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Stability and causality of rest frame modes in second-order spin hydrodynamics

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arxiv 2403.04711 v2 pith:YM3L2NQF submitted 2024-03-07 hep-ph math-phmath.MPnucl-th

Asaad Daher , Wojciech Florkowski , Radoslaw Ryblewski , Farid Taghinavaz This is my paper · ORCID
classification hep-phmath-phmath.MPnucl-th
keywords spincausalityhydrodynamicsmodesasymptoticcomponentsearlierframe
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We analyze the low- and high-momentum rest frame modes in the second-order spin hydrodynamics and check the asymptotic causality of the theory. A truncation scheme of the Israel-Stewart formalism derived in our earlier work is proposed that extends the minimal causal formulation. It consists of altogether 40 interconnected relaxation-type dynamical equations -- 16 (24) of them correspond to the independent components of the energy-momentum (spin) tensor. Similarly to previous studies, we find that the stability of the perturbations and asymptotic causality require using the spin equation of state that satisfies the generalized Frenkel condition demanding that the ``electric'' and ``magnetic'' components of the spin density tensor have opposite signs. For low-momentum modes this behavior is similar to that found earlier for the first-order (Navier-Stokes) spin hydrodynamics.

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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. 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.

  2. Spin dynamics with realistic hydrodynamic background for relativistic heavy-ion collisions

    hep-ph 2024-11 conditional novelty 6.0 of 10

    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.

  3. 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.

  4. 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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