Hydrodynamics in an external field

TL;DR

This paper applies statistical dynamics to analyze a fluid with multiple conserved fields in an external potential, extending previous models to include external influences.

Contribution

It introduces a framework for incorporating external potentials into the statistical dynamics of fluids with multiple conserved quantities.

Findings

Recovered a system of parabolic differential equations in the zero-potential case

Extended fluid dynamic corrections to include external fields

Provided a theoretical basis for external potential effects on fluid behavior

Abstract

The methods of statistical dynamics are applied to a fluid with 5 conserved fields (the mass, the energy, and the three components of momentum) moving in a given external potential. When the potential is zero, we recover a previously derived system of parabolic differential equations, called "corrections to fluid dynamics".