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Damping of spin waves

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arxiv 2405.00533 v3 pith:DUHATODO submitted 2024-05-01 nucl-th hep-th

classification nucl-thhep-th
keywords spincomponentsdampingratesystemtensorbecomecollision
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We show that, in ideal-spin hydrodynamics, the components of the spin tensor follow damped wave equations. The damping rate is related to nonlocal collisions of the particles in the fluid, which enter at first order in $\hbar$ in a semi-classical expansion. This rate provides an estimate for the timescale of spin equilibration and is computed by considering a system of spin-1/2 fermions interacting via a quartic self-interaction as well as via (screened) one-gluon exchange. It is found that the relaxation times of the components of the spin tensor can become very large compared to the usual dissipative timescales of the system. Our results suggest that the spin degrees of freedom in a heavy-ion collision may not be in equilibrium by the time of freeze-out, and thus should be treated dynamically.

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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. Nonlinear causality and stability of perfect spin hydrodynamics and its nonperturbative character

    hep-ph 2025-11 accept novelty 6.0 of 10

    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.

  2. Dynamics of Hot QCD Matter 2024 -- Bulk Properties

    nucl-th 2024-12 conditional novelty 5.0 of 10

    This proceedings volume collects 19 conference contributions on the bulk properties of hot QCD matter, mostly extending established models and comparing them with lattice QCD and heavy-ion 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. Theory Summary

    nucl-th 2025-09 unverdicted

    A conference summary paper reports selected theory results from Quark Matter 2025 in heavy-ion physics, with no new original research.

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