Boost invariant spin hydrodynamics within the first order in derivative expansion

Abstract

Boost-invariant equations of spin hydrodynamics confined to the first-order terms in gradients are numerically solved. The spin equation of state, relating the spin density tensor to the spin chemical potential, is consistently included in the first order. Depending on its form and the structure of the spin transport coefficients, we find solutions which are both stable and unstable within the considered evolution times of 10 fm/c. These findings are complementary to the recent identification of stable and unstable modes for perturbed uniform spin systems described by similar hydrodynamic frameworks.

11 pages, 3 figures. Comments are welcome

References in corpus (12)

• 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
• The ideal relativistic spinning gas: polarization and spectra
• Relativistic second-order dissipative spin hydrodynamics from the method of moments
• Spin polarization evolution in a boost invariant hydrodynamical background
• Relativistic Spin Magnetohydrodynamics
• Spin and polarization: a new direction in relativistic heavy ion physics
• Relativistic dissipative spin hydrodynamics from kinetic theory with a nonlocal collision term
• Quantum kinetic theory for dynamical spin polarization from QED-type interaction
• Stability studies of first order spin-hydrodynamic frameworks
• The causality and stability of relativistic spin-hydrodynamics
• The linear mode analysis and spin relaxation

Cited by in corpus (7)

• Relativistic second-order spin hydrodynamics: an entropy-current analysis
• Hybrid approach to perfect and dissipative spin hydrodynamics
• Spin dynamics with realistic hydrodynamic background for relativistic heavy-ion collisions
• Boost-invariant spin hydrodynamics with spin feedback effects
• Hyperfluid model revisited
• Second-order spin hydrodynamics from Zubarev's nonequilibrium statistical operator formalism
• Hybrid framework of Fermi-Dirac spin hydrodynamics