Relativistic Second-order Spin Hydrodynamics: A Kubo-Type Formulation for the Quark-Gluon Plasma

Building upon Zubarev's nonequilibrium statistical operator formalism, we derive a relativistic canonical second-order spin hydrodynamics for two power-counting schemes. We obtain comprehensive second-order expressions for dissipative fluxes, including the shear stress tensor, bulk viscous pres...

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Bibliographic Details
Published in:arXiv.org 2024-10
Main Authors: Duan She, Yi-Wei, Qiu, Hou, Defu
Format: Article
Language:English
Subjects:
Correlation
Dissipation
Hydrodynamics
Operators (mathematics)
Quark-gluon plasma
Relativistic effects
Shear stress
Spin dynamics
Tensors
Transport properties
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Summary:Building upon Zubarev's nonequilibrium statistical operator formalism, we derive a relativistic canonical second-order spin hydrodynamics for two power-counting schemes. We obtain comprehensive second-order expressions for dissipative fluxes, including the shear stress tensor, bulk viscous pressure, charge-diffusion currents, rotational stress tensor, boost heat vector, and spin tensor-related dissipative flux. By introducing novel transport coefficients and expressing them in terms of equilibrium correlation functions, we establish new Kubo-type formulas for second-order transport. Our findings have significant implications for understanding the collective spin dynamics of strongly interacting matter and provide a robust theoretical basis for future experimental and theoretical studies.
ISSN:2331-8422