Chin. Phys. Lett.  2021, Vol. 38 Issue (11): 116701    DOI: 10.1088/0256-307X/38/11/116701
CONDENSED MATTER: STRUCTURE, MECHANICAL AND THERMAL PROPERTIES |
Ideal Spin Hydrodynamics from the Wigner Function Approach
Hao-Hao Peng1,2, Jun-Jie Zhang3, Xin-Li Sheng4*, and Qun Wang1,2
1Interdisciplinary Center for Theoretical Study and Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China
2Peng Huanwu Center for Fundamental Theory, Hefei 230026, China
3Northwest Institute of Nuclear Technology, Xi'an 710024, China
4Key Laboratory of Quark and Lepton Physics (MOE) and Institute of Particle Physics, Central China Normal University, Wuhan 430079, China
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Hao-Hao Peng, Jun-Jie Zhang, Xin-Li Sheng et al  2021 Chin. Phys. Lett. 38 116701
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Abstract Based on the Wigner function in local equilibrium, we derive hydrodynamical quantities for a system of polarized spin-1/2 particles: the particle number current density, the energy-momentum tensor, the spin tensor, and the dipole moment tensor. Compared with ideal hydrodynamics without spin, additional terms at the first and second orders in the Knudsen number ${Kn}$ and the average spin polarization $\chi_{s}$ have been derived. The Wigner function can be expressed in terms of matrix-valued distributions, whose equilibrium forms are characterized by thermodynamical parameters in quantum statistics. The equations of motion for these parameters are derived by conservation laws at the leading and next-to-leading order ${Kn}$ and $\chi_{s}$.
Received: 01 July 2021      Published: 28 October 2021
PACS:  67.30.eh (Transport and hydrodynamics)  
  67.30.hj (Spin dynamics)  
  05.60.Gg (Quantum transport)  
Fund: Supported by the National Natural Science Foundation of China (Grant Nos. 11890713, 11890710, 11947301, 11935007, 11221504, 11861131009, 11890714, 11890710, and 12047528), and the Strategic Priority Research Program of Chinese Academy of Sciences (Grant No. XDB34030102).
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http://cpl.iphy.ac.cn/10.1088/0256-307X/38/11/116701       OR      http://cpl.iphy.ac.cn/Y2021/V38/I11/116701
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Hao-Hao Peng
Jun-Jie Zhang
Xin-Li Sheng
and Qun Wang
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