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...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2019-08-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S037026931930351X |
| _version_ | 1818360028973760512 |
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| author | Koichi Hattori Masaru Hongo Xu-Guang Huang Mamoru Matsuo Hidetoshi Taya |
| author_facet | Koichi Hattori Masaru Hongo Xu-Guang Huang Mamoru Matsuo Hidetoshi Taya |
| author_sort | Koichi Hattori |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-13T20:54:17Z |
| format | Article |
| id | doaj.art-42057e4f6be24fbfa8804aee331bd371 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-12-13T20:54:17Z |
| publishDate | 2019-08-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-42057e4f6be24fbfa8804aee331bd3712022-12-21T23:31:48ZengElsevierPhysics Letters B0370-26932019-08-01795100106Fate of spin polarization in a relativistic fluid: An entropy-current analysisKoichi Hattori0Masaru Hongo1Xu-Guang Huang2Mamoru Matsuo3Hidetoshi Taya4Physics Department and Center for Field Theory and Particle Physics, Fudan University, Shanghai 200433, China; Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, JapanRIKEN iTHEMS, RIKEN, Wako 351-0198, Japan; Research and Education Center for Natural Sciences, Keio University, Yokohama, Kanagawa 223-8521, Japan; Corresponding author.Physics Department and Center for Field Theory and Particle Physics, Fudan University, Shanghai 200433, China; Key Laboratory of Nuclear Physics and Ion-beam Application (MOE), Fudan University, Shanghai 200433, ChinaKavli Institute of Theoretical Sciences, University of Chinese Academy of Sciences, 19 Yuquan Road, Beijing 100049, China; RIKEN Center for Emergent Matter Science (CEMS), Wako, Saitama 351-0198, Japan; Advanced Science Research Center, Japan Atomic Energy Agency, Tokai, 319-1195, JapanPhysics Department and Center for Field Theory and Particle Physics, Fudan University, Shanghai 200433, ChinaWe 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.http://www.sciencedirect.com/science/article/pii/S037026931930351X |
| spellingShingle | Koichi Hattori Masaru Hongo Xu-Guang Huang Mamoru Matsuo Hidetoshi Taya Fate of spin polarization in a relativistic fluid: An entropy-current analysis Physics Letters B |
| title | Fate of spin polarization in a relativistic fluid: An entropy-current analysis |
| title_full | Fate of spin polarization in a relativistic fluid: An entropy-current analysis |
| title_fullStr | Fate of spin polarization in a relativistic fluid: An entropy-current analysis |
| title_full_unstemmed | Fate of spin polarization in a relativistic fluid: An entropy-current analysis |
| title_short | Fate of spin polarization in a relativistic fluid: An entropy-current analysis |
| title_sort | fate of spin polarization in a relativistic fluid an entropy current analysis |
| url | http://www.sciencedirect.com/science/article/pii/S037026931930351X |
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