Fate of spin polarization in a relativistic fluid: An entropy-current analysis
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.
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Cite
@article{arxiv.1901.06615,
title = {Fate of spin polarization in a relativistic fluid: An entropy-current analysis},
author = {Koichi Hattori and Masaru Hongo and Xu-Guang Huang and Mamoru Matsuo and Hidetoshi Taya},
journal= {arXiv preprint arXiv:1901.06615},
year = {2019}
}
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7 pages