Application range of perfect spin hydrodynamics

TL;DR

This paper explores the applicability of perfect spin hydrodynamics using classical and quantum descriptions, establishing conditions linking spin polarization, particle properties, and flow for modeling heavy-ion collisions.

Contribution

It introduces new conditions connecting spin polarization, particle mass, temperature, and flow in perfect spin hydrodynamics, enhancing modeling capabilities.

Findings

Different forms of conditions linking spin polarization tensor components and flow.

Relations between spin polarization, particle mass, and temperature.

Implications for modeling heavy-ion collisions.

Abstract

The application range of perfect spin hydrodynamics is studied in two cases: one based on the classical spin description and the other using a quantum spin density matrix (Wigner function). Different forms of the conditions connecting the components of the spin polarization tensor, particle mass, temperature, and hydrodynamic flow are introduced, and their mutual relations are explained. The results obtained are important for practical applications of spin hydrodynamics to model heavy-ion collisions.