Damping of spin waves

Abstract

We show that, in ideal-spin hydrodynamics, the components of the spin tensor follow damped wave equations. The damping rate is related to nonlocal collisions of the particles in the fluid, which enter at first order in $\hslash$ in a semi-classical expansion. This rate provides an estimate for the timescale of spin equilibration and is computed by considering a system of spin-1/2 fermions interacting via a quartic self-interaction as well as via (screened) one-gluon exchange. It is found that the relaxation times of the components of the spin tensor can become very large compared to the usual dissipative timescales of the system. Our results suggest that the spin degrees of freedom in a heavy-ion collision may not be in equilibrium by the time of freeze-out, and thus should be treated dynamically.

13 pages, 1 figure

References in corpus (54)

• 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
• Global polarization of $\Lambda$ hyperons in Au+Au collisions at $\sqrt{s_{{}_{NN}}}$ = 200 GeV
• Relativistic fluid dynamics with spin
• Polarization probes of vorticity in heavy ion collisions
• Kinetic theory for massive spin-1/2 particles from the Wigner-function formalism
• 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
• Evidence of spin-orbital angular momentum interactions in relativistic heavy-ion collisions
• Generating spin polarization from vorticity through nonlocal collisions
• Nonlinear Responses of Chiral Fluids from Kinetic Theory
• Relativistic dissipative spin dynamics in the relaxation time approximation
• Spin Hydrodynamics and Symmetric Energy-Momentum Tensors -- A current induced by the spin vorticity --
• Hydrodynamics of spin currents
• From Chiral Kinetic Theory To Relativistic Viscous Spin Hydrodynamics
• Non-dissipative second-order transport, spin, and pseudo-gauge transformations in hydrodynamics
• Spin-dependent distribution functions for relativistic hydrodynamics of spin-1/2 particles
• 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
• Linear response theory of relativistic hydrodynamics with spin
• Causality and dissipation in relativistic polarizeable fluids
• Relativistic Spin Magnetohydrodynamics
• Spin polarization dynamics in the Gubser-expanding background
• Relativistic Viscous Hydrodynamics with Angular Momentum
• Relativistic dissipative spin hydrodynamics from kinetic theory with a nonlocal collision term
• Analytic solutions of relativistic dissipative spin hydrodynamics with Bjorken expansion
• Relativistic second-order spin hydrodynamics: an entropy-current analysis
• 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
• 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
• Spin relaxation rate for heavy quarks in weakly coupled QCD plasma
• Stability studies of first order spin-hydrodynamic frameworks
• 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
• Relaxation time for quark spin and thermal vorticity alignment in heavy-ion collisions
• Relativistic hydrodynamics with spin in the presence of electromagnetic fields
• Relaxation time for the alignment between the spin of a finite-mass quark/antiquark and the thermal vorticity in relativistic heavy-ion collisions
• Spin evolution of massive fermion in QED plasma
• Linear mode analysis from spin transport equation
• Lorentz-covariant kinetic theory for massive spin-1/2 particles
• Spin versus Helicity Equilibration Times and Lagrangian for Strange Quarks in Rotating Quark-Gluon Plasma
• The linear mode analysis and spin relaxation
• Linear response hydrodynamics of a relativistic dissipative fluid with spin
• Propagation of spin channel waves

Cited by in corpus (17)

• Resummed spin hydrodynamics from quantum kinetic theory
• Spin dynamics with realistic hydrodynamic background for relativistic heavy-ion collisions
• Generalized thermodynamic relations for perfect spin hydrodynamics
• An introduction to relativistic spin hydrodynamics
• Collisional corrections to spin polarization from quantum kinetic theory using Chapman-Enskog expansion
• Boost-invariant spin hydrodynamics with spin feedback effects
• Mean free path of photons in relativistic heavy ion collisions
• Spin Polarization of $\Lambda$ hyperons from Dissipative Spin Hydrodynamics
• Spin hydrodynamics -- recent developments
• Kubo formulas for spin polarization in dissipative relativistic spin hydrodynamics: a first-order gradient expansion approach
• Application range of perfect spin hydrodynamics
• Anisotropic linear waves and breakdown of the momentum expansion in spin magnetohydrodynamics
• Semi-Classical Spin Hydrodynamics in Flat and Curved Spacetime: Covariance, Linear Waves, and Bjorken Background
• Hybrid framework of Fermi-Dirac spin hydrodynamics
• Perfect spin hydrodynamics at all orders in spin polarization
• Nonlinear causality and stability of perfect spin hydrodynamics and its nonperturbative character
• Perfect spinfluid: A divergence-type approach