Stability and causality of rest frame modes in second-order spin hydrodynamics
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866914789271273472 |
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| author | Daher, Asaad Florkowski, Wojciech Ryblewski, Radoslaw Taghinavaz, Farid |
| author_facet | Daher, Asaad Florkowski, Wojciech Ryblewski, Radoslaw Taghinavaz, Farid |
| contents | We analyze the low- and high-momentum rest frame modes in the second-order spin hydrodynamics and check the asymptotic causality of the theory. A truncation scheme of the Israel-Stewart formalism derived in our earlier work is proposed that extends the minimal causal formulation. It consists of altogether 40 interconnected relaxation-type dynamical equations -- 16 (24) of them correspond to the independent components of the energy-momentum (spin) tensor. Similarly to previous studies, we find that the stability of the perturbations and asymptotic causality require using the spin equation of state that satisfies the generalized Frenkel condition demanding that the ``electric'' and ``magnetic'' components of the spin density tensor have opposite signs. For low-momentum modes this behavior is similar to that found earlier for the first-order (Navier-Stokes) spin hydrodynamics. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2403_04711 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stability and causality of rest frame modes in second-order spin hydrodynamics Daher, Asaad Florkowski, Wojciech Ryblewski, Radoslaw Taghinavaz, Farid High Energy Physics - Phenomenology Mathematical Physics Nuclear Theory We analyze the low- and high-momentum rest frame modes in the second-order spin hydrodynamics and check the asymptotic causality of the theory. A truncation scheme of the Israel-Stewart formalism derived in our earlier work is proposed that extends the minimal causal formulation. It consists of altogether 40 interconnected relaxation-type dynamical equations -- 16 (24) of them correspond to the independent components of the energy-momentum (spin) tensor. Similarly to previous studies, we find that the stability of the perturbations and asymptotic causality require using the spin equation of state that satisfies the generalized Frenkel condition demanding that the ``electric'' and ``magnetic'' components of the spin density tensor have opposite signs. For low-momentum modes this behavior is similar to that found earlier for the first-order (Navier-Stokes) spin hydrodynamics. |
| title | Stability and causality of rest frame modes in second-order spin hydrodynamics |
| topic | High Energy Physics - Phenomenology Mathematical Physics Nuclear Theory |
| url | https://arxiv.org/abs/2403.04711 |