Relativistic first-order spin hydrodynamics via the Chapman-Enskog expansion

被引：40

作者：

Hu, Jin ^{[1
]}

机构：

[1] Tsinghua Univ, Dept Phys, Beijing 100084, Peoples R China

来源：

PHYSICAL REVIEW D | 2022年 / 105卷 / 07期

关键词：

POLARIZATION; FLUID;

D O I：

10.1103/PhysRevD.105.076009

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

In this paper, we present a detailed derivation of relativistic first-order spin hydrodynamics using the Chapman-Enskog method to linearize the nonlocal collision term for massive fermions proposed in Weickgenannt et al. [Phys. Rev. D 104, 016022 (2021)], which well describes spin-orbit coupling in the collision process and is relevant for the research on local spin polarization. Based on this collisional term, we provide a formal discussion about first-order spin hydrodynamics and determine the motion equations of fluid variables and nonequilibrium corrections to the energy-momentum and spin tensors. The results indicate that the motion equations show no differences compared to spinless first-order hydrodynamics and the energy-momentum tensor receives no corrections from spin as far as first-order theory is concerned, which calls for the construction of second-order theory of fluids naturally incorporating the effect of spin-orbit coupling.

引用

页数：11

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