Alpha clustering in 16O and 20Ne suppresses initial spin fluctuations in relativistic collisions, with a scaled ratio of fluctuations between the two systems proposed as a probe of cluster geometry.
Canonical reference
Relativistic hydrodynamics for spin-polarized fluids
Canonical reference. 100% of citing Pith papers cite this work as background.
10
Pith papers citing it
Background
100% of classified citations
abstract
Recent progress in the formulation of relativistic hydrodynamics for particles with spin one-half is reviewed. We start with general arguments advising introduction of a tensor spin chemical potential that plays a role of the Lagrange multiplier coupled to the spin angular momentum. Then, we turn to a discussion of spin-dependent distribution functions that have been recently proposed to construct a hydrodynamic framework including spin and serve as a tool in phenomenological studies of hadron polarization. Distribution functions of this type are subsequently used to construct the equilibrium Wigner functions that are employed in the semi-classical kinetic equation. The semi-classical expansion elucidates several aspects of the hydrodynamic approach, in particular, shows the ways in which different possible versions of hydrodynamics with spin can be connected by pseudo-gauge transformations. These results point out at using the de~Groot - van~Leeuwen - van~Weert versions of the energy-momentum and spin tensors as the most natural and complete physical variables. Finally, a totally new method is proposed to design hydrodynamics with spin, which is based on the classical treatment of spin degrees of freedom. Interestingly, for small values of the spin chemical potential the new scheme brings the results that coincide with those obtained before. The classical approach also helps us to resolve problems connected with the normalization of the spin polarization three-vector. In addition, it clarifies the role of the Pauli-Lubanski vector and the entropy current conservation. We close our review with several general comments presenting possible future developments of the discussed frameworks.
citation-role summary
background 6
citation-polarity summary
roles
background 6polarities
background 6representative citing papers
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.
A (1+1+2)D spin hydrodynamics model with longitudinal spin acceleration and transverse expansion reproduces the quadrupole pattern in longitudinal Lambda polarization and matches Au+Au data at 200 GeV while predicting in-plane transverse polarization.
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.
The Cooper-Frye map at freeze-out admits a stratified fibration induced by pseudo-gauge stabilizers, classifying observables and recovering the Belinfante-canonical obstruction.
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.
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.
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
-
Initial spin fluctuations as a probe of cluster spin structure in $^{16}\mathrm{O}$ and $^{20}\mathrm{Ne}$ nuclei
Alpha clustering in 16O and 20Ne suppresses initial spin fluctuations in relativistic collisions, with a scaled ratio of fluctuations between the two systems proposed as a probe of cluster geometry.
-
A symmetry-based resolution of pseudo-gauge ambiguities in local equilibrium
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.
-
Modeling $\Lambda$ polarization in Au$+$Au collisions at $\sqrt{s_{\rm NN}}=200$ GeV using relativistic spin hydrodynamics
A (1+1+2)D spin hydrodynamics model with longitudinal spin acceleration and transverse expansion reproduces the quadrupole pattern in longitudinal Lambda polarization and matches Au+Au data at 200 GeV while predicting in-plane transverse polarization.
-
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.
-
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.
-
Pseudo-Gauge Stabilizers and Fibration Structure of the Cooper--Frye Map at Freeze-Out
The Cooper-Frye map at freeze-out admits a stratified fibration induced by pseudo-gauge stabilizers, classifying observables and recovering the Belinfante-canonical obstruction.
-
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.
-
Attractors in a Generalized Relativistic Second Order Spin Hydrodynamics
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.
-
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.
-
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.