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Hydrodynamics of spin currents

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arxiv 2101.04759 v3 pith:Y76EWSDJ submitted 2021-01-12 hep-th hep-phnucl-th

Hydrodynamics of spin currents

classification hep-th hep-phnucl-th
keywords spinequationshydrodynamicsmotionsetupagreementallowinganalysis
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study relativistic hydrodynamics in the presence of a non vanishing spin chemical potential. Using a variety of techniques we carry out an exhaustive analysis, and identify the constitutive relations for the stress tensor and spin current in such a setup, allowing us to write the hydrodynamic equations of motion to second order in derivatives. We then solve the equations of motion in a perturbative setup and find surprisingly good agreement with measurements of global $\Lambda$-hyperon polarization carried out at RHIC.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Exact expectation values in a boost-invariant fluid of Dirac fermions with finite spin density

    hep-th 2026-04 unverdicted novelty 6.0

    Exact calculations in a boost-invariant free Dirac fermion fluid show spin polarization arises only from finite spin potential, with shear-induced polarization and spin Hall effect absent.

  2. Carroll hydrodynamics with spin

    hep-th 2026-01 unverdicted novelty 6.0

    Carroll hydrodynamics with spin is obtained as the c→0 limit of relativistic hydrodynamics with spin, extending the description of boost-invariant flows.

  3. Pseudo-Gauge Stabilizers and Fibration Structure of the Cooper--Frye Map at Freeze-Out

    hep-th 2026-05 unverdicted novelty 5.0

    The Cooper-Frye map at freeze-out admits a stratified fibration induced by pseudo-gauge stabilizers, classifying observables and recovering the Belinfante-canonical obstruction.

  4. Attractors in a Generalized Relativistic Second Order Spin Hydrodynamics

    hep-ph 2026-05 unverdicted novelty 4.0

    Derives early-time fixed point structure and late-time asymptotics for spin density attractors in generalized second-order spin hydrodynamics using Zubarev's formalism in the spin probe limit.

  5. Spin dynamics and polarization in relativistic systems: recent developments

    nucl-th 2026-05 unverdicted novelty 1.0

    The review summarizes developments in spin hydrodynamics, polarization from spin-vorticity coupling, pseudo-gauge freedom, and heavy-flavor spin dynamics in relativistic systems.