Inserting Group Variables into Fluid Mechanics

TL;DR

This paper extends traditional fluid mechanics to include fluids with internal degrees of freedom labeled by a group variable, such as in quark-gluon plasmas, allowing for a more comprehensive theoretical description.

Contribution

It introduces a novel extension of Eulerian fluid mechanics to incorporate group variables, capturing internal symmetries within fluid models.

Findings

Extended Eulerian framework to include group variables.

Applicable to complex fluids like quark-gluon plasma.

Provides a basis for future theoretical and computational studies.

Abstract

A fluid, like a quark-gluon plasma, may possess degrees of freedom indexed by a group variable, which retains its identity even in the fluid/continuum description. Conventional Eulerian fluid mechanics is extended to encompass this possibility.