Fate of spin polarization in a relativistic fluid: An entropy-current analysis

By K. Hattori, Masaru Hongo, Xu-Guang Huang, M. Matsuo, H. Taya. Physics Letters B, 2019

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Abstract We derive relativistic hydrodynamic equations with a dynamical spin degree of freedom on the basis of an entropy-current analysis. The first and second laws of local thermodynamics constrain possible structures of the constitutive relations including a spin current and the antisymmetric part of the (canonical) energy-momentum tensor. Solving the obtained hydrodynamic equations within the linear-mode analysis, we find spin-diffusion modes, indicating that spin density is damped out after a characteristic time scale controlled by transport coefficients introduced in the antisymmetric part of the energy-momentum tensor in the entropy-current analysis. This is a consequence of mutual convertibility between spin and orbital angular momentum.

Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/23d57373d6dc07ee05ccbe6340298bd61a64ea93

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In Astronomy and Astrophysics

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