Ideal Spin Hydrodynamics from the Wigner Function Approach
Hao-Hao Peng1,2 , Jun-Jie Zhang3 , Xin-Li Sheng4* , and Qun Wang1,2
1 Interdisciplinary Center for Theoretical Study and Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China2 Peng Huanwu Center for Fundamental Theory, Hefei 230026, China3 Northwest Institute of Nuclear Technology, Xi'an 710024, China4 Key Laboratory of Quark and Lepton Physics (MOE) and Institute of Particle Physics, Central China Normal University, Wuhan 430079, China
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 $\chi_{s}$.
收稿日期: 2021-07-01
出版日期: 2021-10-28
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2021, Vol. 38 
