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.

7 pages, 1 figure

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• Spin polarization and correlation of quarks from glasma
• Boost invariant spin hydrodynamics within the first order in derivative expansion
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• Spin dynamics with realistic hydrodynamic background for relativistic heavy-ion collisions
• Hyperon polarization and its relation with directed flow in high-energy nuclear collisions
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• Spin Polarization of $\Lambda$ hyperons from Dissipative Spin Hydrodynamics
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