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Relativistic dissipative spin hydrodynamics from kinetic theory with a nonlocal collision term

Nora Weickgenannt1, David Wagner1, Enrico Speranza2, and Dirk H. Rischke1,3

  • 1Institute for Theoretical Physics, Goethe University, Max-von-Laue-Straße 1, D-60438 Frankfurt am Main, Germany
  • 2Illinois Center for Advanced Studies of the Universe and Department of Physics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA
  • 3Helmholtz Research Academy Hesse for FAIR, Campus Riedberg, Max-von-Laue-Straße 12, D-60438 Frankfurt am Main, Germany

Phys. Rev. D 106, L091901 – Published 14 November, 2022

DOI: https://doi.org/10.1103/PhysRevD.106.L091901

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.

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See Also

Relativistic second-order dissipative spin hydrodynamics from the method of moments

Nora Weickgenannt, David Wagner, Enrico Speranza, and Dirk H. Rischke
Phys. Rev. D 106, 096014 (2022)

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