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 (22)

• Angular momentum conservation in heavy ion collisions at very high energy
• Polarization probes of vorticity in heavy ion collisions
• Fate of spin polarization in a relativistic fluid: An entropy-current analysis
• Relativistic second-order dissipative spin hydrodynamics from the method of moments
• Relativistic Spin Magnetohydrodynamics
• Relativistic dissipative spin hydrodynamics from kinetic theory with a nonlocal collision term
• Relativistic second-order spin hydrodynamics: an entropy-current analysis
• Relativistic first-order spin hydrodynamics via the Chapman-Enskog expansion
• 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 relaxation rate for heavy quarks in weakly coupled QCD plasma
• Lorentz-covariant nonlocal collision term for spin-1/2 particles
• Analytic solutions of relativistic dissipative spin hydrodynamics with radial expansion in Gubser flow
• Relativistic hydrodynamics with spin in the presence of electromagnetic fields
• Spin evolution of massive fermion in QED plasma
• Lorentz-covariant kinetic theory for massive spin-1/2 particles
• Linear mode analysis from spin transport equation
• 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