Electromagnetic Helicity in Classical Physics
Amir Jafari
TL;DR
This paper reviews electromagnetic helicity in classical physics, emphasizing its importance in dynamo theories and addressing the inconsistency of magnetic helicity conservation in existing models.
Contribution
It clarifies the concept of electromagnetic helicity and highlights a major mathematical inconsistency in mean field dynamo theories regarding helicity conservation.
Findings
Magnetic helicity plays a crucial role in dynamo processes.
Most mean field dynamo theories violate magnetic helicity conservation.
The paper provides a pedagogical review of dynamo theory and helicity concepts.
Abstract
This pedagogical note revisits the concept of electromagnetic helicity in classical systems. In particular, magnetic helicity and its role in mean field dynamo theories is briefly discussed highlighting the major mathematical inconsistency in most of these theories---violation of magnetic helicity conservation. A short review of kinematic dynamo theory and its classic theorems is also presented in the Appendix.
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Taxonomy
TopicsQuantum Mechanics and Applications · Relativity and Gravitational Theory · Geophysics and Sensor Technology