Gyrohydrodynamics: Relativistic spinful fluid with strong vorticity

Abstract

We develop a relativistic (quasi-)hydrodynamic framework, dubbed the gyrohydrodynamics, to describe fluid dynamics of many-body systems with spin under strong vorticity based on entropy-current analysis. This framework generalizes the recently-developed spin hydrodynamics to the regime where the spin density is at the leading order in derivatives but suppressed by another small parameter, the Planck constant $\hslash$, due to its quantum nature. Our analysis shows that the complete first-order constitutive relations of gyrohydrodynamics involve seventeen transport coefficients and are highly anisotropic.

References in corpus (4)

• Angular momentum conservation in heavy ion collisions at very high energy
• Polarization probes of vorticity in heavy ion collisions
• Fate of spin polarization in a relativistic fluid: An entropy-current analysis
• Global polarization of $\Xi$ and $\Omega$ hyperons in Au+Au collisions at $\sqrt{s_{{}_{NN}}}$ = 200 GeV

Cited by in corpus (22)

• Relativistic dissipative spin hydrodynamics from kinetic theory with a nonlocal collision term
• Theories of Relativistic Dissipative Fluid Dynamics
• New developments in relativistic magnetohydrodynamics
• Stability studies of first order spin-hydrodynamic frameworks
• The causality and stability of relativistic spin-hydrodynamics
• Anomalous magnetohydrodynamics with temperature-dependent electric conductivity and application to the global polarization
• Spin dynamics with realistic hydrodynamic background for relativistic heavy-ion collisions
• An introduction to relativistic spin hydrodynamics
• Collisional corrections to spin polarization from quantum kinetic theory using Chapman-Enskog expansion
• Emergent Canonical Spin Tensor in the Chiral-Symmetric Hot QCD
• Relativistic second-order spin hydrodynamics: A Kubo-type formulation for the quark-gluon plasma
• Phenomenological Relativistic Second-Order Hydrodynamics for Multiflavor Fluids
• Vector and Tensor Spin Polarization for Vector Bosons at Local Equilibrium
• Spin Polarization of $\Lambda$ hyperons from Dissipative Spin Hydrodynamics
• Polarization of spin-1/2 particles with effective spacetime dependent masses
• Anisotropic linear waves and breakdown of the momentum expansion in spin magnetohydrodynamics
• First-order spin magnetohydrodynamics
• Motion of Spinning and Spinning Deviation Density Tensors in Riemannian Geometry
• Tensor spin polarization induced by curved freeze-out hypersurface
• Theoretical aspects of relativistic spin hydrodynamics coupled with electromagnetic fields
• Perfect spinfluid: A divergence-type approach
• On the local thermodynamic relations in relativistic spin hydrodynamics