Generalized relativistic second-order spin hydrodynamics from Zubarev's non-equilibrium statistical operator

Fuente: arXiv
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Main Authors: She, Duan, Qiu, Yi-Wei, Jiang, Ze-Fang, Hou, Defu
Format: Preprint
Published: 2025
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author She, Duan
Qiu, Yi-Wei
Jiang, Ze-Fang
Hou, Defu
author_facet She, Duan
Qiu, Yi-Wei
Jiang, Ze-Fang
Hou, Defu
contents Inspired by the work in Ref.[1], which considers the additional second-order contributions arising from nonlocal corrections due to two-point correlation functions of tensors of different ranks at distinct spacetime points, we similarly employ the nonequilibrium statistical operator method to extend this framework to include spin degrees of freedom. In addition to obtaining analogous extra second-order terms in the shear stress tensor, bulk viscous pressure, and charge diffusion currents resulting from such contributions, we further derive additional second-order terms originating from the same mechanism in the charge diffusion currents, rotational stress tensor and the boost heat vector. Furthermore, we express all transport coefficients represented by two-point or three-point correlations in terms of retarded Green's functions.
format Preprint
id arxiv_https___arxiv_org_abs_2505_01814
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Generalized relativistic second-order spin hydrodynamics from Zubarev's non-equilibrium statistical operator
She, Duan
Qiu, Yi-Wei
Jiang, Ze-Fang
Hou, Defu
Nuclear Theory
Inspired by the work in Ref.[1], which considers the additional second-order contributions arising from nonlocal corrections due to two-point correlation functions of tensors of different ranks at distinct spacetime points, we similarly employ the nonequilibrium statistical operator method to extend this framework to include spin degrees of freedom. In addition to obtaining analogous extra second-order terms in the shear stress tensor, bulk viscous pressure, and charge diffusion currents resulting from such contributions, we further derive additional second-order terms originating from the same mechanism in the charge diffusion currents, rotational stress tensor and the boost heat vector. Furthermore, we express all transport coefficients represented by two-point or three-point correlations in terms of retarded Green's functions.
title Generalized relativistic second-order spin hydrodynamics from Zubarev's non-equilibrium statistical operator
topic Nuclear Theory
url https://arxiv.org/abs/2505.01814