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Analytic solutions of relativistic dissipative spin hydrodynamics with Bjorken expansion

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arxiv 2107.11726 v1 pith:XSAXFUUP submitted 2021-07-25 nucl-th hep-ph

classification nucl-thhep-ph
keywords spindensitychemicalpotentialrelativisticsolutionsanalyticdissipative
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abstract

We have studied analytically the longitudinally boost-invariant motion of a relativistic dissipative fluid with spin. We have derived the analytic solutions of spin density and spin chemical potential as a function of proper time $\tau$ in the presence of viscous tensor and the second order relaxation time corrections for spin. Interestingly, analogous to the ordinary particle number density and chemical potential, we find that the spin density and spin chemical potential decay as $\sim\tau^{-1}$ and $\sim\tau^{-1/3}$, respectively. It implies that the initial spin density may not survive at the freezeout hyper-surface. These solutions can serve both to gain insight on the dynamics of spin polarization in relativistic heavy-ion collisions and as testbeds for further numerical codes.

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Cited by 4 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. Spin alignment of vector mesons in local equilibrium by Zubarev's approach

    hep-ph 2024-12 conditional novelty 6.0 of 10

    The spin alignment rho00-1/3 vanishes at first order in gradients in local equilibrium, with nonzero contributions first appearing at second order, in a pseudo-gauge dependent way.

  3. 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.

  4. Spin hydrodynamics

    hep-ph 2024-11 conditional novelty 2.0 of 10

    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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