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Thermodynamic stability in relativistic viscous and spin hydrodynamics

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arxiv 2405.03105 v2 pith:GZCW7SDQ submitted 2024-05-06 nucl-th hep-phhep-th

Xiang Ren , Chen Yang , Dong-Lin Wang , Shi Pu This is my paper · ORCID
classification nucl-thhep-phhep-th
keywords stabilitythermodynamicanalysisviscoushydrodynamicsconditionslinearmode
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We have applied thermodynamic stability analysis to derive the stability and causality conditions for conventional relativistic viscous hydrodynamics and spin hydrodynamics. We obtain the thermodynamic stability conditions for second-order relativistic hydrodynamics with shear and bulk viscous tensors, finding them identical to those derived from linear mode analysis. We then derive the thermodynamic stability conditions for minimal causal extended second-order spin hydrodynamics in canonical form, both with and without viscous tensors. Without viscous tensors, the constraints from thermodynamic stability exactly match those from linear mode analysis. In the presence of viscous tensors, the thermodynamic stability imposes more stringent constraints than those obtained from linear mode analysis. Our results suggest that conditions derived from thermodynamic stability analysis can guarantee both causality and stability in linear mode analysis.

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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 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.

  2. Quasiparticle second-order dissipative hydrodynamics at finite chemical potential

    hep-ph 2024-12 conditional novelty 5.0 of 10

    A quasiparticle kinetic theory with a bag term yields second-order equations of relativistic dissipative hydrodynamics with baryon diffusion and chemical-potential-dependent transport coefficients.

  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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