On a spectral problem in magnetohydrodynamics and its relevance for the geodynamo

TL;DR

This paper explores a spectral problem in magnetohydrodynamics related to the geodynamo, focusing on how exceptional spectral points influence magnetic field reversals, providing a new operator-theoretic perspective.

Contribution

It introduces an operator-theoretic framework for understanding magnetic reversals in the geodynamo, emphasizing the role of exceptional spectral points.

Findings

Exceptional spectral points are linked to magnetic reversals.

Operator theory offers insights into geodynamo dynamics.

Spectral analysis explains irregular reversal patterns.

Abstract

One of the most remarkable features of the geodynamo is the irregular occurrence of magnetic field reversals. Starting with the operator theoretical treatment of a non-selfadjoint dynamo operator, we elaborate a dynamical picture of those reversals that rely on the existence of exceptional spectral points.