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Preprint / Version 4

Axisymmetric Magnetic Fields Can Be Stably Generated by Simple Convection

##article.authors##

  • Mamoru Otsuki Independent researcher

DOI:

https://doi.org/10.51094/jxiv.520

Keywords:

Cowling’s theorem, dynamo theory, simple convection, celestial magnetic fields

Abstract

Researchers have struggled to understand the mechanism underlying the formation of celestial magnetic fields. The idea that complex convection is necessary to generate a magnetic field in some studies, including Cowling’s theorem, constrains research. Research in this field could progress through the discovery of a simple mechanism. This paper addresses simple axisymmetric poloidal convection and magnetic fields. The problem arises by rigorously deriving the electromagnetic induction equations. This is explained by comparing it using Cowling’s theorem as an example. Cowling’s theory omits certain elements from this equation. However, it was found that these elements are the very body of axisymmetric magnetic field generation. In other words, the meaning of Cowling’s theorem is reversed. This is a novel idea. As a result, even under simple axisymmetric convection, the possibility of generating axisymmetric magnetic fields is demonstrated. These findings will contribute to further elucidating the mechanism of the formation of magnetic fields.

Conflicts of Interest Disclosure

The author has no conflicts of interest to declare.

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References

E. H. Levy. Generation of planetary magnetic fields. Annu. Rev. Earth Planet. Sci., vol. 4 (1976), p. 159–185.

E. N. Parker. Hydromagnetic dynamo models. Astrophysical J., vol. 122 (1955), p. 293–314.

T. G. Cowling. The magnetic field of sunspots. Monthly Notices Roy. Astronomical Soc., vol. 94(1) (1933), p. 39–48.

H. S. Reall. Mathematical tripos part IB: Electromagnetism (2022).

Y. Zeldovich. The magnetic field in the two-dimensional motion of a conducting turbulent fluid. Sov. Phys. JETP., vol. 4 (1957), p. 460–462.

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Submitted: 2023-10-03 22:05:46 UTC

Published: 2023-10-16 02:08:10 UTC — Updated on 2024-05-28 08:01:08 UTC

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Section
Physics