A (1+1+2)D relativistic spin hydrodynamics model with transverse expansion and longitudinal spin acceleration reproduces the observed quadrupole pattern in longitudinal Lambda polarization for Au+Au collisions at 200 GeV.
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Fate of spin polarization in a relativistic fluid: An entropy-current analysis
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abstract
We derive relativistic hydrodynamic equations with a dynamical spin degree of freedom on the basis of an entropy-current analysis. The first and second laws of local thermodynamics constrain possible structures of the constitutive relations including a spin current and the antisymmetric part of the (canonical) energy-momentum tensor. Solving the obtained hydrodynamic equations within the linear-mode analysis, we find spin-diffusion modes, indicating that spin density is damped out after a characteristic time scale controlled by transport coefficients introduced in the antisymmetric part of the energy-momentum tensor in the entropy-current analysis. This is a consequence of mutual convertibility between spin and orbital angular momentum.
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Carroll hydrodynamics with spin is obtained as the c→0 limit of relativistic hydrodynamics with spin, extending the description of boost-invariant flows.
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.
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.
In boost-invariant cylindrical spin hydrodynamics, azimuthal-longitudinal coupling in the spin tensor produces nonzero total polarization only via the longitudinal magnetic component coupled to the azimuthal electric component.
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.
The review summarizes developments in spin hydrodynamics, polarization from spin-vorticity coupling, pseudo-gauge freedom, and heavy-flavor spin dynamics in relativistic systems.
citing papers explorer
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Modeling $\Lambda$ polarization in Au$+$Au collisions at $\sqrt{s_{\rm NN}}=200$ GeV using relativistic spin hydrodynamics
A (1+1+2)D relativistic spin hydrodynamics model with transverse expansion and longitudinal spin acceleration reproduces the observed quadrupole pattern in longitudinal Lambda polarization for Au+Au collisions at 200 GeV.
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Carroll hydrodynamics with spin
Carroll hydrodynamics with spin is obtained as the c→0 limit of relativistic hydrodynamics with spin, extending the description of boost-invariant flows.
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Exact expectation values in a boost-invariant fluid of Dirac fermions with finite spin density
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.
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Dissipative spin hydrodynamics in Bjorken flow and thermal dilepton production
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.
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Boost-invariant and cylindrically symmetric perfect spin hydrodynamics
In boost-invariant cylindrical spin hydrodynamics, azimuthal-longitudinal coupling in the spin tensor produces nonzero total polarization only via the longitudinal magnetic component coupled to the azimuthal electric component.
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Boost-invariant perfect Fermi-Dirac spin hydrodynamics
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.
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Spin dynamics and polarization in relativistic systems: recent developments
The review summarizes developments in spin hydrodynamics, polarization from spin-vorticity coupling, pseudo-gauge freedom, and heavy-flavor spin dynamics in relativistic systems.