Hydrodynamics formalism with Spin dynamics

TL;DR

This paper reviews the development of a relativistic hydrodynamics framework incorporating spin dynamics, deriving equations from quantum kinetic theory and analyzing spin polarization evolution in a Bjorken flow.

Contribution

It introduces a formalism for relativistic fluid dynamics with spin, deriving equations from quantum kinetic theory and applying them to a Bjorken flow scenario.

Findings

Derived equations of motion for spin hydrodynamics.

Analyzed spin polarization dynamics in Bjorken flow.

Connected quantum kinetic theory with relativistic fluid models.

Abstract

We review the key steps of the relativistic fluid dynamics formalism with spin degrees of freedom initiated recently. We obtain equations of motion of the expansion of the system from the underlying definitions of quantum kinetic theory for the equilibrium phase space distribution functions. We investigate the dynamics of spin polarization of the system in the Bjorken hydrodynamical background.