19–23 Dec 2024
Swatantrata Bhavan, Banaras Hindu University, Varanasi
Asia/Kolkata timezone

Relativistic second-order spin hydrodynamics: A correlation function approach using Zubarev's non-equilibrium statistical operator

Not scheduled
20m
Swatantrata Bhavan, Banaras Hindu University, Varanasi

Swatantrata Bhavan, Banaras Hindu University, Varanasi

Department of Physics, I.Sc., Banaras Hindu University, 221005 Varanasi, India
Oral Heavy ion and QCD

Speaker

Mr Abhishek Tiwari (Indian Institute of Technology Roorkee)

Description

Utilizing Zubarev's nonequilibrium statistical operator, we derive the second-order expression for the dissipative tensors in relativistic spin hydrodynamics, namely the rotational stress tensor ($\tau_{\mu\nu}$), boost heat vector ($q_\mu$), shear stress tensor ($\pi_{\mu\nu}$), and bulk viscous pressure ($\Pi$). The emergence of the first two terms, $\tau_{\mu\nu}$ and $q_\mu$, is attributed to the inclusion of the antisymmetric part in the energy-momentum tensor. In this work, we also treat the spin density ($S^{\mu \nu}$) as an independent thermodynamic variable alongside energy density and particle density, leading to an additional transport coefficient characterized by the correlation between $S^{\mu \nu}$ and $\tau_{\mu\nu}$. Finally, we derive the evolution equations for the aforementioned tensors—$\tau_{\mu\nu}$, $q_\mu$, $\pi_{\mu\nu}$, and $\Pi$.

Field of contribution Theory

Author

Mr Abhishek Tiwari (Indian Institute of Technology Roorkee)

Co-author

Mr Binoy Krishna Patra (Indian Institute of Technology Roorkee)

Presentation materials

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