heavy ion collisions
• Spin Alignment of Vector Mesons in Non-central A+A Collisions
• 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
• Collective longitudinal polarization in relativistic heavy-ion collisions at very high energy
• Global quark polarization in non-central $A+A$ collisions
• Lambda Polarization in Peripheral Heavy Ion Collisions
• Global polarization measurement in Au+Au collisions
• Spin tensor and its role in non-equilibrium thermodynamics
• Spin-dependent distribution functions for relativistic hydrodynamics of spin-1/2 particles
• The ideal relativistic fluid limit for a medium with polarization
• Thermodynamic versus kinetic approach to polarization-vorticity coupling
• The ideal relativistic spinning gas: polarization and spectra
• The ideal relativistic rotating gas as a perfect fluid with spin
• Global and local polarization of $\Lambda$ hyperons in Au+Au collisions at 200 GeV from STAR
• Causality and dissipation in relativistic polarizeable fluids
• Quantum corrections to the stress-energy tensor in thermodynamic equilibrium with acceleration
• Sound waves and vortices in a polarized relativistic fluid
• Relativistic Fluid Dynamics In and Out of Equilibrium -- Ten Years of Progress in Theory and Numerical Simulations of Nuclear Collisions
• 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
• Vorticity and particle polarization in heavy ion collisions (experimental perspective)
• Polarized secondary particles in unpolarized high energy hadron-hadron collisions?
• A general derivation of differential cross section in quark-quark scatterings at fixed impact parameter
• Relativistic hydrodynamics with spin
• Kinetic approach to polarization-vorticity coupling and hydrodynamics with spin

Cited by in corpus (65)

• Polarization and Vorticity in the Quark Gluon Plasma
• Shear-induced spin polarization in heavy-ion collisions
• 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
• Hydrodynamics of spin currents
• 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
• Relativistic second-order dissipative spin hydrodynamics from the method of moments
• Spin tensor and pseudo-gauges: from nuclear collisions to gravitational physics
• Spin Polarizations in a Covariant Angular-Momentum-Conserved Chiral Transport Model
• Longitudinal spin polarization in a thermal model
• Foundations and Applications of Quantum Kinetic Theory
• Spin Hall effect in heavy ion collisions
• Relativistic Spin Magnetohydrodynamics
• Spin polarization dynamics in the Gubser-expanding background
• Relativistic dissipative spin hydrodynamics from kinetic theory with a nonlocal collision term
• Analytic solutions of relativistic dissipative spin hydrodynamics with Bjorken expansion
• Local and global polarization of $\Lambda$ hyperons across RHIC-BES energies: the roles of spin hall effect, initial condition and baryon diffusion
• Polarization in relativistic fluids: a quantum field theoretical derivation
• Canonical and phenomenological formulations of spin hydrodynamics
• Pseudo-gauges and relativistic spin hydrodynamics for interacting Dirac and Proca fields
• Quantum kinetic theory for dynamical spin polarization from QED-type interaction
• Stability studies of first order spin-hydrodynamic frameworks
• Spin polarization dynamics in the non-boost-invariant background
• New Developments in Relativistic Fluid Dynamics with spin
• Lorentz-covariant nonlocal collision term for spin-1/2 particles
• Analytic solutions of relativistic dissipative spin hydrodynamics with radial expansion in Gubser flow
• Hydrodynamic helicity polarization in relativistic heavy ion collisions
• Relativistic hydrodynamics with spin in the presence of electromagnetic fields
• Dynamics of QCD Matter -- current status
• Hybrid approach to perfect and dissipative spin hydrodynamics
• Spin polarization dynamics in the Bjorken-expanding resistive MHD background
• Boost invariant spin hydrodynamics within the first order in derivative expansion
• Lorentz-covariant kinetic theory for massive spin-1/2 particles
• Spin waves in spin hydrodynamics
• Anomalous magnetohydrodynamics with temperature-dependent electric conductivity and application to the global polarization
• Spin dynamics with realistic hydrodynamic background for relativistic heavy-ion collisions
• Generalized thermodynamic relations for perfect spin hydrodynamics
• The effect of hadronic scatterings on the measurement of vector meson spin alignments in heavy-ion collisions
• Effect of Coriolis Force on Electrical Conductivity Tensor for Rotating Hadron Resonance Gas
• Relativistic quantum fluid with boost invariance
• Boost-invariant spin hydrodynamics with spin feedback effects
• Effect of the Coriolis force on the electrical conductivity of quark matter: A nonrelativistic description
• Collective dynamics of polarized spin-half fermions in relativistic heavy-ion collisions
• Effect of Coriolis force on the shear viscosity of quark matter: A nonrelativistic description
• Signatures of the vortical quark-gluon plasma in hadron yields
• Spin Polarization of $\Lambda$ hyperons from Dissipative Spin Hydrodynamics
• Polarization of spin-1/2 particles with effective spacetime dependent masses
• Polarized baryon production in heavy ion collisions: an analytic hydrodynamical study
• Estimating Longitudinal Polarization of $\Lambda$ and $\bar{\Lambda }$ Hyperons at Relativistic Energies using Hydrodynamic and Transport models
• Application range of perfect spin hydrodynamics
• Semi-Classical Spin Hydrodynamics in Flat and Curved Spacetime: Covariance, Linear Waves, and Bjorken Background
• Local spin polarizations in relativistic heavy ion collisions
• Hydrodynamics of massive particles with spin 1/2
• Hydrodynamics with spin --- recent developments
• On the non-uniqueness of the energy-momentum and spin currents
• Dissipative effects on the propagation of spin modes
• Theoretical aspects of relativistic spin hydrodynamics coupled with electromagnetic fields
• Guiding center hydrodynamics with spin
• Perfect spinfluid: A divergence-type approach
• On the local thermodynamic relations in relativistic spin hydrodynamics
• Impact of spin polarization on transport and thermodynamic coefficients
• Practical considerations for the effect of finite coverage on the azimuthal dependence of global spin alignment
• Study of spin polarization dependence on rapidity, transverse momentum, and azimuthal angle