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Relativistic dissipative spin hydrodynamics from kinetic theory with a nonlocal collision term
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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.
Forward citations
Cited by 8 Pith papers
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Local Spin Polarization in Anisotropic Gubser Flow: Suppression Mechanism and Formulation Dependence
In an anisotropic Gubser flow, the longitudinal spin polarization's sign depends on which shear formulation is used, and two popular formulations show exact or near-exact cancellation between vorticity and shear contr...
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Is the shear induced spin polarization non-dissipative?
Shear-induced spin polarization leaves the momentum-integrated entropy production rate unchanged in chiral kinetic theory, but Zubarev's linear response suggests a dissipative origin.
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On the local thermodynamic relations in relativistic spin hydrodynamics
For free fermions in rotating and accelerating global equilibrium, the derivative of pressure with respect to the spin potential differs from the spin density, and no entropy-gauge transformation can restore the stand...
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Generalized relativistic second-order spin hydrodynamics from Zubarev's non-equilibrium statistical operator
Second-order spin hydrodynamics is extended with nonlocal memory corrections, adding new acceleration-dependent terms to diffusion, rotational stress, and heat-current equations.
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Spin polarization of an expanding and rotating system
Derives closed equations for spin moments and a first-order longitudinal polarization formula for a boost-invariant, rotating relativistic fluid, connecting free streaming to hydrodynamics.
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Spin dynamics with realistic hydrodynamic background for relativistic heavy-ion collisions
Solving perfect spin hydrodynamics on a realistic 3+1D Au+Au background requires the spin evolution to start near 4 fm/c to describe Lambda polarization data.
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Local spin polarization of $\Lambda$ hyperons and its interaction corrections
The CLVisc hydrodynamic model reproduces the second sine Fourier coefficient of Lambda longitudinal polarization in Au+Au collisions but fails in p+Pb collisions; the paper also surveys quantum kinetic theory and spin...
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An introduction to relativistic spin hydrodynamics
A review that derives the constitutive equations of relativistic spin hydrodynamics from thermodynamics and surveys challenges like pseudo-gauge ambiguity and spin freeze-out.
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