Ideal Spin Hydrodynamics from the Wigner Function Approach

doi:10.1088/0256-307X/38/11/116701

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 Peng^1,2, Jun-Jie Zhang³, Xin-Li Sheng^4*, and Qun Wang^1,2

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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https://cpl.iphy.ac.cn/10.1088/0256-307X/38/11/116701 OR https://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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