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arXiv · 2606.15364

Constructing perfect spin-1 hydrodynamics from Boltzmann to Bose-Einstein statistics

Sudip Kumar Kar·Valeriya Mykhaylova
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Abstract

We derive thermodynamic currents for a perfect fluid of massive spin-1 particles obeying Bose-Einstein statistics within the Wigner-function approach. Using a covariant spin density matrix, we construct spin-extended equilibrium distributions and obtain the energy-momentum and spin tensors that match, up to second order in polarization, those of spin-1/2 systems and the Boltzmann case. We find that the approach yields a unified description of relativistic spin hydrodynamics independent of statistics and spin representation. Furthermore, the framework fulfills the requirements of the divergence-type theory, with nonlinearly causal and stable dynamical equations.

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Sudip Kumar Kar, Valeriya Mykhaylova. 2026-06-13. Constructing perfect spin-1 hydrodynamics from Boltzmann to Bose-Einstein statistics. https://arxiv.org/abs/2606.15364

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