Nonlinear causality and stability of perfect spin hydrodynamics and its nonperturbative character
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| Format: | Preprint |
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2025
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| _version_ | 1866918216583872512 |
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| author | Bhadury, Samapan Drogosz, Zbigniew Florkowski, Wojciech Kar, Sudip Kumar Mykhaylova, Valeriya |
| author_facet | Bhadury, Samapan Drogosz, Zbigniew Florkowski, Wojciech Kar, Sudip Kumar Mykhaylova, Valeriya |
| contents | Four formulations of perfect spin hydrodynamics for spin-1/2 particles, distinguished by their treatment of spin (classical vs. quantum) and by the underlying particle statistics (Boltzmann vs. Fermi-Dirac), are analyzed and shown to satisfy the requirements of a divergence-type theory. Moreover, for all the formulations, we define the generating functions associated with the relevant thermodynamic currents and demonstrate that the constructed hydrodynamic theory is nonlinearly causal and stable. The latter is achieved by employing the exact expressions for the distribution functions, indicating a nonperturbative character of our approach. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2511_19295 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Nonlinear causality and stability of perfect spin hydrodynamics and its nonperturbative character Bhadury, Samapan Drogosz, Zbigniew Florkowski, Wojciech Kar, Sudip Kumar Mykhaylova, Valeriya High Energy Physics - Phenomenology Nuclear Theory Four formulations of perfect spin hydrodynamics for spin-1/2 particles, distinguished by their treatment of spin (classical vs. quantum) and by the underlying particle statistics (Boltzmann vs. Fermi-Dirac), are analyzed and shown to satisfy the requirements of a divergence-type theory. Moreover, for all the formulations, we define the generating functions associated with the relevant thermodynamic currents and demonstrate that the constructed hydrodynamic theory is nonlinearly causal and stable. The latter is achieved by employing the exact expressions for the distribution functions, indicating a nonperturbative character of our approach. |
| title | Nonlinear causality and stability of perfect spin hydrodynamics and its nonperturbative character |
| topic | High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2511.19295 |