Gaussian fluctuating Generally covariant diffusion

TL;DR

This paper extends a covariant formalism to include conserved charge diffusion, clarifying differences between chemical potential and diffusion terms in a generally covariant framework.

Contribution

It introduces a covariant approach to charge diffusion and discusses the conceptual distinction between chemical potential and diffusion terms.

Findings

Extended covariant formalism to include charge diffusion

Clarified the difference between chemical potential and diffusion terms

Provided insights into seming differences in the formalism

Abstract

We extend the previously developed [1] generally covariant formalism to include diffusion of conserved charges, and comment on the seming difference between the chemica potential term and the diffusion term