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arXiv · 2205.08051

Gyrohydrodynamics: Relativistic spinful fluid with strong vorticity

Zheng Cao·Koichi Hattori·Masaru Hongo·Xu-Guang Huang·Hidetoshi Taya
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Abstract

We develop a relativistic (quasi-)hydrodynamic framework, dubbed the gyrohydrodynamics, to describe fluid dynamics of many-body systems with spin under strong vorticity based on entropy-current analysis. This framework generalizes the recently-developed spin hydrodynamics to the regime where the spin density is at the leading order in derivatives but suppressed by another small parameter, the Planck constant $\hbar$, due to its quantum nature. Our analysis shows that the complete first-order constitutive relations of gyrohydrodynamics involve seventeen transport coefficients and are highly anisotropic.

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Zheng Cao, Koichi Hattori, Masaru Hongo, Xu-Guang Huang, Hidetoshi Taya. 2022-05-17. Gyrohydrodynamics: Relativistic spinful fluid with strong vorticity. https://doi.org/10.1093/ptep/ptac091

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