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.
Relativistic spin hydrodynamics with torsion and linear response theory for spin relaxation
8 Pith papers cite this work. Polarity classification is still indexing.
abstract
Using the second law of local thermodynamics and the first-order Palatini formalism, we formulate relativistic spin hydrodynamics for quantum field theories with Dirac fermions, such as QED and QCD, in a torsionful curved background. We work in a regime where spin density, which is assumed to relax much slower than other non-hydrodynamic modes, is treated as an independent degree of freedom in an extended hydrodynamic description. Spin hydrodynamics in our approach contains only three non-hydrodynamic modes corresponding to a spin vector, whose relaxation time is controlled by a new transport coefficient: the rotational viscosity. We study linear response theory and observe an interesting mode mixing phenomenon between the transverse shear and the spin density modes. We propose several field-theoretical ways to compute the spin relaxation time and the rotational viscosity, via the Green-Kubo formula based on retarded correlation functions.
citation-role summary
citation-polarity summary
roles
background 3polarities
background 3representative citing papers
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.
Carroll hydrodynamics with spin is obtained as the c→0 limit of relativistic hydrodynamics with spin, extending the description of boost-invariant flows.
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.
Spacetime-symmetry-breaking Goldstone EFTs systematically describe bulk and localized excitations of solids, fluids, and superfluids, with new thermodynamic identifications and corrected scattering rates.
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.
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.
-
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.
-
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.
-
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.
-
Effective Field Theories for Material Media
Spacetime-symmetry-breaking Goldstone EFTs systematically describe bulk and localized excitations of solids, fluids, and superfluids, with new thermodynamic identifications and corrected scattering rates.
-
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.