Ideal Spin Hydrodynamics from the Wigner Function Approach

作     者：Hao-Hao Peng Jun-Jie Zhang Xin-Li Sheng Qun Wang 彭浩浩;张俊杰;盛欣力;王群

作者机构：Interdisciplinary Center for Theoretical Study and Department of Modern PhysicsUniversity of Science and Technology of ChinaHefei 230026China Peng Huanwu Center for Fundamental TheoryHefei 230026China Northwest Institute of Nuclear TechnologyXi’an 710024China Key Laboratory of Quark and Lepton Physics(MOE) and Institute of Particle PhysicsCentral China Normal UniversityWuhan 430079China 

出 版 物：《Chinese Physics Letters》 (中国物理快报（英文版）)

年 卷 期：2021年第38卷第11期

页      面：37-43页

核心收录：

学科分类：080704[工学-流体机械及工程] 08[工学] 0807[工学-动力工程及工程热物理] 0805[工学-材料科学与工程（可授工学、理学学位）] 0827[工学-核科学与技术] 082701[工学-核能科学与工程] 0704[理学-天文学] 

基　　金：Supported by the National Natural Science Foundation of China (Grant Nos. 11890713, 11890710, 11947301, 11935007, 11221504,11861131009, 11890714, 11890710, and 12047528) the Strategic Priority Research Program of Chinese Academy of Sciences(Grant No. XDB34030102) 

主　　题：frame Ideal Spin Hydrodynamics from the Wigner Function Approach 

摘      要：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 Κ_(n) and the average spin polarization Χ_(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 Κ_(n) and Χ_(s).