Dissipative effects on the propagation of spin modes

Abstract

In relativistic hydrodynamics with spin, following de Groot--van Leeuwen--van Weert's energy-momentum and spin tensor definitions, we analyze the propagation of spin degrees of freedom. We deduce an analytical formula for spin wave velocity, finding that it approaches half the speed of light in the ultra-relativistic limit. Only transverse degrees of freedom propagate, similar to electromagnetic waves. Additionally, we explore dissipative effects and determine the damping coefficients for Maxwell-Jüttner statistics.

References in corpus (33)

• Hydrodynamics with Triangle Anomalies
• Global $\Lambda$ hyperon polarization in nuclear collisions: evidence for the most vortical fluid
• Chiral Magnetic Wave
• Spin Alignment of Vector Mesons in Non-central A+A Collisions
• Relativistic fluid dynamics with spin
• Polarization of $\Lambda$ ($\bar{\Lambda }$) hyperons along the beam direction in Au+Au collisions at $\sqrt{s_{{}_{NN}}}$ = 200 GeV
• Collective longitudinal polarization in relativistic heavy-ion collisions at very high energy
• Global quark polarization in non-central $A+A$ collisions
• Relativistic hydrodynamics for spin-polarized fluids
• Shear-induced spin polarization in heavy-ion collisions
• 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
• Spin-thermal shear coupling in a relativistic fluid
• Relativistic dissipative spin dynamics in the relaxation time approximation
• Global polarization of $\Lambda$ and $\overline{\Lambda }$ hyperons in Pb-Pb collisions at the LHC
• 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
• Thermodynamic versus kinetic approach to polarization-vorticity coupling
• Chiral vortical wave and induced flavor charge transport in a rotating quark-gluon plasma
• Spin polarization evolution in a boost invariant hydrodynamical background
• Spin polarization dynamics in the Gubser-expanding background
• Non-equilibrium Chiral Magnetic/Vortical Effects in Viscous Fluids
• Local Equilibrium Spin Distribution From Detailed Balance
• Spin polarization dynamics in the non-boost-invariant background
• Relativistic hydrodynamics with spin in the presence of electromagnetic fields
• A general derivation of differential cross section in quark-quark scatterings at fixed impact parameter
• Spin polarization dynamics in the Bjorken-expanding resistive MHD background
• Study of transport coefficients in ultrarelativistic kinetic theory
• Phase diagram of helically imbalanced QCD matter
• Collective dynamics of polarized spin-half fermions in relativistic heavy-ion collisions
• Stability and causality criteria in linear mode analysis: stability means causality