Stability studies of first-order spin-hydrodynamic frameworks
Abstract
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 (ωα β ) to be first order [O (∂) ] in the hydrodynamic gradient expansion. The hydrodynamic gradient ordering of the spin-chemical potential is a debatable issue within the frameworks of spin hydrodynamics. Therefore, as a second choice, we also consider the spin-hydrodynamic equations with ωα β∼O (1 ) . We find that, for both frameworks, at the level of linear perturbations some spin modes can be unstable. To remove these generic instabilities, we consider the Frenkel condition. We argue that the Frenkel condition helps get rid of the unstable solutions in both cases but with a physical drawback for the case where ωμ ν∼O (∂) .
- Publication:
-
Physical Review D
- Pub Date:
- March 2023
- DOI:
- 10.1103/PhysRevD.107.054043
- arXiv:
- arXiv:2209.10460
- Bibcode:
- 2023PhRvD.107e4043D
- Keywords:
-
- Nuclear Theory;
- High Energy Physics - Phenomenology
- E-Print:
- 11 pages. No figures. Comments are welcome