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 timescales 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.
Relativistic dissipative spin hydrodynamics from kinetic theory with a nonlocal collision term / Weickgenannt, Nora; Wagner, David; Speranza, Enrico; Rischke, Dirk H.. - In: PHYSICAL REVIEW D. - ISSN 2470-0010. - ELETTRONICO. - 106:(2022), pp. L091901.1-L091901.8. [10.1103/physrevd.106.l091901]
Relativistic dissipative spin hydrodynamics from kinetic theory with a nonlocal collision term
Wagner, David;Speranza, Enrico;Rischke, Dirk H.
2022
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 timescales 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.| File | Dimensione | Formato | |
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