Linear response hydrodynamics of a relativistic dissipative fluid with spin

TL;DR

This paper develops a hydrodynamic framework incorporating shear, bulk viscosity, and spin density, analyzing sound and vortex interactions near local equilibrium using linear response theory.

Contribution

It introduces a Lagrangian hydrodynamics model that includes spin effects and viscosity, advancing the understanding of relativistic dissipative fluids with spin.

Findings

Comprehensive formulation of spin-inclusive hydrodynamics.

Analysis of sound and vortex interactions near equilibrium.

Framework applicable to relativistic dissipative fluids.

Abstract

We formulate a lagrangian hydrodynamics including shear and bulk viscosity in the presence of spin density, and investigate it using the linear response functional formalism. The result is a careful accounting of all sound and vortex interactions close to local equilibrium.