TL;DR
This paper derives Kubo formulae for first-order spin hydrodynamics, incorporating spin degrees of freedom and spin-orbital coupling, enabling the calculation of new transport coefficients from microscopic theories.
Contribution
It introduces Kubo formulae for spin hydrodynamics, extending traditional methods to include spin-related transport coefficients using non-equilibrium statistical operators.
Findings
Derived Kubo formulae for spin hydrodynamics.
Identified two new transport coefficients due to spin effects.
Connected transport coefficients to equilibrium Green's functions.
Abstract
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.
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