Stability studies of first order spin-hydrodynamic frameworks

Understand

We study the stability of first-order dissipative spin-hydrodynamic frameworks.

• We considered two different first-order dissipative spin-hydrodynamic frameworks.
• The first one considers the spin chemical potential ($\omega^{\alpha\beta}$) to be first order ($\mathcal{O}(\partial)$) in the hydrodynamic gradient expansion.
• The hydrodynamic gradient ordering of the spin chemical potential is a debatable issue within the frameworks of spin hydrodynamics.