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Generating spin polarization from vorticity through nonlocal collisions
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abstract
We derive the collision term in the Boltzmann equation using the equation of motion for the Wigner function of massive spin-1/2 particles. To next-to-lowest order in $\hbar$ it contains a nonlocal contribution, which is responsible for the conversion of orbital into spin angular momentum. In a proper choice of pseudo-gauge the antisymmetric part of the energy-momentum tensor arises solely from this nonlocal contribution. We show that the collision term vanishes only in global equilibrium and that the spin potential is then equal to the thermal vorticity. In the nonrelativistic limit, the equations of motion for the energy-momentum and spin tensors reduce to the well-known form for hydrodynamics for micropolar fluids.
Forward citations
Cited by 5 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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Nonlinear causality and stability of perfect spin hydrodynamics and its nonperturbative character
All four studied formulations of perfect spin hydrodynamics satisfy divergence-type structure and are nonlinearly causal and stable when exact, nonperturbative distribution functions are used.
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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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Causality of polarizeable dissipative fluids from Lagrangian hydrodynamics
In a Lagrangian model of polarized dissipative fluids, causality couples the spin, shear, and bulk relaxation times through inequalities that can make polarization mask viscosity.
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Spin hydrodynamics
The paper proposes a hybrid perfect and dissipative spin hydrodynamics built on generalized tensor thermodynamic relations, but it contains no new derivation beyond the cited prior works.
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