Kubo formulae for first-order spin hydrodynamics

Understand

We derive Kubo formulae for first-order spin hydrodynamics based on non-equilibrium statistical operators method.

• In first-order spin hydrodynamics, there are two new transport coefficients besides the ordinary ones appearing in first-order viscous hydrodynamics.
• They emerge due to the incorporation of the spin degree of freedom into fluids and the spin-orbital coupling.
• Zubarev's non-equilibrium statistical operator method can be well applied to investigate these quantum effects in fluids.