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Non-dissipative second-order transport, spin, and pseudo-gauge transformations in hydrodynamics

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arxiv 2011.12318 v3 pith:HT4J7VDN submitted 2020-11-24 hep-th nucl-th

Non-dissipative second-order transport, spin, and pseudo-gauge transformations in hydrodynamics

classification hep-th nucl-th
keywords hydrodynamicssecond-orderrelationssecondspintransportclosecoefficients
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We derive a set of nontrivial relations between second-order transport coefficients which follow from the second law of thermodynamics upon considering a regime close to uniform rotation of the fluid. We demonstrate that extension of hydrodynamics by spin variable is equivalent to modifying conventional hydrodynamics by a set of second-order terms satisfying the relations we derived. We point out that a novel contribution to the heat current orthogonal to vorticity and temperature gradient reminiscent of the thermal Hall effect is constrained by the second law.

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Cited by 6 Pith papers

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

  1. A symmetry-based resolution of pseudo-gauge ambiguities in local equilibrium

    nucl-th 2026-07 accept novelty 6.0

    Local-equilibrium density operators built only from genuine conserved currents are invariant under pseudo-gauge and improvement transformations of the energy-momentum and spin tensors.

  2. Exact expectation values in a boost-invariant fluid of Dirac fermions with finite spin density

    hep-th 2026-04 unverdicted novelty 6.0

    Exact calculations in a boost-invariant free Dirac fermion fluid show spin polarization arises only from finite spin potential, with shear-induced polarization and spin Hall effect absent.

  3. Dissipative spin hydrodynamics in Bjorken flow and thermal dilepton production

    nucl-th 2026-04 unverdicted novelty 6.0

    Spin dynamics in dissipative hydrodynamics enhance thermal dilepton yields relative to standard viscous hydrodynamics in Bjorken flow, with the enhancement depending on spin transport coefficients.

  4. Attractors in a Generalized Relativistic Second Order Spin Hydrodynamics

    hep-ph 2026-05 unverdicted novelty 4.0

    Derives early-time fixed point structure and late-time asymptotics for spin density attractors in generalized second-order spin hydrodynamics using Zubarev's formalism in the spin probe limit.

  5. Boost-invariant perfect Fermi-Dirac spin hydrodynamics

    hep-ph 2026-04 unverdicted novelty 4.0

    Fermi-Dirac statistics in boost-invariant perfect spin hydrodynamics produce evolution differences about one order of magnitude smaller than spin-feedback corrections, with special functions conveniently parametrized.

  6. Spin dynamics and polarization in relativistic systems: recent developments

    nucl-th 2026-05 unverdicted novelty 1.0

    The review summarizes developments in spin hydrodynamics, polarization from spin-vorticity coupling, pseudo-gauge freedom, and heavy-flavor spin dynamics in relativistic systems.