Analytic Origin of Advection of Magnetic Fields by Diffusivity Gradients

TL;DR

This paper derives the physical mechanism behind magnetic field advection caused by diffusivity gradients, providing a theoretical foundation relevant for solar, space, and laboratory plasma studies.

Contribution

It introduces a new derivation of magnetic advection due to diffusivity gradients from the induction equation, connecting theory with practical plasma applications.

Findings

Derived the advection term from the induction equation.

Compared results with existing literature.

Discussed applications in solar and laboratory plasmas.

Abstract

We derive the advection of magnetic fields due to gradients in magnetic diffusivity, starting from the magnetic induction equation. We discuss physical examples, and compare our results to those in the literature. Our induction and diffusion equations may be useful in solar dynamo studies, and for space and laboratory plasmas.