  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. The Kubo formulae,
based on the method of non-equilibrium statistical operators, are related to
equilibrium (imaginary-time) infrared Green's functions, and all the transport
coefficients can be determined when the microscopic theory is specified.
