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

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...

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Bibliographic Details
Published in:	Physics letters. B Vol. 795; pp. 100 - 106
Main Authors:	Hattori, Koichi, Hongo, Masaru, Huang, Xu-Guang, Matsuo, Mamoru, Taya, Hidetoshi
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 10-08-2019 Elsevier
Online Access:	Get full text
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Summary:	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.
ISSN:	0370-2693 1873-2445
DOI:	10.1016/j.physletb.2019.05.040