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Gyrohydrodynamics: Relativistic spinful fluid with strong vorticity

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arxiv 2205.08051 v2 pith:A4FZ4IPK submitted 2022-05-17 hep-th hep-phnucl-th

Zheng Cao , Koichi Hattori , Masaru Hongo , Xu-Guang Huang , Hidetoshi Taya This is my paper · ORCID
classification hep-thhep-phnucl-th
keywords gyrohydrodynamicsspinanalysisfluidframeworkrelativisticstrongvorticity
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abstract

We develop a relativistic (quasi-)hydrodynamic framework, dubbed the gyrohydrodynamics, to describe fluid dynamics of many-body systems with spin under strong vorticity based on entropy-current analysis. This framework generalizes the recently-developed spin hydrodynamics to the regime where the spin density is at the leading order in derivatives but suppressed by another small parameter, the Planck constant $\hbar$, due to its quantum nature. Our analysis shows that the complete first-order constitutive relations of gyrohydrodynamics involve seventeen transport coefficients and are highly anisotropic.

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Cited by 6 Pith papers

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

  1. Local Spin Polarization in Anisotropic Gubser Flow: Suppression Mechanism and Formulation Dependence

    nucl-th 2026-08 conditional novelty 6.0 of 10

    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...

  2. Tensor spin polarization induced by curved freeze-out hypersurface

    hep-ph 2025-09 conditional novelty 6.0 of 10

    The curvature of the freeze-out hypersurface induces a tensor spin polarization of vector mesons at leading gradient order, with predicted phi-meson spin alignment around -10^-4 to -10^-3.

  3. Relativistic spin hydrodynamics with antisymmetric spin tensors and an extension of the Bargmann-Michel-Telegdi equation

    nucl-th 2025-06 conditional novelty 6.0 of 10

    A new entropy-principle formulation of relativistic spin hydrodynamics yields a modified BMT spin evolution equation and spin-induced transport corrections that map onto inverse and anomalous Hall effects.

  4. Vector and Tensor Spin Polarization for Vector Bosons at Local Equilibrium

    hep-ph 2024-12 conditional novelty 6.0 of 10

    Vector meson spin alignment at local equilibrium is shown to arise only at second order in thermodynamic gradients, with explicit analytic formulas for the contributing terms.

  5. Spin polarization of an expanding and rotating system

    nucl-th 2024-12 conditional novelty 6.0 of 10

    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.

  6. An introduction to relativistic spin hydrodynamics

    nucl-th 2024-11 accept novelty 1.0 of 10

    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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